Publications

2024

Articles in a Journal (reviewed)    ↑ top

Jonas Schießl, Michael Heinrich Baumann, Timm Faulwasser and Lars Grüne: On the relationship between stochastic turnpike and dissipativity notions. In: IEEE Transactions on Automatic Control, (2024). - .
doi:10.1109/TAC.2024.3504352

Lea Bold, Lars Grüne, Manuel Schaller and Karl Worthmann: Data-driven MPC with stability guarantees using extended dynamic mode decomposition. In: IEEE Transactions on Automatic Control, Online First (2024). - S. 1-8.
doi:10.1109/TAC.2024.3431169

Rami Katz, Thomas Kriecherbauer, Lars Grüne and Michael Margaliot: On the gain of entrainment in a class of weakly contractive bilinear control systems. In: SIAM Journal on Control and Optimization, 62 (2024). - S. 2723-2749.
doi:10.1137/23M1585714

Philipp Braun, Timm Faulwasser, Lars Grüne, Christopher M. Kellett, Willi Semmler and Steven R. Weller: On the social cost of carbon and discounting in the DICE model. In: AIMS Environmental Science, 11 (2024). - S. 471-495.
doi:10.3934/environsci.2024024

David Angeli and Lars Grüne: Dissipativity in infinite horizon optimal control and dynamic programming. In: Applied Mathematics and Optimization, 89 (2024). - .
doi:10.1007/s00245-024-10103-y

Kilian Pioch, Thomas Kriecherbauer, Michael Margaliot and Lars Grüne: Model order reduction for the TASEP Master equation. In: IFAC-PapersOnLine, 58 (2024). - S. 109-114.
doi:10.1016/j.ifacol.2024.10.122

Preprints    ↑ top

Julian D. Schiller, Lars Grüne and Matthias A. Müller: Optimal state estimation : Turnpike analysis and performance results.. - Bayreuth ; Hannover, 2024-09-23. - 8 S.
doi:10.48550/arXiv.2409.14873

Mario Sperl, Jonas Mysliwitz and Lars Grüne: Approximation of Separable Control Lyapunov Functions with Neural Networks.. - Bayreuth, 2024-08. - 11 S.
doi:10.15495/EPub_UBT_00007857

Laura Weigl and Anton Schiela: Newton's method for nonlinear mappings into vector bundles.. - Bayreuth, 2024-06-18. - 31 S.
doi:10.48550/arXiv.2404.04073

Frederik Köhne, Friedrich M. Philipp, Manuel Schaller, Anton Schiela and Karl Worthmann: L∞-error bounds for approximations of the Koopman operator by kernel extended dynamic mode decomposition.. - Ilmenau ; Bayreuth, 2024-03-28. - 21 S.
doi:10.48550/arXiv.2403.18809

Jonas Schießl, Ruchuan Ou, Timm Faulwasser, Michael Heinrich Baumann and Lars Grüne: Near-optimal performance of stochastic economic MPC.. - Bayreuth, 2024-03. - 7 S.
doi:10.48550/arXiv.2403.15159

PhD Theses    ↑ top

Tobias Sproll:Numerical Identification of Motor Units in Muscle Tissue from High Resolution EMG Data. - Bayreuth: 2024. - VIII, 103 S.
(Dissertation, 2024, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)
doi:10.15495/EPub_UBT_00007473

Lisa Krügel:Dissipativity-Based Analysis of Multiobjective Optimal and Predictive Control. - Bayreuth: 2024. - VII, 139 S.
(Dissertation, 2024, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)
doi:10.15495/EPub_UBT_00007479

2023

Articles in a Journal (reviewed)    ↑ top

Bastian Pötzl, Anton Schiela and Patrick Jaap: Inexact Proximal Newton methods in Hilbert spaces. In: Computational Optimization and Applications, (2023). - S. 1-37.
doi:10.1007/s10589-023-00515-x

Andreas Ernst, Lars Grüne and Janosch Rieger: A linear programming approach to approximating the infinite time reachable set of strictly stable linear control systems. In: Journal of Global Optimization, 86 (2023). - S. 521-543.
doi:10.1007/s10898-022-01261-w

Michael Heinrich Baumann, Michaela Baumann, Lars Grüne and Bernhard Herz: Market Structure and Instability Artifacts in Heterogeneous Agent Models: Lessons from Implicit Discretizations of Stiff Equations. In: Computational Economics, 62 (2023). - S. 855-890.
doi:10.1007/s10614-022-10285-z

Gabriele Eichfelder, Lars Grüne, Lisa Krügel and Jonas Schießl: Relaxed dissipativity assumptions and a simplified algorithm for multiobjective MPC. In: Computational Optimization and Applications, 86 (2023). - S. 1081-1116.
doi:10.1007/s10589-022-00398-4

Johannes Köhler, Melanie Zeilinger and Lars Grüne: Stability and performance analysis of NMPC : Detectable stage costs and general terminal costs. In: IEEE Transactions on Automatic Control, 68 (2023). - S. 6114-6129.
doi:10.1109/TAC.2023.3235244

Lars Grüne and Mario Sperl: Examples for separable control Lyapunov functions and their neural network approximation. In: IFAC-PapersOnLine, 56 (2023). - S. 19-24.
doi:10.1016/j.ifacol.2023.02.004

Robert Baier and Elza Farkhi: A Filippov Approximation Theorem for Strengthened One-Sided Lipschitz Differential Inclusions. In: Computational Optimization and Applications, 86 (2023). - S. 885-923.
doi:10.1007/s10589-023-00517-9

Ron Ofir, Thomas Kriecherbauer, Lars Grüne and Michael Margaliot: On the gain of entrainment in the n-dimensional ribosome flow model. In: Interface : Journal of the Royal Society, 20 (2023). - .
doi:10.1098/rsif.2022.0763

Michael Heinrich Baumann: On theoretical foundations of mostly model-free cross-coupled simultaneously long-short stock trading controllers. In: European Journal of Control, 74 (2023). - .
doi:10.1016/j.ejcon.2023.100851

Matthias Köhler, Lisa Krügel, Lars Grüne, Matthias A. Müller and Frank Allgöwer: Transient Performance of MPC for Tracking. In: IEEE Control Systems Letters, 7 (2023). - S. 2545-2550.
doi:10.1109/LCSYS.2023.3287798

Conference Proceedings (reviewed)    ↑ top

Jonas Schießl, Ruchuan Ou, Timm Faulwasser, Michael Heinrich Baumann and Lars Grüne: Pathwise turnpike and dissipativity results for discrete-time stochastic linear-quadratic optimal control problems. In: 2023 62nd IEEE Conference on Decision and Control (CDC). - Singapore, Singapore : 2023. - S. 2790-2795.
doi:10.1109/CDC49753.2023.10384081

Mario Sperl, Luca Saluzzi, Lars Grüne and Dante Kalise: Separable approximations of optimal value functions under a decaying sensitivity assumption. In: 62nd IEEE Conference on Decision and Control (CDC) 2023. - Singapore, Singapore : 2023. - S. 259-264.
doi:10.1109/CDC49753.2023.10383497

Michael Heinrich Baumann: How Skewed are Simultaneously Long-Short Trading Gains?. In: 2023 European Control Conference (ECC). - Bucharest, Romania : IEEE, 2023. - S. 1-6.

Lisa Krügel, Timm Faulwasser and Lars Grüne: Local Turnpike Properties in Finite Horizon Optimal Control. In: 62nd IEEE Conference on Decision and Control (CDC) 2023. - Singapore : 2023. - S. 5273-5278.
doi:10.1109/CDC49753.2023.10383850

Book Chapters (reviewed)    ↑ top

Philipp Braun, Lars Grüne, Christopher Kellett and Karl Worthmann: Model Predictive Control and Distributed Optimization in Smart Grid Applications. In: Michel Fathi, Enrico Zio, Panos M. Pardalos (Hrsg.): Handbook of Smart Energy Systems. - Cham : Springer, 2023.
doi:10.1007/978-3-030-72322-4_163-1

Preprints    ↑ top

Frederik Köhne, Leonie Kreis, Anton Schiela and Roland Herzog: Adaptive Step Sizes for Preconditioned Stochastic Gradient Descent.. - Bayreuth ; Heidelberg, 2023-11. - 31 S.
doi:10.48550/arXiv.2311.16956

Roland Herzog, Frederik Köhne, Leonie Kreis and Anton Schiela: Frobenius-Type Norms and Inner Products of Matrices and Linear Maps with Applications to Neural Network Training.. - Bayreuth ; Heidelberg, 2023-11. - 14 S.
doi:10.48550/arXiv.2311.15419

Ruchuan Ou, Jonas Schießl, Michael Heinrich Baumann, Lars Grüne and Timm Faulwasser: A Polynomial Chaos Approach to Stochastic LQ Optimal Control: Error Bounds and Infinite-Horizon Results.. - Dortmund ; Bayreuth, 2023-11. -
doi:10.48550/arXiv.2311.17596

Evelyn Herberg, Roland Herzog, Frederik Köhne, Leonie Kreis and Anton Schiela: Sensitivity-Based Layer Insertion for Residual and Feedforward Neural Networks.. - Bayreuth ; Heidelberg, 2023-11. - 15 S.
doi:10.48550/arXiv.2311.15995

Jonas Schießl, Ruchuan Ou, Timm Faulwasser, Michael Heinrich Baumann and Lars Grüne: Turnpike and dissipativity in generalized discrete-time stochastic linear-quadratic optimal control.. - Bayreuth, 2023-09. -
doi:10.48550/arXiv.2309.05422

Tobias Sproll and Anton Schiela: Numerical Solution of an Identifcation Problem in Electromyography.. - Bayreuth, 2023-06. - 21 S.

PhD Theses    ↑ top

Bastian Pötzl:Inexact Proximal Newton Methods for Finite Strain Plasticity. - Bayreuth: 2023. - X, 215 S.
(Dissertation, 2023, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)
doi:10.15495/EPub_UBT_00007159

2022

Books & Monographs    ↑ top

Extended Abstracts presented at the 25th International Symposium on Mathematical Theory of Networks and Systems MTNS 2022 : held 12-16 September 2022 in Bayreuth, Germany. - Michael Heinrich Baumann, Lars Grüne, Birgit Jacob and Karl Worthmann (Hrsg.). - Bayreuth : 2022. - 815 S.
doi:10.15495/EPub_UBT_00006809

Articles in a Journal (reviewed)    ↑ top

Michael Heinrich Baumann: Beating the market? A mathematical puzzle for market efficiency. In: Decisions in Economics and Finance, 45 (2022). - S. 279-325.
doi:10.1007/s10203-021-00361-8

Lars Grüne: Dissipativity and optimal control : Examining the Turnpike Phenomenon. In: IEEE Control Systems Magazine, 42 (2022). - S. 74-87.
doi:10.1109/MCS.2021.3139724

Lars Grüne, Manuel Schaller and Anton Schiela: Efficient Model Predictive Control for parabolic PDEs with goal oriented error estimation. In: SIAM Journal on Scientific Computing, 44 (2022). - S. A471-A500.
doi:10.1137/20M1356324

Lars Grüne and Thomas Meurer: Finite-dimensional output stabilization for a class of linear distributed parameter systems : A small-gain approach. In: Systems & Control Letters, 164 (2022). - .
doi:10.1016/j.sysconle.2022.105237

Michael Heinrich Baumann: An illustrative derivation of the sum of fifth powers. In: The Mathematical Gazette, 106 (2022). - S. 68-77.
doi:10.1017/mag.2022.11

Timm Faulwasser, Lars Grüne, Jukka-Pekka Humaloja and Manuel Schaller: The interval turnpike property for adjoints. In: Pure and Applied Functional Analysis, 7 (2022). - S. 1187-1207.

Lars Grüne, Lisa Krügel and Matthias A. Müller: Multiobjective strict dissipativity via a weighted sum approach. In: Systems & Control Letters, 170 (2022). - .
doi:10.1016/j.sysconle.2022.105396

Robert Baier, Gabriele Eichfelder and Tobias Gerlach: Optimality conditions for set optimization using a directional derivative based on generalized Steiner sets. In: Optimization, 71 (2022). - S. 2273-2314.
doi:10.1080/02331934.2020.1812605

Julian Andrej, Lars Grüne, Luca Mechelli, Thomas Meurer, Simon Pirkelmann and Stefan Volkwein: Parallelized POD-based Suboptimal Economic Model Predictive Control of a State-Constrained Boussinesq approximation. In: Computers & Mathematics with Applications, 116 (2022). - S. 71-81.
doi:10.1016/j.camwa.2021.09.004

Lars Grüne, Friedrich Philipp and Manuel Schaller: Strict dissipativity for generalized linear-quadratic problems in infinite dimensions. In: IFAC-PapersOnLine, 55 (2022). - S. 311-316.
doi:10.1016/j.ifacol.2022.11.071

Michaela Baumann and Michael Heinrich Baumann: Detecting Manipulated Wine Ratings with Autoencoders and Supervised Machine Learning Techniques. In: International Journal on Advances in Internet Technology, 15 (2022). - S. 64-77.

Book Chapters (reviewed)    ↑ top

Michaela Baumann and Michael Heinrich Baumann: Autoencoder vs. Regression Neural Networks for Detecting Manipulated Wine Ratings. In: Juho Mäkiö (Hrsg.): ICCGI 2022, The Seventeenth International Multi-Conference on Computing in the Global Information Technology. - Venice, Italy : IARIA, 2022. - S. 7-13.

Timm Faulwasser and Lars Grüne: Turnpike Properties in Optimal Control : An Overview of Discrete-Time and Continuous-Time Results. In: Emmanuel Trélat, Enrique Zuazua (Hrsg.): Handbook of Numerical Analysis : Numerical Control. Part A. - Amsterdam : North-Holland, 2022. - S. 367-400.
doi:10.1016/bs.hna.2021.12.011

Articles and Book Chapters (non-reviewed)    ↑ top

Bastian Pötzl, Anton Schiela and Patrick Jaap: Second order semi-smooth proximal Newton methods in Hilbert spaces. In: Computational Optimization and Applications, 82 (2022). - S. 465-498.
doi:10.1007/s10589-022-00369-9

Preprints    ↑ top

Armin Nurkanović, Mario Sperl, Sebastian Albrecht and Moritz Diehl: Finite Elements with Switch Detection for Direct Optimal Control of Nonsmooth Systems.. - Freiburg, 2022-05. - 46 S.
doi:10.48550/arXiv.2205.05337

Conference Talks    ↑ top

Michael Heinrich Baumann: On the Risks of Feedback-Trading. - (Vortrag), Veranstaltung: 25th International Symposium on Mathematical Theory of Networks and Systems, 12-16 September 2022, University of Bayreuth.

Michael Heinrich Baumann: On Exchange-Traded Funds, Agent-based Models, and Euler Schemes. - (Vortrag), Veranstaltung: Forschungsseminar VWL, TU Chemnitz.

Michael Heinrich Baumann, Michaela Baumann and Bernhard Herz: Financial Stability and Actively Traded Exchange-Traded Funds. - (Vortrag), Veranstaltung: 26th Annual International Conference on Macroeconomic Analysis and International Finance (ICMAIF), 26-28 May 2022, University of Crete, Rethymno, Greece.

Michael Heinrich Baumann: Feedback Trading in Efficient Markets. - (Vortrag), Veranstaltung: Working Group on Algorithmic Trading, online.

Further Publications    ↑ top

25th International Symposium on Mathematical Theory of Networks and Systems MTNS 2022. - Michael Heinrich Baumann, Lars Grüne, Birgit Jacob and Karl Worthmann (Hrsg.). - IFAC-PapersOnLine, 55 (2022), 30, 516 S.

2021

Books & Monographs    ↑ top

Philipp Braun, Lars Grüne and Christopher M. Kellett: (In-)Stability of Differential Inclusions : Notions, Equivalences, and Lyapunov-like Characterizations. - Cham : Springer, 2021. - IX, 116 S.
doi:10.1007/978-3-030-76317-6

Articles in a Journal (reviewed)    ↑ top

Lars Grüne, Manuel Schaller and Anton Schiela: Abstract nonlinear sensitivity and turnpike analysis and an application to semilinear parabolic PDEs. In: ESAIM : Control, Optimisation and Calculus of Variations, 27 (2021). - .
doi:10.1051/cocv/2021030

Tobias Sproll and Anton Schiela: An adjoint approach to identification in Electromyography : Modeling and first order optimality conditions. In: Inverse Problems, 37 (2021). - .
doi:10.1088/1361-6420/ac362c

Lars Grüne: Computing Lyapunov functions using deep neural networks. In: Journal of Computational Dynamics, 8 (2021). - S. 131-152.
doi:10.3934/jcd.2021006

Lars Grüne, David Muff and Manuel Schaller: Conditions for strict dissipativity of infinite-dimensional generalized linear-quadratic problems. In: IFAC-PapersOnLine, 54 (2021). - S. 302-306.
doi:10.1016/j.ifacol.2021.11.094

Michael Heinrich Baumann and Lars Grüne: Does the effort of Monte Carlo pay off? : A case study on stochastic MPC. In: IFAC-PapersOnLine, 54 (2021). - S. 70-75.
doi:10.1016/j.ifacol.2021.08.526

Lars Grüne and Lisa Krügel: Local turnpike analysis using local dissipativity for discrete time discounted optimal control. In: Applied Mathematics and Optimization, 84 (2021). - S. 1585-1606.
doi:10.1007/s00245-021-09805-4

Markus Hahn, Lars Grüne, Christian Plank, Felix Katzer, Tom Rüther, Leonard Jahn and Michael A. Danzer: Model predictive fast charging control by means of a real-time discrete electrochemical model. In: Journal of Energy Storage, 42 (2021). - .
doi:10.1016/j.est.2021.103056

Michael Heinrich Baumann: A new stochastic Fubini-type theorem : On interchanging expectations and Itô integrals. In: Sankhya A, 83 (2021). - S. 408-420.
doi:10.1007/s13171-019-00195-y

Lars Grüne and Roberto Guglielmi: On the relation between turnpike properties and dissipativity for continuous time linear quadratic optimal control problems. In: Mathematical Control and Related Fields, 11 (2021). - S. 169-188.
doi:10.3934/mcrf.2020032

Wolfgang Riedl, Robert Baier and Matthias Gerdts: Optimization-based subdivision algorithm for reachable sets. In: Journal of Computational Dynamics, 8 (2021). - S. 99-130.
doi:10.3934/jcd.2021005

Lars Grüne: Overcoming the curse of dimensionality for approximating Lyapunov functions with deep neural networks under a small-gain condition. In: IFAC-PapersOnLine, 54 (2021). - S. 317-322.
doi:10.1016/j.ifacol.2021.06.152

Lars Grüne, Luca Mechelli, Simon Pirkelmann and Stefan Volkwein: Performance estimates for economic model predictive control and their application in proper orthogonal decomposition-based implementations. In: Mathematical Control and Related Fields, 11 (2021). - S. 579-599.
doi:10.3934/mcrf.2021013

Lars Grüne, Thomas Kriecherbauer and Michael Margaliot: Random attraction in the TASEP model. In: SIAM Journal on Applied Dynamical Systems, 20 (2021). - S. 65-93.
doi:10.1137/20M131446X

Ruchuan Ou, Michael Heinrich Baumann, Lars Grüne and Timm Faulwasser: A Simulation Study on Turnpikes in Stochastic LQ Optimal Control. In: IFAC-PapersOnLine, 54 (2021). - S. 516-521.
doi:10.1016/j.ifacol.2021.08.294

Parmenas Njoroge, Michael Heinrich Baumann, Michaela Baumann and Dmitry Shevchenko: Stock Price Reactions to Publications of Financial Statements : Evidence from the Moscow Stock Exchange. In: Journal of Corporate Finance Research = Корпоративные Финансы, 15 (2021). - S. 19-36.
doi:10.17323/j.jcfr.2073-0438.15.1.2021.19-36

Arthur Fleig and Lars Grüne: Strict dissipativity analysis for classes of optimal control problems involving probability density functions. In: Mathematical Control and Related Fields, 11 (2021). - S. 935-964.
doi:10.3934/mcrf.2020053

Lars Grüne, Matthias A. Müller, Christopher M. Kellett and Steven R. Weller: Strict dissipativity for discrete time discounted optimal control problems. In: Mathematical Control and Related Fields, 11 (2021). - S. 771-796.
doi:10.3934/mcrf.2020046

Ivan Yegorov, Peter M. Dower and Lars Grüne: Synthesis of control Lyapunov functions and stabilizing feedback strategies using exit‐time optimal control. Part I: Theory. In: Optimal Control Applications and Methods, 42 (2021). - S. 1385-1409.
doi:10.1002/oca.2732

Ivan Yegorov, Peter M. Dower and Lars Grüne: Synthesis of control Lyapunov functions and stabilizing feedback strategies using exit‐time optimal control. Part II: Numerical approach. In: Optimal Control Applications and Methods, 42 (2021). - S. 1410-1440.
doi:10.1002/oca.2733

Conference Proceedings (reviewed)    ↑ top

Chengshuai Wu, Lars Grüne, Thomas Kriecherbauer and Michael Margaliot: Behavior of totally positive differential systems near a periodic solution. In: Proceedings of the 2021 IEEE Conference on Decision and Control (CDC). - Austin, Texas, USA : 2021. - S. 3160-3165.
doi:10.1109/CDC45484.2021.9683061

Timm Faulwasser, Lars Grüne, Jukka-Pekka Humaloja and Manuel Schaller: Inferring the adjoint turnpike property from the primal turnpike property. In: Proceedings of the 2021 IEEE Conference on Decision and Control (CDC). - Austin, Texas, USA : 2021. - S. 2578-2583.
doi:10.1109/CDC45484.2021.9683079

Articles and Book Chapters (non-reviewed)    ↑ top

Lars Grüne and Kirsten Anna Morris: Mini-Workshop : Analysis of Data-driven Optimal Control. In: Oberwolfach Reports, 18 (2021). - S. 1209-1257.
doi:10.4171/OWR/2021/23

PhD Theses    ↑ top

Manuel Schaller:Sensitivity Analysis and Goal Oriented Error Estimation for Model Predictive Control. - Bayreuth: 2021. - IX, 185 S.
(Dissertation, 2021, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)
doi:10.15495/EPub_UBT_00005538

Arthur Fleig:Model Predictive Control for the Fokker--Planck Equation. - Bayreuth: 2021. - VI, 145 S.
(Dissertation, 2021, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)
doi:10.15495/EPub_UBT_00005421

Conference Talks    ↑ top

Michael Heinrich Baumann: On Feedback Trading, Stochastic Differential Equations, and Fubini’s Theorem. - (Vortrag), Veranstaltung: The 2021 INFORMS Annual Meeting, 24.-27. Okt. 2021, Anaheim, California, United States, online.

Michael Heinrich Baumann and Anja Janischewski: What are Asset Price Bubbles? A Survey on Definitions of Financial Bubbles. - (Vortrag), Veranstaltung: AMASES Annual Conference 2021, September 13-18, 2021, Department of Law, Economics and Human Sciences (DIGIES) of the University of Reggio Calabria / online.

Anja Janischewski and Michael Heinrich Baumann: What Are Asset Price Bubbles? A Survey on Definitions of Financial Bubbles. - (Vortrag), Veranstaltung: 33rd Annual EAEPE Conference (EAEPE 2021) - European Association for Evolutionary Political Economy, 02.-04. Sept. 2021, Online.

Anja Janischewski and Michael Heinrich Baumann: What Are Asset Price Bubbles? A Survey on Definitions of Financial Bubbles. - (Vortrag), Veranstaltung: Tinbergen Summer School in Behavioral Macro and Complexity, 23.-27. Aug. 2021, Online.

Michael Heinrich Baumann and Anja Janischewski: What are Asset Price Bubbles? A Survey on Definitions of Financial Bubbles. - (Vortrag), Veranstaltung: 25nd Annual International Conference on Macroeconomic Analysis and International Finance (ICMAIF), 29.-31. Juli 2021, University of Crete, Rethymno, Greece / online.

Michael Heinrich Baumann and Anja Janischewski: Price bubble definitions and strict local martingales. - (Vortrag), Veranstaltung: Maths in the Social Sciences Research Group, 19. März 2021, Online.

2020

Articles in a Journal (reviewed)    ↑ top

Navid Noroozi, Roman Geiselhart, Lars Grüne and Fabian Wirth: Control of discrete-time nonlinear systems via finite-step control Lyapunov functions. In: Systems & Control Letters, 138 (2020). - .
doi:10.1016/j.sysconle.2020.104631

Lars Grüne and Simon Pirkelmann: Economic Model Predictive Control for Time-Varying System : Performance and Stability Results. In: Optimal Control Applications and Methods, 41 (2020). - S. 42-64.
doi:10.1002/oca.2492

Lars Grüne, Manuel Schaller and Anton Schiela: Exponential sensitivity and turnpike analysis for linear quadratic optimal control of general evolution equations. In: Journal of Differential Equations, 268 (2020). - S. 7311-7341.
doi:10.1016/j.jde.2019.11.064

Jean-Michel Coron, Lars Grüne and Karl Worthmann: Model predictive control, cost controllability, and homogeneity. In: SIAM Journal on Control and Optimization, 58 (2020). - S. 2979-2996.
doi:10.1137/19M1265995

Stefan Banholzer, Giulia Fabrini, Lars Grüne and Stefan Volkwein: Multiobjective model predictive control of a parabolic advection-diffusion-reaction equation. In: Mathematics, 8 (2020). - .
doi:10.3390/math8050777

Alfio Borzì and Lars Grüne: Towards a solution of mean-field control problems using model predictive control. In: IFAC-PapersOnLine, 53 (2020). - S. 4973-4978.
doi:10.1016/j.ifacol.2020.12.1086

Philipp Braun, Lars Grüne, Christopher M. Kellett, Steven R. Weller and Karl Worthmann: Towards price-based predictive control of a small scale electricity network. In: International Journal of Control, 93 (2020). - S. 40-61.
doi:10.1080/00207179.2017.1339329

Armin Nurkanović, Amer Mešanović, Mario Sperl, Sebastian Albrecht, Ulrich Münz, Rolf Findeisen and Moritz Diehl: Optimization-based primary and secondary control of microgrids. In: Automatisierungstechnik, 68 (2020). - S. 1044-1058.
doi:10.1515/auto-2020-0088

Ilaria Xausa, Robert Baier, Olivier Bokanowski and Matthias Gerdts: Computation of avoidance regions for driver assistance systems by using a Hamilton-Jacobi approach. In: Optimal Control Applications and Methods, 41 (2020). - S. 668-689.
doi:10.1002/oca.2565

Conference Proceedings (reviewed)    ↑ top

Michael Heinrich Baumann, Michaela Baumann and Bernhard Herz: Are ETFs Bad for Financial Health?. In: Patrycja Chodnicka-Jaworska (Hrsg.): 18th RSEP International Economics, Finance & Business Conference : Conference Proceedings. - Ankara : BC Publishing, 2020. - S. 10-18.

Book Chapters (reviewed)    ↑ top

Lars Grüne and Oliver Junge: From Bellman to Dijkstra : Set oriented construction of globally optimal controllers. In: Oliver Junge, Oliver Schütze, Gary Froyland, Sina Ober-Blöbaum, Kathrin Padberg-Gehle (Hrsg.): Advances in dynamics, optimization and computation : a volume dedicated to Michael Dellnitz on the occasion of his 60th birthday. - Cham : Springer, 2020. - S. 265-294.
doi:10.1007/978-3-030-51264-4_11

Lars Grüne: Numerical methods for nonlinear optimal control problems, 2nd edition. In: Tariq Samad, John Baillieul (Hrsg.): Encyclopedia of Systems and Control. - London : Springer, 2020.
doi:10.1007/978-1-4471-5102-9_208-3

Working Papers    ↑ top

Parmenas Njoroge, Michael Heinrich Baumann, Michaela Baumann and Dmitry Shevchenko: Stock Price Reactions to Publications of Financial Statements : Evidence from the Moscow Stock Exchange. - Bayreuth (Germany); Rostov-on-Don (Russian Federation), 2020. - 22 S.
doi:10.15495/EPub_UBT_00005137

Michael Heinrich Baumann: Das Geld liegt auf der Straße. - Bayreuth, 2020. - 3 S.
doi:10.15495/EPub_UBT_00005138

Preprints    ↑ top

Michael Heinrich Baumann, Michaela Baumann, Lars Grüne and Bernhard Herz: Improving Heterogeneous Agent Models by Avoiding Explicit Discretizations of Stiff Equations.. - Bayreuth, 2020-04-04. - 38 S.
doi:10.15495/EPub_UBT_00004718

Florian Fischer, Arthur Fleig, Markus Klar, Lars Grüne and Jörg Müller: An Optimal Control Model of Mouse Pointing Using the LQR.. - Bayreuth, 2020-02-26. -

Lars Grüne, Manuel Schaller and Anton Schiela: Exponential sensitivity analysis for Model Predictive Control of PDEs.. - Bayreuth, 2020-01. - 4 S.

Lars Grüne: Why does strict dissipativity help in model predictive control?.. - Bayreuth, 2020-01. - 4 S.

PhD Theses    ↑ top

Simon Pirkelmann:Economic Model Predictive Control and Time-Varying Systems. - Bayreuth: 2020. - VII, 146 S.
(Dissertation, 2020, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)
doi:10.15495/EPub_UBT_00004905

Matthias Stöcklein:Optimal Control of Static Contact in Finite Strain Elasticity. - Bayreuth: 2020. - X, 169 S.
(Dissertation, 2020, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)
doi:10.15495/EPub_UBT_00005203

Master Theses    ↑ top

Alexander Siegl: Iterative Löser zur Schrittberechnung in einer Composite-Step Methode. - Bayreuth, 2020. ii, 64 S.
(Masterarbeit, 2020, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Mathematisches Institut)

Conference Talks    ↑ top

Michael Heinrich Baumann, Michaela Baumann, Lars Grüne and Bernhard Herz: Improving Heterogeneous Agent Models by Avoiding Explicit Discretizations of Stiff Equations. - (Vortrag), Veranstaltung: 8th UECE Conference on Economic and Financial Adjustments, 27. November 2020, Online / Lisbon, Portugal.

Michael Heinrich Baumann, Michaela Baumann, Lars Grüne and Bernhard Herz: Improving Heterogeneous Agent Models by Avoiding Explicit Discretizations of Stiff Equations. - (Vortrag), Veranstaltung: FAST (Finance & Stochastic) Research Seminar, University of Sussex, 11. November 2020, Online / Brighton, Sussex, UK.

Michael Heinrich Baumann, Michaela Baumann, Lars Grüne and Bernhard Herz: Improving Heterogeneous Agent Models by Avoiding Explicit Discretizations of Stiff Equations. - (Vortrag), Veranstaltung: GENED Mini Workshop on Agent Based Modelling and New Economic Dynamics, 5. Oktober 2020, Online.

2019

Articles in a Journal (reviewed)    ↑ top

Simon Pirkelmann, David Angeli and Lars Grüne: Approximate computation of storage functions for discrete-time systems using sum-of-squares techniques. In: IFAC-PapersOnLine, 52 (2019). - S. 508-513.
doi:10.1016/j.ifacol.2019.12.012

Robert Baier and Thuy Thi Thien Le: Construction of the Minimum Time Function for Linear Systems Via Higher-Order Set-Valued Methods. In: Mathematical Control and Related Fields, 9 (2019). - S. 223-255.
doi:10.3934/mcrf.2019012

Christopher M. Kellett, Steven R. Weller, Timm Faulwasser, Lars Grüne and Willi Semmler: Feedback, dynamics, and optimal control in climate economics. In: Annual Reviews in Control, 47 (2019). - S. 7-20.
doi:10.1016/j.arcontrol.2019.04.003

Christian A. Hans, Philipp Braun, Jörg Raisch, Lars Grüne and Carsten Reincke-Collon: Hierarchical distributed model predictive control of interconnected microgrids. In: IEEE Transactions on Sustainable Energy, 10 (2019). - S. 407-416.
doi:10.1109/TSTE.2018.2802922

Michael Heinrich Baumann: Die k-dimensionale Champagnerpyramide. In: Mathematische Semesterberichte, 66 (2019). - S. 89-100.
doi:10.1007/s00591-018-00236-x

Michael Heinrich Baumann, Michaela Baumann and Alexander Erler: Limitations of stabilizing effects of fundamentalists : facing positive feedback traders. In: Economics : the Open-Access, Open-Assessment E-Journal, 13 (2019). - .
doi:10.5018/economics-ejournal.ja.2019-44

Lars Grüne and Marleen Stieler: Multiobjective Model Predictive Control for Stabilizing Cost Criteria. In: Discrete and Continuous Dynamical Systems. Series B, 24 (2019). - S. 3905-3928.
doi:10.3934/dcdsb.2018336

Robert Baier, Philipp Braun, Lars Grüne and Christopher M. Kellett: Numerical Calculation of Nonsmooth Control Lyapunov Functions via Piecewise Affine Approximation. In: IFAC-PapersOnLine, 52 (2019). - S. 370-375.
doi:10.1016/j.ifacol.2019.11.808

Lars Grüne and Simon Pirkelmann: Numerical Verification of Turnpike and Continuity Properties for Time-Varying PDEs. In: IFAC-PapersOnLine, 52 (2019). - S. 7-12.
doi:10.1016/j.ifacol.2019.08.002

Arthur Fleig and Lars Grüne: On Dissipativity of the Fokker-Planck Equation for the Ornstein-Uhlenbeck Process. In: IFAC-PapersOnLine, 52 (2019). - S. 13-18.
doi:10.1016/j.ifacol.2019.08.003

Matthias Höger and Lars Grüne: On the relation between detectability and strict dissipativity for nonlinear discrete time systems. In: IEEE Control Systems Letters, 3 (2019). - S. 458-462.
doi:10.1109/LCSYS.2019.2899241

Lars Grüne, Manuel Schaller and Anton Schiela: Sensitivity Analysis of Optimal Control for a Class of Parabolic PDEs Motivated by Model Predictive Control. In: SIAM Journal on Control and Optimization, 57 (2019). - S. 2753-2774.
doi:10.1137/18M1223083

Conference Proceedings (reviewed)    ↑ top

Michael Heinrich Baumann and Lars Grüne: Positive Expected Feedback Trading Gain for all Essentially Linearly Representable Prices. In: 2019 12th Asian Control Conference (ASCC). - Piscataway, NJ : IEEE, 2019. - S. 150-155.

Book Chapters (reviewed)    ↑ top

Aneel Tanwani, Debasish Chatterjee and Lars Grüne: Performance bounds for stochastic receding horizon control with randomly sampled measurements. In: Proceedings of the 2019 IEEE Conference on Decision and Control (CDC). - Nice, France : 2019. - S. 2330-2335.
doi:10.1109/CDC40024.2019.9029947

Philipp Braun, Philipp Sauerteig and Karl Worthmann: Distributed Optimization Based Control on the Example of Microgrids. In: Maude Josée Blondin, Panos M. Pardalos, Javier Sanchis Sáez (Hrsg.): Computational Intelligence and Optimization Methods for Control Engineering. - Cham : Springer, 2019. - S. 173-200.
doi:10.1007/978-3-030-25446-9_8

Working Papers    ↑ top

Michael Heinrich Baumann, Michaela Baumann, Lars Grüne and Bernhard Herz: Analyzing Heterogeneous Agents Models Avoiding the Explicit Discretization of Stiff Equations (Enlarged Abstract). - Bayreuth, 2019. - 8 S.
doi:10.15495/EPub_UBT_00004307

Preprints    ↑ top

Anton Schiela and Matthias Stöcklein: Algorithms for Optimal Control of Elastic Contact Problems with Finite Strain.. - Bayreuth, 2019-09. - 21 S.

Julián Ortiz and Anton Schiela: A composite step method for equality constrained optimization on manifolds.. - Bayreuth, 2019-03-01. - 27 S.

Anton Schiela and Julián Ortiz: Second order directional shape derivatives.. - Bayreuth, 2019-02-25. - 25 S.

Conference Talks    ↑ top

Michael Heinrich Baumann, Michaela Baumann, Lars Grüne and Bernhard Herz: On Modeling Heterogeneous Agents Avoiding Stiff Equations. - (Vortrag), Veranstaltung: 43rd Annual Meeting of the AMASES Association for Mathematics Applied to Social and Economic Sciences, September 9-11, 2019, Perugia, Italy.

Michael Heinrich Baumann, Michaela Baumann, Lars Grüne and Bernhard Herz: Analyzing Heterogeneous Agents Models: Avoiding the Explicit Discretization of Stiff Equations. - (Vortrag), Veranstaltung: Graduiertenseminar der VWL-Lehrstühle der Universität Bayreuth, 11./12.07.2019, Bayreuth.

Michael Heinrich Baumann, Michaela Baumann, Lars Grüne and Bernhard Herz: Analyzing Heterogeneous Agents Models: Avoiding the Explicit Discretization of Stiff Equations. - (Vortrag), Veranstaltung: Second Behavioral Macroeconomics Workshop: Heterogeneity and Expectations in Macroeconomics and Finance, June 13-15, 2019, Otto-Friedrich-Universität Bamberg.

Parmenas Kim Njoroge, Dmitry Shevchenko and Michael Heinrich Baumann: Stock Price Reactions to Publications of Financial Statements : Evidence from the Moscow Stock Exchange. - (Vortrag), Veranstaltung: 5th International Conference on Applied Theory, Macro and Empirical Finance (AMEF 2019), April 22-33, 2019, University of Macedonia, Thessaloniki, Greece.

2018

Books & Monographs    ↑ top

Sascha Kurz, Michael Stoll and Karl Worthmann: Angewandte Mathematik : ein Lehrbuch für Lehramtsstudierende. - Berlin : Springer, 2018. - XVIII + 210 S.
doi:10.1007/978-3-662-56705-0

Numerical Methods for Optimal Control Problems. - Maurizio Falcone, Roberto Ferretti, Lars Grüne and William M. McEneaney (Hrsg.). - Cham : Springer, 2018. - X, 268 S.
doi:10.1007/978-3-030-01959-4

Articles in a Journal (reviewed)    ↑ top

Timm Faulwasser, Lars Grüne and Matthias A. Müller: Economic Nonlinear Model Predictive Control. In: Foundations and Trends® in Systems and Control, 5 (2018). - S. 1-98.
doi:10.1561/2600000014

Michael Margaliot, Lars Grüne and Thomas Kriecherbauer: Entrainment in the Master Equation. In: Royal Society Open Science, 5 (2018). - .
doi:10.1098/rsos.172157

Philipp Braun, Timm Faulwasser, Lars Grüne, Christopher M. Kellett, Steven R. Weller and Karl Worthmann: Hierarchical distributed ADMM for predictive control with applications in power networks. In: IFAC Journal of Systems and Control, 3 (2018). - S. 10-22.
doi:10.1016/j.ifacsc.2018.01.001

Arthur Fleig and Lars Grüne: L²-Tracking of Gaussian Distributions via Model Predictive Control for the Fokker-Planck Equation. In: Vietnam Journal of Mathematics, 46 (2018). - S. 915-948.
doi:10.1007/s10013-018-0309-8

Thomas Deutschen, Sophie Gasser, Manuel Schaller and Jochen Siehr: Modeling the self-discharge by voltage decay of a NMC/graphite lithium-ion cell. In: Journal of Energy Storage, 19 (2018). - S. 113-119.
doi:10.1016/j.est.2018.07.003

Navid Noroozi, Roman Geiselhart, Lars Grüne, Björn Rüffer and Fabian Wirth: Non-conservative discrete-time ISS small-gain conditions for closed sets. In: IEEE Transactions on Automatic Control, 63 (2018). - S. 1231-1242.
doi:10.1109/TAC.2017.2735194

Marleen Stieler, Michael Heinrich Baumann and Lars Grüne: Noncooperative Model Predictive Control for Affine-Quadratic Games. In: Proceedings in Applied Mathematics and Mechanics, 18 (2018). - .
doi:10.1002/pamm.201800036

Tobias Sproll, Anton Schiela and Madeleine Lowery: Numerical Identification of Motor Units using an Optimal Control Approach. In: IFAC-PapersOnLine, 51 (2018). - S. 174-179.
doi:10.1016/j.ifacol.2018.03.030

Vladimir Gaitsgory, Lars Grüne, Matthias Höger, Christopher M. Kellett and Steven R. Weller: Stabilization of strictly dissipative discrete time systems with discounted optimal control. In: Automatica, 93 (2018). - S. 311-320.
doi:10.1016/j.automatica.2018.03.076

Lars Grüne and Roberto Guglielmi: Turnpike properties and strict dissipativity for discrete time linear quadratic optimal control problems. In: SIAM Journal on Control and Optimization, 56 (2018). - S. 1282-1302.
doi:10.1137/17M112350X

Philipp Braun and Lars Grüne: Verteilte Optimierung : Anwendungen in der Modellprädiktiven Regelung. In: Automatisierungstechnik, 66 (2018). - S. 939-949.
doi:10.1515/auto-2018-0009

Conference Proceedings (reviewed)    ↑ top

Ivan Yegorov, Peter Dower and Lars Grüne: A characteristics based curse-of-dimensionality-free approach for approximating control Lyapunov functions and feedback stabilization. In: Proceedings of the 23rd International Symposium on Mathematical Theory of Networks and Systems. - Hong Kong : 2018. - S. 342-349.

Robert Baier, Philipp Braun, Lars Grüne and Christopher M. Kellett: Numerical construction of nonsmooth control Lyapunov functions. In: Pontus Giselsson, Anders Rantzer (Hrsg.): Large-Scale and Distributed Optimization. - Cham : Springer, 2018. - S. 343-373.
doi:10.1007/978-3-319-97478-1_12

Book Chapters (reviewed)    ↑ top

Philipp Braun, Lars Grüne and Christopher M. Kellett: Complete Instability of Differential Inclusions using Lyapunov Methods. In: 2018 IEEE Conference on Decision and Control (CDC). Tagungsband. - Miami Beach, Florida : 2018. - S. 718-724.
doi:10.1109/CDC.2018.8618663

Robert Baier and Elza Farkhi: Discrete Filippov-type stability for one-sided Lipschitzian difference inclusions. In: Gustav Feichtinger, Raimund M. Kovacevic, Gernot Tragler (Hrsg.): Control Systems and Mathematical Methods in Economics : Essays in Honor of Vladimir M. Veliov. - Cham : Springer, 2018. - S. 27-55.
doi:10.1007/978-3-319-75169-6_3

Lars Grüne: Dynamic programming, optimal control and model predictive control. In: Saša V. Raković, William S. Levine (Hrsg.): Handbook of Model Predictive Control. - Basel : Birkhäuser, 2018. - S. 29-52.
doi:10.1007/978-3-319-77489-3_2

Lars Grüne, Simon Pirkelmann and Marleen Stieler: Strict dissipativity implies turnpike behavior for time-varying discrete time optimal control problems. In: Gustav Feichtinger, Raimund M. Kovacevic, Gernot Tragler (Hrsg.): Control Systems and Mathematical Methods in Economics: Essays in Honor of Vladimir M. Veliov. - Cham : Springer, 2018. - S. 195-218.
doi:10.1007/978-3-319-75169-6_10

Articles and Book Chapters (non-reviewed)    ↑ top

Lars Grüne and Peter Dower: Hamiltonian based a posteriori error estimation for Hamilton-Jacobi-Bellman equations. In: Proceedings of the 23rd International Symposium on Mathematical Theory of Networks and Systems. - Hong Kong : 2018. - S. 372-374.

Lars Grüne, Manuel Schaller and Anton Schiela: Sensitivity analysis of optimal control motivated by model predictive control. In: Proceedings of the 23rd International Symposium on Mathematical Theory of Networks and Systems. - Hong Kong : 2018. - S. 93-96.

Preprints    ↑ top

Manuel Schaller, Anton Schiela and Matthias Stöcklein: A Composite Step Method with Inexact Step Computations for PDE Constrained Optimization.. - Bayreuth, 2018-10. - 29 S.

Anton Schiela and Matthias Stöcklein: Optimal Control of Static Contact in Finite Strain Elasticity.. - Bayreuth, 2018-10. - 28 S.

Philipp Braun, Philipp Sauerteig and Karl Worthmann: Distributed optimization based control on the example of microgrids.. - Newcastle, Australia ; Ilmenau, Germany, 2018. - 28 S.

Philipp Braun, Christopher M. Kellett and Luca Zaccarian: Unsafe Point Avoidance in Linear State Feedback.. - Newcastle, Australia, 2018. - 8 S.

PhD Theses    ↑ top

Michael Heinrich Baumann:Performance and Effects of Linear Feedback Stock Trading Strategies. - Bayreuth: 2018. - 160 S.
(Dissertation, 2018, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Marleen Stieler:Performance Estimates for Scalar and Multiobjective Model Predictive Control Schemes. - Bayreuth: 2018. - X, 119 S.
(Dissertation, 2018, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Conference Talks    ↑ top

Michael Heinrich Baumann: Beating the Market? : A Mathematical Puzzle to Market Efficiency. - (Vortrag), Veranstaltung: Forschungsseminar am Lehrstuhl für Finanzierung und Banken der Martin-Luther-Universität Halle-Wittenberg, 6. November 2018, Halle, Deutschland.

Michael Heinrich Baumann, Michaela Baumann and Bernhard Herz: Exchange-traded Funds, Investment Strategies, and Financial Stability. - (Vortrag), Veranstaltung: Forschungsseminar am Lehrstuhl Finanzierung und Banken der Martin-Luther-Universität Halle-Wittenberg, 6. November 2018, Halle, Deutschland.

Michael Heinrich Baumann and Marleen Stieler: Noncooperative Model Predictive Control. - (Vortrag), Veranstaltung: International Conference on Optimization and Decision Science ODS 2018 : XLVIII Annual Meeting of AIRO-Italian Operations Research Society, 10.-13. September 2018, Taormina, Italien.

Michael Heinrich Baumann, Michaela Baumann and Bernhard Herz: Exchange-traded Funds, Investment Strategies, and Financial Stability. - (Vortrag), Veranstaltung: Digitale Wirtschaft : Jahrestagung 2018 des Vereins für Socialpolitik, 02.-05. September 2018, Freiburg im Breisgau.

Michael Heinrich Baumann and Marleen Stieler: Noncooperative Model Predictive Control. - (Vortrag), Veranstaltung: 18th International Symposium on Dynamic Games and Applications, 9.-12. Juli 2018, Grenoble, France.

Michael Heinrich Baumann: Beating the Market? : A Mathematical Puzzle to Market Efficiency. - (Vortrag), Veranstaltung: 6th International PhD Meeting in Economics 2018, 5.-6. Juli 2018, University of Macedonia, Thessaloniki, Greece.

Michael Heinrich Baumann: Beating the Market? : A Mathematical Puzzle to Market Efficiency. - (Vortrag), Veranstaltung: Seventeenth Annual European Economics and Finance Society Conference (EEFS2018), 21.-24. Juni 2018, Department of Economics, City, University of London, London, England.

Michael Heinrich Baumann, Michaela Baumann and Bernhard Herz: Exchange-traded Funds, Investment Strategies, and Financial Stability. - (Vortrag), Veranstaltung: First Behavioral Macroeconomics Workshop: New Approaches to Macro-Financial Instability and Inequality, 15.-16. Juni 2018, Otto-Friedrich-Universität Bamberg, Germany.

Michael Heinrich Baumann, Michaela Baumann and Bernhard Herz: Exchange-traded Funds, Investment Strategies, and Financial Stability. - (Vortrag), Veranstaltung: Seventeenth Annual European Economics and Finance Society Conference (EEFS2018), 21.-24. Juni 2018, Department of Economics, City, University of London, London, England.

Michael Heinrich Baumann: Beating the Market? : A Mathematical Puzzle to Market Efficiency. - (Vortrag), Veranstaltung: 22nd Annual International Conference on Macroeconomic Analysis and International Finance, 24.-26. Mai 2018, University of Crete, Rethymno, Greece.

Michael Heinrich Baumann: Basics of Modern Stochastic Finance. - (Vortrag), Veranstaltung: Seminar bei Dmitry Shevchenko, April 2018, Südliche Föderale Universität, Rostow am Don, Russische Föderation.

Michael Heinrich Baumann: Beating the Market? : A Mathematical Puzzle to Market Efficiency. - (Vortrag), Veranstaltung: Seminar bei Dmitry Shevchenko, April 2018, Südliche Föderale Universität, Rostow am Don, Russische Föderation.

Michael Heinrich Baumann, Michaela Baumann and Bernhard Herz: Exchange-traded Funds, Investment Strategies, and Financial Stability. - (Vortrag), Veranstaltung: Seminar bei Dmitry Shevchenko, April 2018, Südliche Föderale Universität, Rostow am Don, Russische Föderation.

Marleen Stieler, Michael Heinrich Baumann and Lars Grüne: Noncooperative Model Predictive Control. - (Vortrag), Veranstaltung: 89th GAMM Annual Meeting 2018, 19. - 23. März 2018, München.

Michael Heinrich Baumann: Beating the Market? : A Mathematical Puzzle to Market Efficiency. - (Vortrag), Veranstaltung: XIX Workshop on Quantitative Finance – QFW2018, 24.-26.01.2018, University of Roma Tre.

Marleen Stieler, Michael Heinrich Baumann and Lars Grüne: Nichtkooperative linear-quadratische Spiele, ihre Beziehung zu Riccati-artigen Gleichungen und ein Lösungsansatz mittels Modellprädiktiver Regelung. - (Vortrag), Veranstaltung: Forschungszentrum Modellierung und Simulation (MODUS), 24.01.2018, Bayreuth.

Michael Heinrich Baumann: Beating the Market? : A Mathematical Puzzle to Market Efficiency. - (Vortrag), Veranstaltung: Graduiertenseminar der VWL-Lehrstühle der Universität Bayreuth, 11.-13.01.2018, Franken-Akademie Schloß Schney, Lichtenfels.

Conference Poster    ↑ top

Michael Heinrich Baumann, Michaela Baumann and Bernhard Herz: Exchange-traded Funds, Investment Strategies, and Financial Stability. - (Poster), Veranstaltung: The 50th Annual Conference of the Money, Macro & Finance Research Group (MMF), 05.-07. September 2018, Edinburgh, Scotland, UK.

2017

Books & Monographs    ↑ top

Lars Grüne and Jürgen Pannek: Nonlinear Model Predictive Control : Theory and Algorithms. 2nd Edition. - Cham : Springer, 2017. - 456 S.
doi:10.1007/978-3-319-46024-6

Articles in a Journal (reviewed)    ↑ top

Lars Grüne and Thuy Thi Thien Le: A double-sided Dynamic Programming approach to the minimum time problem and its numerical approximation. In: Applied Numerical Mathematics, 121 (2017). - S. 68-81.
doi:10.1016/j.apnum.2017.06.008

Wolfgang Achtziger, Robert Baier, Elza Farkhi and Vera Roshchina: Exact Penalty and Lagrange Duality via the Directed Subdifferential. In: Pure and Applied Functional Analysis, 2 (2017). - S. 183-220.

Meir Botner, Yoram Zarai, Michael Margaliot and Lars Grüne: On approximating contractive systems. In: IEEE Transactions on Automatic Control, 62 (2017). - S. 6451-6457.
doi:10.1109/TAC.2017.2651649

Michael Heinrich Baumann: On Stock Trading Via Feedback Control When Underlying Stock Returns Are Discontinuous. In: IEEE Transactions on Automatic Control, 62 (2017). - S. 2987-2992.
doi:10.1109/TAC.2016.2605743

Lars Grüne, Christopher M. Kellett and Steven R. Weller: On the relation between turnpike properties for finite and infinite horizon optimal control problems. In: Journal of Optimization Theory and Applications, 173 (2017). - S. 727-745.
doi:10.1007/s10957-017-1103-6

Christian Clason and Anton Schiela: Optimal control of elliptic equations with positive measures. In: ESAIM : Control, Optimisation and Calculus of Variations, 23 (2017). - S. 217-240.
doi:10.1051/cocv/2015046

Arthur Fleig and Roberto Guglielmi: Optimal Control of the Fokker-Planck Equation with Space-Dependent Controls. In: Journal of Optimization Theory and Applications, 174 (2017). - S. 408-427.
doi:10.1007/s10957-017-1120-5

Mario Zanon, Lars Grüne and Moritz Diehl: Periodic optimal control, dissipativity and MPC. In: IEEE Transactions on Automatic Control, 62 (2017). - S. 2943-2949.
doi:10.1109/TAC.2016.2601881

Michaela Baumann, Michael Heinrich Baumann, Stefan Schönig and Stefan Jablonski: The Process Checklist : Paper-based Enactment of Human-driven Processes. In: Enterprise Modelling and Information Systems Architectures, 12 (2017). - S. 1-42.
doi:10.18417/emisa.12.1

Michael Heinrich Baumann and Lars Grüne: Simultaneously long short trading in discrete and continuous time. In: Systems & Control Letters, 99 (2017). - S. 85-89.
doi:10.1016/j.sysconle.2016.11.011

Conference Proceedings (reviewed)    ↑ top

Marcel Bankau, Michaela Baumann, Michael Heinrich Baumann, Stefan Schönig and Stefan Jablonski: The Process Checklist Generator : Establishing Paper-based Process Support. In: Robert Clarisó, Henrik Leopold, Jan Mendling, Wil van der Aalst, Akhil Kumar, Brian T. Pentland, Mathias Weske (Hrsg.): Proceedings of the BPM Demo Track and BPM Dissertation Award co-located with 15th International Conference on Business Process Modeling (BPM 2017). - Barcelona : 2017.

Book Chapters (reviewed)    ↑ top

Lars Grüne and Marleen Stieler: Performance Guarantees for Multiobjective Model Predictive Control. In: Proceedings of the 2017 IEEE 56th Annual Conference on Decision and Control (CDC). - Melbourne, Australia : 2017. - S. 5545-5550.
doi:10.1109/CDC.2017.8264482

Lars Grüne and Simon Pirkelmann: Closed-loop performance analysis for economic model predictive control of time-varying systems. In: Proceedings of the 56th IEEE Annual Conference on Decision and Control (CDC 2017), Melbourne, Australia. - Melbourne : 2017. - S. 5563-5569.
doi:10.1109/CDC.2017.8264485

Mario Zanon, Andrea Boccia, Vryan Gil Palma, Sonja Parenti and Ilaria Xausa: Direct Optimal Control and Model Predictive Control. In: Daniela Tonon, Maria Soledad Aronna, Dante Kalise (Hrsg.): Optimal Control : Novel Directions and Applications. - Cham : Springer, 2017. - S. 263-382.
doi:10.1007/978-3-319-60771-9_3

Philipp Braun, Lars Grüne and Christopher M. Kellett: Feedback Design Using Nonsmooth Control Lyapunov Functions: A Numerical Case Study for the Nonholonomic Integrator. In: Proceedings of the 56th IEEE Annual Conference on Decision and Control (CDC 2017), Melbourne, Australia. - Melbourne : 2017. - S. 4890-4895.
doi:10.1109/CDC.2017.8264382

Matthias A. Müller and Lars Grüne: On the relation between dissipativity and discounted dissipativity. In: Proceedings of the 56th IEEE Annual Conference on Decision and Control (CDC 2017), Melbourne, Australia. - Melbourne : 2017. - S. 5570-5575.
doi:10.1109/CDC.2017.8264486

Preprints    ↑ top

Wolfgang Riedl, Robert Baier and Matthias Gerdts: Analytical and numerical estimates of reachable sets in a subdivision scheme.. - Bayreuth ; Neubiberg/München, 2017-05-03. - 15 S.
doi:10.15495/EPub_UBT_00005055

Constantin Christof and Georg Müller: A Note on the Equivalence and the Boundary Behavior of a Class of Sobolev Capacities.. - Bayreuth, 2017-01. - 27 S.

Philipp Braun and Christopher M. Kellett: On (the existence of) Control Lyapunov Barrier Functions.. - Newcastle, Australia, 2017. - 19 S.

Conference Talks    ↑ top

Michael Heinrich Baumann, Michaela Baumann and Bernhard Herz: Exchange-traded Funds and Financial Stability. - (Vortrag), Veranstaltung: International Rome Conference on Money, Banking and Finance (MBF), 14-15-16 December 2017, LUMSA University Palermo, Italy.

Michael Heinrich Baumann, Michaela Baumann and Bernhard Herz: Exchange-traded Funds and Financial Stability. - (Vortrag), Veranstaltung: German Network for New Economic Dynamics (GENED), 4.-6. Oktober 2017, KIT, Karlsruhe.

Michael Heinrich Baumann, Michaela Baumann and Alexander Erler: Limitations of stabilizing effects of fundamentalists facing positive feedback traders. - (Vortrag), Veranstaltung: The 49th Money, Macro and Finance Research Group Annual Conference, 05.-07.09.2017, King's College, Strand, London, UK.

Michael Heinrich Baumann, Michaela Baumann and Bernhard Herz: Exchange-traded Funds and Financial Stability. - (Vortrag), Veranstaltung: Summer School in Economics and Finance SSEF Canazei 2017, July 17-21, 2017, Alba di Canazei, Trento, Italy.

Michael Heinrich Baumann, Michaela Baumann and Bernhard Herz: Exchange-traded Funds and Financial Stability. - (Vortrag), Veranstaltung: Graduiertenseminar der VWL-Lehrstühle der Universität Bayreuth, 13.-14. Juli 2017, Bayreuth.

Michael Heinrich Baumann, Lars Grüne and Bernhard Herz: Effects of Control-based Trading : Between the Poles of Economics&Finance and Mathematics&Engineering. - (Vortrag), Veranstaltung: Interdisciplinary Symposium - Track "interdisciplinarity in economics", July 5-7, 2017, Corté, Università di Corsica, France.

Michael Heinrich Baumann, Michaela Baumann and Bernhard Herz: Exchange-traded Funds and Financial Stability. - (Vortrag), Veranstaltung: The Sixteenth Annual European Economics and Finance Society Conference 2017, 22.06.2017-25.06.2017, University of Ljubljana, Ljubljana, Slovenia.

Michael Heinrich Baumann, Michaela Baumann and Alexander Erler: Limitations of Stabilizing Effects of Fundamentalists Facing Positive Feedback Traders. - (Vortrag), Veranstaltung: The Sixteenth Annual European Economics and Finance Society Conference 2017, 22.06.2017-25.06.2017, University of Ljubljana, Ljubljana, Slovenia.

Michael Heinrich Baumann, Michaela Baumann and Bernhard Herz: Exchange-traded Funds and Financial Stability. - (Vortrag), Veranstaltung: 21st Annual International Conference on Macroeconomic Analysis and International Finance (ICMAIF) 2017, 25.-27.05.2017, Rethymno, Crete, Greece.

Michael Heinrich Baumann, Michaela Baumann and Alexander Erler: Limitations of stabilizing effects of fundamentalists facing positive feedback traders. - (Vortrag), Veranstaltung: XVIII Workshop on Quantitative Finance, 25.-27. Januar 2017, Mailand, Italien.

Further Publications    ↑ top

Michael Heinrich Baumann and Lars Grüne: Simultaneously long short trading in discrete and continuous time - AudioSlides, 2017

2016

Books & Monographs    ↑ top

Lars Grüne and Oliver Junge: Gewöhnliche Differentialgleichungen : eine Einführung aus der Perspektive der dynamischen Systeme. 2. Auflage. - Heidelberg : Springer, 2016. - 249 S.
doi:10.1007/978-3-658-10241-8

Articles in a Journal (reviewed)    ↑ top

Lars Grüne: Approximation properties of receding horizon optimal control. In: Jahresbericht der Deutschen Mathematiker-Vereinigung, 118 (2016). - S. 3-37.
doi:10.1365/s13291-016-0134-5

Arthur Fleig and Roberto Guglielmi: Bilinear Optimal Control of the Fokker-Planck Equation. In: IFAC-PapersOnLine, 49 (2016). - S. 254-259.
doi:10.1016/j.ifacol.2016.07.450

Huijuan Li and Lars Grüne: Computation of Local ISS Lyapunov Functions for Discrete-time Systems Via Linear Programming. In: Journal of Mathematical Analysis and Applications, 438 (2016). - S. 701-719.
doi:10.1016/j.jmaa.2016.01.045

Philipp Braun, Lars Grüne, Christopher M. Kellett, Steven R. Weller and Karl Worthmann: A distributed optimization algorithm for the predictive control of smart grids. In: IEEE Transactions on Automatic Control, 61 (2016). - S. 3898-3911.
doi:10.1109/TAC.2016.2525808

Matthias A. Müller and Lars Grüne: Economic model predictive control without terminal constraints for optimal periodic behavior. In: Automatica, 70 (2016). - S. 128-139.
doi:10.1016/j.automatica.2016.03.024

Arthur Fleig and Lars Grüne: Estimates on the Minimal Stabilizing Horizon Length in Model Predictive Control for the Fokker-Planck Equation. In: IFAC-PapersOnLine, 49 (2016). - S. 260-265.
doi:10.1016/j.ifacol.2016.07.451

Robert Baier, Elza Farkhi and Vera Roshchina: From Quasidifferentiable to Directed Subdifferentiable Functions : Exact Calculus Rules. In: Journal of Optimization Theory and Applications, 171 (2016). - S. 384-401.
doi:10.1007/s10957-016-0926-x

Lars Grüne, Christopher M. Kellett and Steven R. Weller: On a discounted notion of strict dissipativity. In: IFAC-PapersOnLine, 49 (2016). - S. 247-252.
doi:10.1016/j.ifacol.2016.10.171

Karl Worthmann, Philipp Braun, Michael Proch, Jörg Schlüchtermann and Jürgen Pannek: On Contractual Periods in Supplier Development. In: IFAC-PapersOnLine, 49 (2016). - S. 60-65.
doi:10.1016/j.ifacol.2016.03.011

Lars Grüne and Matthias A. Müller: On the relation between strict dissipativity and turnpike properties. In: Systems & Control Letters, 90 (2016). - S. 45-53.
doi:10.1016/j.sysconle.2016.01.003

Philipp Braun, Erwin Hernández and Dante Kalise: Reduced-order LQG control of a Timoshenko beam model. In: Bulletin of the Brazilian Mathematical Society : New Series, 47 (2016). - S. 143-155.
doi:10.1007/s00574-016-0128-z

Karl Worthmann, Michael Proch, Philipp Braun, Jörg Schlüchtermann and Jürgen Pannek: Towards Dynamic Contract Extension in Supplier Development. In: Logistics Research, 9 (2016). - S. 1-12.
doi:10.1007/s12159-016-0141-z

Book Chapters (reviewed)    ↑ top

Michaela Baumann, Michael Heinrich Baumann, Lars Ackermann, Stefan Schönig and Stefan Jablonski: Ansätze zum Ähnlichkeitsabgleich von deklarativen Geschäftsprozessmodellen. In: Heinrich C. Mayr, Martin Pinzger (Hrsg.): INFORMATIK 2016. - Bonn : Köllen, 2016. - S. 733-738.

Philipp Braun, Timm Faulwasser, Lars Grüne, Christopher M. Kellett, Steven R. Weller and Karl Worthmann: Maximal Islanding Time For Microgrids via Distributed Predictive Control. In: 22nd International Symposium on Mathematical Theory of Networks and Systems : July 12-15, 2016 (MTNS 2016, Proceedings). - Minneapolis, Minnesota : 2016. - S. 652-659.

Arthur Fleig and Lars Grüne: Model Predictive Control for the Fokker-Planck equation : analysis and structural insight. In: 22nd International Symposium on Mathematical Theory of Networks and Systems : July 12-15, 2016 (MTNS 2016, Proceedings). - Minneapolis, Minnesota : 2016. - S. 689-690.

Philipp Braun, Lars Grüne, Christopher M. Kellett, Steven R. Weller and Karl Worthmann: Model predictive control of residential energy systems using energy storage and controllable loads. In: Giovanni Russo, Vincenzo Capasso, Giuseppe Nicosia, Vittorio Romano (Hrsg.): Progress in Industrial Mathematics at ECMI 2014. - Heidelberg : Springer, 2016. - S. 617-623.
doi:10.1007/978-3-319-23413-7_85

Michaela Baumann, Michael Heinrich Baumann and Stefan Jablonski: On Behavioral Process Model Similarity Matching : A centroid-based approach (Enlarged Abstract of [BBJ15]). In: Heinrich C. Mayr, Martin Pinzger (Hrsg.): INFORMATIK 2016. - Bonn : Köllen, 2016. - S. 731-732.

Preprints    ↑ top

Georg Müller and Anton Schiela: On the Control of Time Discretized Dynamical Contact Problems.. - Bayreuth, 2016. - 35 S.

PhD Theses    ↑ top

Philipp Braun:Hierarchical distributed optimization and predictive control of a smart grid. - Bayreuth: 2016. - ix+162 S.
(Dissertation, 2016, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Manuela Sigurani:Numerical ISpS controller design on coarse quantizations : A dynamic game approach for large-scale systems.. - Bayreuth: 2016. - ii+166 S.
(Dissertation, 2016, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Master Theses    ↑ top

Matthias Stöcklein: Optimal Control of Static Contact Problems in Linear Elasticity. - Bayreuth, Germany, 2016. 96 S.
(Masterarbeit, 2016, Universität Bayreuth, Department of Mathematics, Faculty of Mathematics, Physics and Computer Science)

Conference Talks    ↑ top

Michael Heinrich Baumann: Regelungsbasierte Handelsstrategien auf verrauschten Märkten. - (Vortrag), Veranstaltung: Forschungszentrum für die Modellierung und Simulation (MODUS), 30. Mai 2016, Bayreuth.

Michael Heinrich Baumann and Lars Grüne: Positive Expected Feedback Trading Gain for all Essentially Linearly Representable Prices. - (Vortrag), Veranstaltung: The XVII Workshop on Quantitative Finance - Pisa 2016, 28.-29.01.2016, Pisa.

2015

Articles in a Journal (reviewed)    ↑ top

Huijuan Li, Sigurdur Freyr Hafstein and Christopher M. Kellett: Computation of continuous and piecewise affine Lyapunov functions for discrete-time systems. In: Journal of Difference Equations and Applications, 21 (2015). - S. 486-511.
doi:10.1080/10236198.2015.1025069

Huijuan Li, Robert Baier, Lars Grüne, Sigurdur Freyr Hafstein and Fabian Wirth: Computation of local ISS Lyapunov functions with low gains via linear programming. In: Discrete and Continuous Dynamical Systems. Series B, 20 (2015). - S. 2477-2495.
doi:10.3934/dcdsb.2015.20.2477

Sigurdur Freyr Hafstein, Christopher M. Kellett and Huijuan Li: Computing continuous and piecewise affine Lyapunov functions for nonlinear systems. In: Journal of Computational Dynamics, 2 (2015). - S. 227-246.
doi:10.3934/jcd.2015004

Karl Worthmann, Christopher M. Kellett, Philipp Braun, Lars Grüne and Steven R. Weller: Distributed and decentralized control of residential energy systems incorporating battery storage. In: IEEE Transactions on Smart Grid, 6 (2015). - S. 1914-1923.
doi:10.1109/TSG.2015.2392081

Manuela Sigurani, Christian Stöcker, Lars Grüne and Jan Lunze: Experimental evaluation of two complementary decentralized event-based control methods. In: Control Engineering Practice, 35 (2015). - S. 22-34.
doi:10.1016/j.conengprac.2014.10.002

Lars Grüne and Manuela Sigurani: Numerical event-based ISS controller design via a dynamic game approach. In: Journal of Computational Dynamics, 2 (2015). - S. 65-81.
doi:10.3934/jcd.2015.2.65

Matthias A. Müller, Lars Grüne and Frank Allgöwer: On the role of dissipativity in economic model predictive control. In: IFAC-PapersOnLine, 48 (2015). - S. 110-116.
doi:10.1016/j.ifacol.2015.11.269

Lars Grüne and Vryan Gil Palma: Robustness of performance and stability for multistep and updated multistep MPC schemes. In: Discrete and Continuous Dynamical Systems, 35 (2015). - S. 4385-4414.
doi:10.3934/dcds.2015.35.4385

Vryan Gil Palma, Andrea Suardi and Eric C. Kerrigan: Sensitivity-based multistep MPC for embedded systems. In: IFAC-PapersOnLine, 48 (2015). - S. 360-365.
doi:10.1016/j.ifacol.2015.11.306

Vladimir Gaitsgory, Lars Grüne and Neil Thatcher: Stabilization with discounted optimal control. In: Systems & Control Letters, 82 (2015). - S. 91-98.
doi:10.1016/j.sysconle.2015.05.010

Lars Grüne, Willi Semmler and Marleen Stieler: Using nonlinear model predictive control for dynamic decision problems in economics. In: Journal of Economic Dynamics and Control, 60 (2015). - S. 112-133.
doi:10.1016/j.jedc.2015.08.010

Olivier Bokanowski, Maurizio Falcone, Roberto Ferretti, Lars Grüne, Dante Kalise and Hasnaa Zidani: Value iteration convergence of ε-monotone schemes for stationary Hamilton-Jacobi equations. In: Discrete and Continuous Dynamical Systems, 35 (2015). - S. 4041-4070.
doi:10.3934/dcds.2015.35.4041

Lars Grüne and Hasnaa Zidani: Zubov's equation for state-constrained perturbed nonlinear systems. In: Mathematical Control and Related Fields, 5 (2015). - S. 55-71.
doi:10.3934/mcrf.2015.5.55

Lars Grüne and Athena Picarelli: Zubov's method for controlled diffusions with state constraints. In: Nonlinear Differential Equations and Applications NoDEA, 22 (2015). - S. 1765-1799.
doi:10.1007/s00030-015-0343-0

Conference Proceedings (reviewed)    ↑ top

Philipp Braun, Lars Grüne, Christopher M. Kellett, Steven R. Weller and Karl Worthmann: A real-time pricing scheme for residential energy systems using a market maker. In: Proceedings of 2015 Australian Control Conference (AUCC). - Barton, Australia : 2015. - S. 259-262.

Michael Heinrich Baumann: Effects of Linear Feedback Trading in an Interactive Market Model. In: American Control Conference (ACC), 2015. - Chicago : IEEE, 2015. - S. 3880-3885.
doi:10.1109/ACC.2015.7171935

Matthias A. Müller and Lars Grüne: Economic model predictive control without terminal constraints : optimal periodic operation. In: Proceedings of the 54th IEEE Conference on Decision and Control. - Piscataway, NJ : IEEE, 2015. - S. 4946-4951.
doi:10.1109/CDC.2015.7402992

Lars Grüne and Anastasia Panin: On non-averaged performance of economic MPC with terminal conditions. In: Proceedings of the 54th IEEE Conference on Decision and Control (CDC 2015). - Piscataway, NJ : IEEE, 2015. - S. 4332-4337.
doi:10.1109/CDC.2015.7402895

Philipp Braun, Lars Grüne, Christopher M. Kellett, Steven R. Weller and Karl Worthmann: Predictive control of a smart grid : a distributed optimization algorithm with centralized performance properties. In: Proceedings of the 54th IEEE Conference on Decision and Control (CDC 2015). - Piscataway, NJ : IEEE, 2015. - S. 5593-5598.
doi:10.1109/CDC.2015.7403096

Karl Worthmann, Marcus Reble, Lars Grüne and Frank Allgöwer: Unconstrained nonlinear MPC : performance estimates for sampled-data systems with zero order hold. In: Proceedingss of the 54th IEEE Conference on Decision and Control (CDC 2015). - Piscataway, NJ : IEEE, 2015. - S. 4971-4976.
doi:10.1109/CDC.2015.7402996

Book Chapters (reviewed)    ↑ top

Michaela Baumann, Michael Heinrich Baumann, Stefan Schönig and Stefan Jablonski: Resource-Aware Process Model Similarity Matching. In: Farouk Toumani (Hrsg.): Service-Oriented Computing - ICSOC 2014 Workshops. - Cham : Springer, 2015. - S. 96-107.
doi:10.1007/978-3-319-22885-3_9

Articles and Book Chapters (non-reviewed)    ↑ top

Lars Grüne: Open problem : Strict Dissipativity and the Turnpike Property. In: Oberwolfach Reports, 12 (2015). - S. 651-652.
doi:10.4171/OWR/2015/12

Preprints    ↑ top

Robert Baier and Thuy Thi Thien Le: Construction of the Minimum Time Function Via Reachable Sets of Linear Control Systems. Part 1: Error Estimates.. - Bayreuth ; Padova, 2015-12. - 30 S.

Robert Baier and Thuy Thi Thien Le: Construction of the Minimum Time Function Via Reachable Sets of Linear Control Systems. Part 2: Numerical Computations.. - Bayreuth ; Padova, 2015-12. - 16 S.

Lars Lubkoll, Anton Schiela and Martin Weiser: An affine covariant composite step method for optimization with PDEs as equality constraints.. - Berlin, 2015-03-12. - 40 S.

PhD Theses    ↑ top

Thomas U. Jahn:A Feasibility Problem Approach For Reachable Set Approximation. - Bayreuth: 2015. - III, 134 S.
(Dissertation, 2015, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Ilaria Xausa:Verification of Collision Avoidance Systems using Optimal Control and Sensitivity Analysis. - Neubiberg: Universitätsbibliothek der Universität der Bundeswehr München, 2015. - viii+216 S.
(Dissertation, 2015, Universität der Bundeswehr München, Fakultät für Luft- und Raumfahrttechnik)

Vryan Gil Palma:Robust Updated MPC Schemes. - Bayreuth: 2015. - IX, 119 S.
(Dissertation, 2015, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Huijuan Li:Computation of Lyapunov functions and stability of interconnected systems. - Bayreuth: 2015. - 130 S.
(Dissertation, 2015, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Conference Talks    ↑ top

Michael Heinrich Baumann: Regelungsbasierte Handelsstrategien auf verrauschten Märkten. - (Vortrag), Veranstaltung: Hanns Seidel Stiftung - Selbstgestaltete Tagung für Promovenden, 11.-13.11.2015, Bildungszentrum Kloster Banz.

Michael Heinrich Baumann: Simultaneously Long Short Trading Strategies When Price is Governed by Merton's Jump Diffusion Process. - (Vortrag), Veranstaltung: Prof. B. Ross Barmish's Skype Seminar, 15.09.2015, Via Skype among others in Bayreuth, Germany, and Madison, WI, USA.

Michael Heinrich Baumann: Portfolioverluste bei plötzlichen Kurssprüngen beim Hedgen von Optionen. - (Vortrag), Veranstaltung: Value Day 2015 -- Wirtschaft trifft Wissenschaft, 12. März 2015, FH Vorarlberg, Dornbirn, Österreich.

Michael Heinrich Baumann: Linear Feedback Trading in an Interactive Market Model. - (Vortrag), Veranstaltung: Graduiertenseminar der VWL-Lehrstühle der Universität Bayreuth, 15.-17. Januar 2015, Muggendorf.

Michaela Baumann: Nicht-rekombinierbare Binomialbäume und ihre Anwendung in der Finanzmathematik. - (Vortrag), Veranstaltung: Value Day 2015, 12. März 2015, FH Vorarlberg, Dornbirn, Österreich.

Further Publications    ↑ top

Michaela Baumann and Michael Heinrich Baumann: Der Mensch sagt „Nein“ und meint doch JA. Der Grund dafür kann vieles sein. Für das Programm ist alles klar: Ein JA heißt JA und NEIN heißt NEIN., 2015

2014

Articles in a Journal (reviewed)    ↑ top

Lars Grüne and Marleen Stieler: Asymptotic stability and transient optimality of economic MPC without terminal conditions. In: Journal of Process Control, 24 (2014). - S. 1187-1196.
doi:10.1016/j.jprocont.2014.05.003

Robert Baier, Michael Dellnitz, Mirko Hessel-von Molo, Yannis G. Kevrekidis and Stefan Sertl: The computation of convex invariant sets via Newton's method. In: Journal of Computational Dynamics, 1 (2014). - S. 39-69.
doi:10.3934/jcd.2014.1.39

Robert Baier, Elza Farkhi and Vera Roshchina: Directed Subdifferentiable Functions and the Directed Subdifferential Without Delta-Convex Structure. In: Journal of Optimization Theory and Applications, 160 (2014). - S. 391-414.
doi:10.1007/s10957-013-0401-x

Alfred Greiner, Lars Grüne and Willi Semmler: Economic growth and the transition from non-renewable to renewable energy. In: Environment and Development Economics, 19 (2014). - S. 417-439.
doi:10.1017/S1355770X13000491

Elza Farkhi, Tzanko D. Donchev and Robert Baier: Existence of Solutions for Nonconvex Differential Inclusions of Monotone Type. In: Comptes Rendus de l'Académie Bulgare des Sciences, 67 (2014). - S. 323-330.

Tobias Damm, Lars Grüne, Marleen Stieler and Karl Worthmann: An exponential turnpike theorem for dissipative discrete time optimal control problems. In: SIAM Journal on Control and Optimization, 52 (2014). - S. 1935-1957.
doi:10.1137/120888934

Lars Grüne and Christopher M. Kellett: ISS-Lyapunov functions for discontinuous discrete-time systems. In: IEEE Transactions on Automatic Control, 59 (2014). - S. 3098-3103.
doi:10.1109/TAC.2014.2321667

Michael Hintermüller, Anton Schiela and Winnifried Wollner: The length of the primal-dual path in Moreau-Yosida-based path-following methods for state constrained optimal control. In: SIAM Journal on Optimization, 24 (2014). - S. 108-126.
doi:10.1137/120866762

Anton Schiela and Stefan Ulbrich: Operator preconditioning for a class of inequality constrained optimal control problems. In: SIAM Journal on Optimization, 24 (2014). - S. 435-466.
doi:10.1137/120877532

Lars Lubkoll, Anton Schiela and Martin Weiser: An optimal control problem in polyconvex hyperelasticity. In: SIAM Journal on Control and Optimization, 52 (2014). - S. 1403-1422.
doi:10.1137/120876629

Karl Worthmann, Marcus Reble, Lars Grüne and Frank Allgöwer: The role of sampling for stability and performance in unconstrained nonlinear model predictive control. In: SIAM Journal on Control and Optimization, 52 (2014). - S. 581-605.
doi:10.1137/12086652X

Andrea Boccia, Lars Grüne and Karl Worthmann: Stability and feasibility of state constrained MPC without stabilizing terminal constraints. In: Systems & Control Letters, 72 (2014). - S. 14-21.
doi:10.1016/j.sysconle.2014.08.002

Oliver Sander and Anton Schiela: Variational analysis of the coupling between a geometrically exact Cosserat rod and an elastic continuum. In: Zeitschrift für angewandte Mathematik und Physik, 65 (2014). - S. 1261-1288.
doi:10.1007/s00033-013-0389-y

Tobias Damm and Luc N. Muhirwa: Zero crossings, overshoot and initial undershoot in the step and impulse responses of linear systems. In: IEEE Transactions on Automatic Control, 59 (2014). - S. 1925-1929.
doi:10.1109/TAC.2013.2294616

Conference Proceedings (reviewed)    ↑ top

Karl Worthmann, Christopher M. Kellett, Lars Grüne and Steven R. Weller: Distributed control of residential energy systems using a market maker. In: Boje,Edward (Hrsg.): Proceedings of the 19th IFAC World Congress : IFAC-PapersOnLine. - Cape Town, South Africa : 2014. - S. 11641-11646.
doi:10.3182/20140824-6-ZA-1003.01785

Jóhann Björnsson, Peter Giesl, Sigurdur Freyr Hafstein, Christopher M. Kellett and Huijuan Li: Computation of continuous and piecewise affine Lyapunov functions by numerical approximations of the Massera construction. In: Proceedings of the IEEE 53rd Annual Conference on Decision and Control Held in Los Angeles, California, 2014. - Los Angeles, CA, USA : Institute of Electrical and Electronics Engineers (IEEE), 2014. - S. 5506-5511.
doi:10.1109/CDC.2014.7040250

Huijuan Li, Robert Baier, Lars Grüne, Sigurdur Freyr Hafstein and Fabian Wirth: Computation of local ISS Lyapunov functions via linear programming. In: MTNS 2014 : MTNS 2014 : Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems. - Groningen : University of Groningen Press, 2014. - S. 1189-1195.

Huijuan Li, Sigurdur Freyr Hafstein and Christopher M. Kellett: Computation of Lyapunov functions for discrete-time systems using the Yoshizawa construction. In: Proceedings of the IEEE 53rd Annual Conference on Decision and Control Held in Los Angeles, California, 2014. - Los Angeles, CA, USA : Institute of Electrical and Electronics Engineers (IEEE), 2014. - S. 5512-5517.
doi:10.1109/CDC.2014.7040251

Lars Grüne and Manuela Sigurani: Construction of event-based ISS controllers on coarse quantizations. In: 2014 IEEE 53rd Annual Conference on Decision and Control (CDC 2014). - Piscataway, NJ : IEEE, 2014. - S. 836-841.
doi:10.1109/CDC.2014.7039485

Sigurdur Freyr Hafstein, Christopher M. Kellett and Huijuan Li: Continuous and piecewise affine Lyapunov functions using the Yoshizawa construction. In: American Control Conference (ACC), 2014. - Portland, OR, USA : IEEE, 2014. - S. 548-553.
doi:10.1109/ACC.2014.6858660

Lars Grüne and Manuela Sigurani: A Lyapunov based nonlinear small-gain theorem for discontinuous discrete-time large-scale systems. In: MTNS 2014 : Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems. - Groningen : University of Groningen, 2014. - S. 1031-1037.

Lars Grüne and Marleen Stieler: A Lyapunov function for economic MPC without terminal conditions. In: Proceedings of the IEEE 53rd Annual Conference on Decision and Control Held in Los Angeles, California, 2014. - Los Angeles, CA : IEEE, 2014. - S. 2740-2745.
doi:10.1109/CDC.2014.7039809

Robert Baier and Sigurdur Freyr Hafstein: Numerical computation of control Lyapunov functions in the sense of generalized gradients. In: MTNS 2014 : Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems. - Groningen : University of Groningen Press, 2014. - S. 1173-1180.

Lars Grüne and Vryan Gil Palma: On the benefit of re-optimization in optimal control under perturbations. In: MTNS 2014 : Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems. - Groningen : University of Groningen, 2014. - S. 439-446.

Arthur Fleig, Lars Grüne and Roberto Guglielmi: Some results on Model Predictive Control for the Fokker-Planck equation. In: MTNS 2014 : 21st International Symposium on Mathematical Theory of Networks and Systems, July 7-11, 2014, Groningen, The Netherlands ; Proceedings. - Groningen : 2014. - S. 1203-1206.

Andrea Boccia, Lars Grüne and Karl Worthmann: Stability and feasibility of state-constrained linear MPC without stabilizing terminal constraints. In: MTNS 2014 : Proceedings on the 21st International Symposium on Mathematical Theory of Networks and Systems, July 7-11, 2014, University of Groningen. - Groningen : 2014. - S. 453-460.

Lars Grüne and Christopher M. Kellett: Strong implication-form ISS-Lyapunov functions for discontinuous discrete-time systems. In: MTNS 2014 : Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems. - Groningen : University of Groningen, 2014. - S. 1023-1030.

Book Chapters (reviewed)    ↑ top

Lars Grüne: Nominal model predictive control. In: Samad, Tariq ; Baillieul, John (Hrsg.): Encyclopedia of Systems and Control. - London : Springer, 2014.
doi:10.1007/978-1-4471-5102-9_1-2

Lars Grüne: Numerical methods for nonlinear optimal control problems. In: Samad, Tariq ; Baillieul, John (Hrsg.): Encyclopedia of Systems and Control. - London : Springer, 2014.
doi:10.1007/978-1-4471-5102-9_208-2

Articles and Book Chapters (non-reviewed)    ↑ top

Lars Grüne, Frank Allgöwer, Rolf Findeisen, Jörg Fischer, Dominic Groß, Uwe D. Hanebeck, Benjamin Kern, Matthias A. Müller, Jürgen Pannek, Marcus Reble, Olaf Stursberg, Paolo Varutti and Karl Worthmann: Distributed and networked model predictive control. In: Lunze, Jan (Hrsg.): Control theory of digitally networked dynamic systems. - Cham : Springer, 2014. - S. 111-167.
doi:10.1007/978-3-319-01131-8_4

Lars Grüne, Sandra Hirche, Oliver Junge, Peter Koltai, Daniel Lehmann, Jan Lunze, Adam Molin, Rudolf Sailer, Manuela Sigurani, Christian Stöcker and Fabian Wirth: Event-based control. In: Lunze, Jan (ed.): Control theory of digitally networked dynamic systems. - Cham : Springer, 2014. - S. 169-261.
doi:10.1007/978-3-319-01131-8_5

Jan Lunze and Lars Grüne: Introduction to networked control systems. In: Lunze, Jan (Hrsg.): Control theory of digitally networked dynamic systems. - Cham : Springer, 2014. - S. 1-30.
doi:10.1007/978-3-319-01131-8_1

Wolfgang Riedl: Optimization-based subdivision algorithm for reachable sets. In: Proceedings in Applied Mathematics and Mechanics, 14 (2014). - S. 937-938.
doi:10.1002/pamm.201410449

Lars Grüne and Mario Zanon: Periodic optimal control, dissipativity and MPC. In: MTNS 2014 : Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems. - Groningen : University of Groningen, 2014. - S. 1804-1807.

Preprints    ↑ top

Anton Schiela: A flexible framework for cubic regularization algorithms for non-convex optimization in function space.. - Hamburg-Harburg, 2014-04-04. - 26 S.

PhD Theses    ↑ top

Nils Altmüller:Model Predictive Control for Partial Differential Equations. - Bayreuth: 2014. - XIV, 169 S.
(Dissertation, 2014, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Master Theses    ↑ top

Michaela Baumann: Nicht-rekombinierbare Binomialbäume und ihre Anwendung in der Finanzmathematik. - Bayreuth, 2014.
(Masterarbeit, 2014, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl für Angewandte Mathematik)

Michael Heinrich Baumann: Portfolioverluste bei plötzlichen Kurssprüngen beim Hedgen von Optionen. - Bayreuth, 2014. 115 S.
(Masterarbeit, 2014, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl Mathematik V)

Conference Talks    ↑ top

Ilaria Xausa, Robert Baier, Olivier Bokanowski, Matthias Gerdts and Daniel Töpfer: Software for verification of collision avoidance algorithms via optimal control techniques. - (Vortrag), Veranstaltung: Conference on New Trends in Optimal Control (NetCO 2014), 23.-27. Juni 2014, Tours, Frankreich.

Further Publications    ↑ top

Michael Heinrich Baumann: Regelungsbasierte Handelsstrategien in verrauschten Märkten -- Exposee zur Dissertation, 2014

2013

Articles in a Journal (reviewed)    ↑ top

Robert Baier, Matthias Gerdts and Ilaria Xausa: Approximation of reachable sets using optimal control algorithms. In: Numerical Algebra, Control and Optimization, 3 (2013). - S. 519-548.
doi:10.3934/naco.2013.3.519

Walter Alt, Robert Baier, Frank Lempio and Matthias Gerdts: Approximations of linear control problems with bang-bang solutions. In: Optimization, 62 (2013). - S. 9-32.
doi:10.1080/02331934.2011.568619

Nils Altmüller and Lars Grüne: A comparative stability analysis of Neumann and Dirichlet boundary MPC for the heat equation. In: IFAC Proceedings Volumes, 46 (2013). - S. 161-166.
doi:10.3182/20130925-3-FR-4043.00048

Anton Schiela: A concise proof for existence and uniqueness of solutions of linear parabolic PDEs in the context of optimal control. In: Systems & Control Letters, 62 (2013). - S. 895-901.
doi:10.1016/j.sysconle.2013.06.013

Anton Schiela and Daniel Wachsmuth: Convergence analysis of smoothing methods for optimal control of stationary variational inequalities with control constraints. In: ESAIM : Mathematical Modelling and Numerical Analysis, 47 (2013). - S. 771-787.
doi:10.1051/m2an/2012049

Lars Grüne: Economic receding horizon control without terminal constraints. In: Automatica, 49 (2013). - S. 725-734.
doi:10.1016/j.automatica.2012.12.003

Anton Schiela: An interior point method in function space for the efficient solution of state constrained optimal control problems. In: Mathematical Programming Series A, 138 (2013). - S. 83-114.
doi:10.1007/s10107-012-0595-y

Tobias Damm and Dominik Stahl: Linear least squares problems with additional constraints and an application to scattered data approximation. In: Linear Algebra and its Applications, 439 (2013). - S. 933-943.
doi:10.1016/j.laa.2012.08.015

Elias Jarlebring, Tobias Damm and Wim Michiels: Model reduction of time-delay systems using position balancing and delay Lyapunov equations. In: Mathematics of Control, Signals, and Systems, 25 (2013). - S. 147-166.
doi:10.1007/s00498-012-0096-9

Robert Baier and Elza Farkhi: Regularity of set-valued maps and their selections through set differences. Part 1: Lipschitz continuity. In: Serdica Mathematical Journal, 39 (2013). - S. 365-390.

Robert Baier and Elza Farkhi: Regularity of set-valued maps and their selections through set differences. Part 2: One-sided Lipschitz properties. In: Serdica Mathematical Journal, 39 (2013). - S. 391-422.

Conference Proceedings (reviewed)    ↑ top

Lars Grüne and Manuela Sigurani: Numerical ISS controller design via a dynamic game approach. In: 2013 IEEE 52nd Annual Conference on Decision and Control (CDC 2013). - Piscataway, NJ : IEEE, 2013. - S. 1732-1737.
doi:10.1109/CDC.2013.6760132

Matthias Gerdts and Ilaria Xausa: Avoidance trajectories using reachable sets and parametric sensitivity analysis. In: Hömberg, Dietmar ; Tröltzsch, Fredi (Hrsg.): System Modeling and Optimization : 25th IFIP TC 7 Conference, CSMO 2011, Berlin, Germany, September 12-16, 2011. Revised Selected Papers. - Berlin–Heidelberg : Springer, 2013. - S. 491-500.
doi:10.1007/978-3-642-36062-6_49

Philipp Braun, Jürgen Pannek and Karl Worthmann: Predictive control algorithms : stability despite shortened optimization horizons. In: Lambertini, Luca (Hrsg.): 15th 2012 IFAC Workshop on Control Applications of Optimization. - Rimini : 2013. - S. 274-279.
doi:10.3182/20120913-4-IT-4027.00042

Book Chapters (reviewed)    ↑ top

Lars Grüne and Iasson Karafyllis: Lyapunov function based step size control for numerical ODE solvers with application to optimization algorithms. In: Knut Hüper, Jochen Trumpf (Hrsg.): Mathematical System Theory : Festschrift in Honor of Uwe Helmke on the Occasion of his 60th Birthday. - S.l. : CreateSpace Independent Publishing Platform, 2013. - S. 183-210.

Articles and Book Chapters (non-reviewed)    ↑ top

Tobias Damm: Euclidean Norm Optimal Realization Revisited. In: Hüper, Knut ; Trumpf, Jochen (Hrsg.): Mathematical System Theory : Festschrift in Honor of Uwe Helmke on the Occasion of his Sixtieth Birthday. - Würzburg (Germany) ; Canberra (Australia) : CreateSpace Independent Publishing Platform, 2013. - S. 91-102.

Peter Deuflhard and Anton Schiela: Katz und Maus. In: Katja Biermann, Martin Grötschel and Brigitte Lutz-Westphal (Hrsg.): Besser als Mathe : Moderne angewandte Mathematik aus dem MATHEON zum Mitmachen. 2., aktualisierte Auflage. - Wiesbaden : Springer Fachmedien, 2013. - S. 29-40.
doi:10.1007/978-3-658-01004-1_5

Tobias Damm and Luc N. Muhirwa: On Euclidean Norm Balancing. In: Proceedings in Applied Mathematics and Mechanics, 13 (2013). - S. 487-488.
doi:10.1002/pamm.201310236

2012

Articles in a Journal (reviewed)    ↑ top

Robert Baier, Elza Farkhi and Vera Roshchina: The directed and Rubinov subdifferentials of quasidifferentiable functions, Part I : Definition and examples. In: Nonlinear Analysis : Theory, Methods & Applications, 75 (2012). - S. 1074-1088.
doi:10.1016/j.na.2011.04.074

Robert Baier, Elza Farkhi and Vera Roshchina: The directed and Rubinov subdifferentials of quasidifferentiable functions, Part II : Calculus. In: Nonlinear Analysis : Theory, Methods & Applications, 75 (2012). - S. 1058-1073.
doi:10.1016/j.na.2011.04.073

Nils Altmüller and Lars Grüne: Distributed and boundary model predictive control for the heat equation. In: GAMM-Mitteilungen, 35 (2012). - S. 131-145.
doi:10.1002/gamm.201210010

Lars Grüne: Economic MPC and the role of exponential turnpike properties. In: Oberwolfach Reports, 9 (2012). - S. 678-681.
doi:10.4171/OWR/2012/12

Walter Alt, Robert Baier, Matthias Gerdts and Frank Lempio: Error bounds for Euler approximation of linear-quadratic control problems with bang-bang solutions. In: Numerical Algebra, Control and Optimization, 2 (2012). - S. 547-570.
doi:10.3934/naco.2012.2.547

Robert Baier, Q. Din and T. D. Donchev: Higher order Runge–Kutta methods for impulsive differential systems. In: Applied Mathematics and Computation, 218 (2012). - S. 11790-11798.
doi:10.1016/j.amc.2012.05.037

Robert Baier, Lars Grüne and Sigurđur Freyr Hafstein: Linear programming based Lyapunov function computation for differential inclusions. In: Discrete and Continuous Dynamical Systems. Series B, 17 (2012). - S. 33-56.
doi:10.3934/dcdsb.2012.17.33

Peter Deuflhard, Anton Schiela and Martin Weiser: Mathematical cancer therapy planning in deep regional hyperthermia. In: Acta Numerica, 21 (2012). - S. 307-378.
doi:10.1017/S0962492912000049

Lars Grüne: NMPC without terminal constraints. In: IFAC Proceedings Volumes, 45 (2012). - S. 1-13.
doi:10.3182/20120823-5-NL-3013.00030

Maria Hänel, Stefan Kuhn, Dominik Henrich, Lars Grüne and Jürgen Pannek: Optimal camera placement to measure distances regarding static and dynamic obstacles. In: International Journal of Sensor Networks, 12 (2012). - S. 25-36.
doi:10.1504/IJSNET.2012.047713

Conference Proceedings (reviewed)    ↑ top

Lars Grüne, Jürgen Pannek, Martin Seehafer and Karl Worthmann: Analysis of unconstrained nonlinear MPC schemes with time varying control horizon. In: 51st IEEE Conference on Decision and Control : Final Program and Book of Abstracts. - Piscataway, NJ : IEEE, 2012. - S. 2605-2610.
doi:10.1109/CDC.2012.6426581

Ilaria Xausa, Robert Baier, Matthias Gerdts, Mark Gonter and Christian Wegwerth: Avoidance trajectories for driver assistance systems via solvers for optimal control problems. In: Proceedings on the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012), July 9-13, 2012, Melbourne, Australia. - Melbourne, Australia : Think Business Events, 2012. - S. 8.

Lars Grüne and Thomas U. Jahn: Computing reachable sets via barrier methods on SIMD architectures. In: Eberhardsteiner, Josef ; Böhm, Helmut J. ; Rammerstorfer, Franz G. (eds.): Proceedings of the 6th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012) Held at the University of Vienna, Austria, September 10-14, 2012. - Vienna : Vienna University of Technology, 2012. - S. 2076-2095.

Lars Grüne: Economic MPC without terminal constraints. In: Proceedings on the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012). - Melbourne, Australia : Think Business Events, 2012.

Lars Grüne, Jürgen Pannek and Karl Worthmann: Ensuring stability in networked systems with nonlinear MPC for continuous time systems. In: 51st IEEE Conference on Decision and Control : Final Program and Book of Abstracts. - Piscataway, NJ : IEEE, 2012. - S. 14-19.
doi:10.1109/CDC.2012.6426278

Karl Worthmann: Estimates of the Prediction Horizon Length in MPC : a Numerical Case Study. In: 4th IFAC Nonlinear Model Predictive Control Conference. - Red Hook, NY : Curran, 2012. - S. 232-237.

Karl Worthmann: Estimates on the prediction horizon length in model predictive control. In: Proceedings of the 20th International Symposium on Mathematical Theory of Networks and Systems. - Melbourne : 2012.

Igor Kornienko and Matthias Gerdts: A new version of necessary conditions for optimal control problems with differential algebraic equations. In: Proceedings on the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012). - Melbourne, Australia : Think Business Events, 2012.

Robert Baier and Mirko Hessel-von Molo: Newton’s method and secant method for set-valued mappings. In: Ivan Lirkov, Svetozar D. Margenov, Jerzy Waśniewski (Hrsg.): Large-scale scientific computing : 8th international conference, LSSC 2011, Sozopol, Bulgaria, June 6 - 10, 2011 ; revised selected papers. - Berlin : 2012. - S. 91-98.
doi:10.1007/978-3-642-29843-1_9

Robert Baier: Set-valued Euler's method with interpolated distance functions and optimal control solvers. In: Proceedings on the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012). - Melbourne, Australia : Think Business Events, 2012.

Sebastian Götschel, Martin Weiser and Anton Schiela: Solving Optimal Control Problems with the Kaskade 7 Finite Element Toolbox. In: Dedner, Andreas ; Flemisch, Bernd ; Klöfkorn, Robert (Hrsg.): Advances in DUNE : Proceedings of the DUNE User Meeting, Held in October 6th–8th 2010 in Stuttgart, Germany. - Berlin : Springer, 2012. - S. 101-112.
doi:10.1007/978-3-642-28589-9_8

Christian Grußler and Tobias Damm: A Symmetry Approach for Balanced Truncation of Positive Linear Systems. In: Proceedings of the 51st IEEE Conference on Decision and Control Held in Maui, Hawaii, 2012. - Maui, Hawaii, USA : Institute of Electrical and Electronics Engineers (IEEE), 2012. - S. 4308-4313.
doi:10.1109/CDC.2012.6426442

Huijuan Li and Fabian Wirth: Zubov's method for interconnected systems : a dissipative formulation. In: Proceedings on the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012), July 9-13, 2012, Melbourne, Australia. - Melbourne, Australia : Think Business Events, 2012.

Book Chapters (reviewed)    ↑ top

Lars Grüne and Karl Worthmann: A Distributed NMPC Scheme without Stabilizing Terminal Constraints. In: Rolf Johansson, Anders Rantzer (Hrsg.): Distributed Decision Making and Control. - London : Springer, 2012. - S. 261-287.
doi:10.1007/978-1-4471-2265-4_12

Articles and Book Chapters (non-reviewed)    ↑ top

Dominik Stahl and Tobias Damm: Approximation of scattered data using the lifting scheme. In: Proceedings in Applied Mathematics and Mechanics, 12 (2012). - S. 739-740.
doi:10.1002/pamm.201210358

Corinna Klapproth, Anton Schiela and Peter Deuflhard: Fast algorithms for the simulation of human knee joint motion. In: C. Hellmich, M. H. Hamza and D. Simsik (Hrsg.): Proceedings of the IASTED International Conference on Biomedical Engineering (BioMed 2012), February 15-17, 2012, Innsbruck, Austria. - Anaheim, CA : ACTA Press, 2012. - S. 696-699.
doi:10.2316/P.2012.764-176

Vryan Gil Palma and Lars Grüne: Stability, performance and robustness of sensitivity-based multistep feedback NMPC. In: MTNS 2012 : Proceedings of the 20th International Symposium on Mathematical Theory of Networks and Systems. - Melbourne : 2012.

Christian Grußler and Tobias Damm: Symmetric Positivity Preserving Balanced Truncation. In: Proceedings in Applied Mathematics and Mechanics, 12 (2012). - S. 717-718.
doi:10.1002/pamm.201210347

Tobias Damm and Luc N. Muhirwa: Zero crossings in the step response of linear time-delay systems. In: Proceedings in Applied Mathematics and Mechanics, 12 (2012). - S. 701-702.
doi:10.1002/pamm.201210339

Conference Talks    ↑ top

Corinna Klapproth, Anton Schiela and Peter Deuflhard: Adaptive numerical integration of dynamical contact problems. - (Vortrag), Veranstaltung: Thematic Conference of the European Community on Computational Methods in Applied Sciences (ECCOMAS), 2nd International Conference on Computational Contact Mechanics (ICCCM 2011), 15.-17. Juni 2011, Hannover, Germany.

2011

Books & Monographs    ↑ top

Matthias Gerdts and Frank Lempio: Mathematische Optimierungsverfahren des Operations Research. - Berlin : De Gruyter, 2011. - IX, 527 S.
doi:10.1515/9783110249989

Lars Grüne and Jürgen Pannek: Nonlinear Model Predictive Control : Theory and Algorithms. - London : Springer, 2011. - XII, 360 S.
doi:10.1007/978-0-85729-501-9

Articles in a Journal (reviewed)    ↑ top

Corinna Klapproth, Anton Schiela and Peter Deuflhard: Adaptive timestep control for the contact-stabilized Newmark method. In: Numerische Mathematik, 119 (2011). - S. 49-81.
doi:10.1007/s00211-011-0374-3

Anton Schiela and Winnifried Wollner: Barrier Methods for Optimal Control Problems with Convex Nonlinear Gradient State Constraints. In: SIAM Journal on Optimization, 21 (2011). - S. 269-286.
doi:10.1137/080742154

Lars Grüne and Oana Silvia Serea: Differential Games and Zubov's Method. In: SIAM Journal on Control and Optimization, 49 (2011). - S. 2349-2377.
doi:10.1137/100787829

Michael Hinze and Anton Schiela: Discretization of interior point methods for state constrained elliptic optimal control problems : optimal error estimates and parameter adjustment. In: Computational Optimization and Applications, 48 (2011). - S. 581-600.
doi:10.1007/s10589-009-9278-x

Iasson Karafyllis and Lars Grüne: Feedback stabilization methods for the numerical solution of ordinary differential equations. In: Discrete and Continuous Dynamical Systems. Series B, 16 (2011). - S. 283-317.
doi:10.3934/dcdsb.2011.16.283

Hideaki Aoyama, Lars Grüne, Willi Semmler, Yoshi Fujiwara and Wataru Souma: Fluctuation of Firm Size in the Long-Run and Bimodal Distribution. In: Advances in Operations Research, 2011 (2011). - .
doi:10.1155/2011/269239

Peter Benner, T. Breiten and Tobias Damm: Generalised tangential interpolation for model reduction of discrete-time MIMO bilinear systems. In: International Journal of Control, 84 (2011). - S. 1398-1407.
doi:10.1080/00207179.2011.601761

Anton Schiela and Andreas Günther: An interior point algorithm with inexact step computation in function space for state constrained optimal control. In: Numerische Mathematik, 119 (2011). - S. 373-407.
doi:10.1007/s00211-011-0381-4

Peter Benner and Tobias Damm: Lyapunov Equations, Energy Functionals, and Model Order Reduction of Bilinear and Stochastic Systems. In: SIAM Journal on Control and Optimization, 49 (2011). - S. 686-711.
doi:10.1137/09075041X

Jürgen Pannek and Karl Worthmann: Reducing the Prediction Horizon in NMPC : An Algorithm Based Approach. In: IFAC Proceedings Volumes, 44 (2011). - S. 7969-7974.
doi:10.3182/20110828-6-IT-1002.00916

Rolf Findeisen, Lars Grüne, Jürgen Pannek and Paolo Varutti: Robustness of Prediction Based Delay Compensation for Nonlinear Systems. In: IFAC Proceedings Volumes, 44 (2011). - S. 203-208.
doi:10.3182/20110828-6-IT-1002.03090

Robert Baier and Gilbert Perria: Set-valued Hermite interpolation. In: Journal of Approximation Theory, 163 (2011). - S. 1349-1372.
doi:10.1016/j.jat.2010.11.004

Christian Meyer, Lucia Panizzi and Anton Schiela: Uniqueness criteria for the adjoint equation in state-constrained elliptic optimal control. In: Numerical Functional Analysis and Optimization, 32 (2011). - S. 983-1007.
doi:10.1080/01630563.2011.587074

Conference Proceedings (reviewed)    ↑ top

Tobias Damm and Jan Homeyer: On Indefinite Damping and Gyroscopic Stabilization. In: Proceedings of the 18th IFAC World Congress 2011 Held in Milano, Italy. - Milano, Italy : International Federation of Automatic Control (IFAC), 2011. - S. 7589-7593.
doi:10.3182/20110828-6-IT-1002.01773

Lars Grüne: Optimal invariance via receding horizon control. In: 50th IEEE Conference on Decision and Control and European Control Conference. - Piscataway, NJ : IEEE, 2011. - S. 2668-2673.
doi:10.1109/CDC.2011.6160242

Thomas U. Jahn and Jürgen Pannek: Stability of constrained adaptive model predictive control algorithms. In: Proceedings of the 18th IFAC World Congress 2011 Held in Milano, Italy. - Milano : International Federation of Automatic Control (IFAC), 2011. - S. 9272-9277.
doi:10.3182/20110828-6-IT-1002.01430

Book Chapters (reviewed)    ↑ top

Lars Grüne and Karl Worthmann: Sampled-data redesign for nonlinear multi-input systems. In: Fabio Ancona, Alberto Bressan, Piermarco Cannarsa, Francis Clarke, Peter R. Wolenski (Hrsg.): Geometric Control And Nonsmooth Analysis : in honor of the 73rd birthday of H. Hermes and the 71st birthday of R. T. Rockafellar. - New Jersey, NJ : World Scientific, 2011. - S. 206-227.
doi:10.1142/9789812776075_0011

Bachelor Theses    ↑ top

Michael Heinrich Baumann: Risikomaße auf Aktienmärkten [Measures of risk in a financial market]. - München, 2011. 42 S.
(, 2011, Ludwig-Maximilians-Universität München, Fakultät für Mathematik, Informatik und Statistik)

2010

Articles in a Journal (reviewed)    ↑ top

Lars Grüne and Jürgen Pannek: Analysis of unconstrained NMPC schemes with incomplete optimization. In: IFAC Proceedings Volumes, 43 (2010). - S. 238-243.
doi:10.3182/20100901-3-IT-2016.00124

Lars Grüne, Jürgen Pannek, Martin Seehafer and Karl Worthmann: Analysis of Unconstrained Nonlinear MPC Schemes with Time Varying Control Horizon. In: SIAM Journal on Control and Optimization, 48 (2010). - S. 4938-4962.
doi:10.1137/090758696

Robert Baier, Lars Grüne and Sigurdur Freyr Hafstein: Computing Lyapunov functions for strongly asymptotically stable differential inclusions. In: IFAC Proceedings Volumes, 43 (2010). - S. 1098-1103.
doi:10.3182/20100901-3-IT-2016.00132

Corinna Klapproth, Anton Schiela and Peter Deuflhard: Consistency results on Newmark methods for dynamical contact problems. In: Numerische Mathematik, 116 (2010). - S. 65-94.
doi:10.1007/s00211-010-0300-0

Robert Baier and Tzanko Donchev: Discrete Approximation of Impulsive Differential Inclusions. In: Numerical Functional Analysis and Optimization, 31 (2010). - S. 653-678.
doi:10.1080/01630563.2010.483878

Lars Grüne, Marcus von Lossow, Jürgen Pannek and Karl Worthmann: MPC : implications of a growth condition on exponentially controllable systems. In: IFAC Proceedings Volumes, 43 (2010). - S. 385-390.
doi:10.3182/20100901-3-IT-2016.00225

Lars Grüne, Florian Müller, Stefan Jerg, Oliver Junge, Marcus Post, Daniel Lehmann and Jan Lunze: Two Complementary Approaches to Event-based Control : Zwei komplementäre Zugänge zur ereignisbasierten Regelung. In: Automatisierungstechnik, 58 (2010). - S. 173-182.
doi:10.1524/auto.2010.0832

Lars Grüne: Worst case vs. average performance estimates for unconstrained NMPC schemes. In: Proceedings in Applied Mathematics and Mechanics, 10 (2010). - S. 607-608.
doi:10.1002/pamm.201010296

Conference Proceedings (reviewed)    ↑ top

Anton Schiela and Martin Weiser: Barrier Methods for a Control Problem from Hyperthermia Treatment Planning. In: Recent Advances in Optimization and its Applications in Engineering. - Berlin : Springer, 2010. - S. 419-428.
doi:10.1007/978-3-642-12598-0_36

Lars Grüne and Florian Müller: Global optimal control of quantized systems. In: Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2010. - Budapest : 2010. - S. 1231-1237.

Nils Altmüller, Lars Grüne and Karl Worthmann: Instantaneous Control of the linear wave equation. In: Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2010. - Budapest : 2010. - S. 1895-1899.

Robert Baier, Elza Farkhi and Vera Roshchina: On Computing the Mordukhovich Subdifferential Using Directed Sets in Two Dimensions. In: Regina S. Burachik, Jen-Chih Yao (Hrsg.): Variational Analysis and Generalized Differentiation in Optimization and Control : In Honor of Boris S. Mordukhovich. - New York : Springer, 2010. - S. 59-93.
doi:10.1007/978-1-4419-0437-9_3

Nils Altmüller, Lars Grüne and Karl Worthmann: Receding horizon optimal control for the wave equation. In: 49th IEEE Conference on Decision and Control (CDC). - Piscataway, NJ : IEEE, 2010. - S. 3427-3432.
doi:10.1109/CDC.2010.5717272

Book Chapters (reviewed)    ↑ top

Robert Baier and Elza Farkhi: The Directed Subdifferential of DC functions. In: A. Leizaarowitz, B. S. Mordukhovich, I. Shafrir, A. J. Zaslavski (Hrsg.): Nonlinear analysis and optimization II. Optimization : a conference in celebration of Alex Ioffe's 70th and Simeon Reich's 60th birthdays, June 18-24, 2008, Haifa, Israel. - Providence, R.I. : American Mathematical Society, 2010. - S. 27-43.
doi:10.1090/conm/514

Alfred Greiner, Lars Grüne and Willi Semmler: Growth and Climate Change : Threshold and Multiple Equilibria. In: Jesús Crespo Cuaresma, Tapio Palokangas, Alexander Tarasyev (Hrsg.): Dynamic Systems, Economic Growth, and the Environment. - Berlin : Springer, 2010. - S. 63-78.
doi:10.1007/978-3-642-02132-9_4

Peter Deuflhard, Ralf Kornhuber, Oliver Sander, Anton Schiela and Martin Weiser: Mathematics cures virtual patients. In: MATHEON - Mathematics for Key Technologies. - Zürich : European Math. Soc., 2010. - S. 7-25.
doi:10.4171/137

Lars Grüne, Marcus von Lossow and Karl Worthmann: NMPC Suboptimality Estimates for Sampled–Data Continuous Systems. In: Moritz Diehl, Francois Glineur, Elias Jarlebring, Wim Michiels (Hrsg.): Recent Advances in Optimization and its Applications in Engineering. - Berlin : Springer, 2010. - S. 329-338.
doi:10.1007/978-3-642-12598-0_29

Nils Altmüller, Lars Grüne and Karl Worthmann: Performance of NMPC Schemes without Stabilizing Terminal Constraints. In: Moritz Diehl, Francois Glineur, Elias Jarlebring, Wim Michiels (Hrsg.): Recent Advances in Optimization and its Applications in Engineering. - Berlin : Springer, 2010. - S. 289-298.
doi:10.1007/978-3-642-12598-0_25

Lars Grüne, Sebastian Sager, Frank Allgöwer, Hans Georg Bock and Moritz Diehl: Predictive Planning and Systematic Action : On the Control of Technical Processes. In: Martin Grötschel, Klaus Lucas, Volker Mehrmann (Hrsg.): Production Factor Mathematics. - Berlin : Springer, 2010. - S. 9-37.
doi:10.1007/978-3-642-11248-5_2

Diploma Theses    ↑ top

Thomas U. Jahn: Implementierung numerischer Algorithmen auf CUDA–Systemen. - Bayreuth, 2010. 171 S.
(Diplomarbeit, 2010, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl Mathematik V)

2009

Books & Monographs    ↑ top

Lars Grüne: Gewöhnliche Differentialgleichungen : Eine Einführung aus der Perspektive der dynamischen Systeme. - Wiesbaden : Vieweg + Teubner, 2009. - XI, 243 S.
doi:10.1007/978-3-8348-9261-4

Articles in a Journal (reviewed)    ↑ top

Lars Grüne: Analysis and Design of Unconstrained Nonlinear MPC Schemes for Finite and Infinite Dimensional Systems. In: SIAM Journal on Control and Optimization, 48 (2009). - S. 1206-1228.
doi:10.1137/070707853

Anton Schiela: Barrier methods for optimal control problems with state constraints. In: SIAM Journal on Optimization, 20 (2009). - S. 1002-1031.
doi:10.1137/070692789

Willi Semmler, Lars Grüne and Caroline Öhrlein: Dynamic Consumption and Portfolio Decisions with Time Varying Asset Returns. In: The Journal of Wealth Management, 12 (2009). - S. 21-47.
doi:10.3905/jwm.2009.12.2.021

Robert Haller-Dintelmann, Christian Meyer, Joachim Rehberg and Anton Schiela: Hölder continuity and optimal control for nonsmooth elliptic problems. In: Applied Mathematics and Optimization, 60 (2009). - S. 397-428.
doi:10.1007/s00245-009-9077-x

Uwe Prüfert and Anton Schiela: The minimization of a maximum-norm functional subject to an elliptic PDE and state constraints. In: ZAMM : Journal of Applied Mathematics and Mechanics = Zeitschrift für angewandte Mathematik und Mechanik, 89 (2009). - S. 536-551.
doi:10.1002/zamm.200800097

Corinna Klapproth, Peter Deuflhard and Anton Schiela: A perturbation result for dynamical contact problems. In: Numerical Mathematics : Theory, Methods and Applications, 2 (2009). - S. 237-257.
doi:10.4208/nmtma.2009.m9003

Lars Grüne and Jürgen Pannek: Practical NMPC suboptimality estimates along trajectories. In: Systems & Control Letters, 58 (2009). - S. 161-168.
doi:10.1016/j.sysconle.2008.10.012

Lars Grüne and Oliver Junge: Set Oriented Construction of Globally Optimal Controllers : Mengenorientierte Konstruktion global optimaler Regler. In: Automatisierungstechnik, 57 (2009). - S. 287-295.
doi:10.1524/auto.2009.0777

Anton Schiela: State constrained optimal control problems with states of low regularity. In: SIAM Journal on Control and Optimization, 48 (2009). - S. 2407-2432.
doi:10.1137/080727610

Conference Proceedings (reviewed)    ↑ top

Lars Grüne and Florian Müller: An algorithm for event-based optimal feedback control. In: Proceedings of the 48th IEEE Conference on Decision and Control. - Piscataway, NJ : IEEE, 2009. - S. 5311-5316.

Robert Baier and Matthias Gerdts: A computational method for non-convex reachable sets using optimal control. In: Proceedings of the European Control Conference (ECC). - Piscataway, New Jersey : IEEE, 2009. - S. 97-102.
doi:10.23919/ECC.2009.7074386

Fabio Camilli, Lars Grüne and Fabian Wirth: Domains of attraction of interconnected systems : A Zubov method approach. In: Proceedings of the European Control Conference (ECC). - Piscataway, NJ : IEEE, 2009. - S. 91-96.
doi:10.23919/ECC.2009.7074385

Anton Schiela: An extended mathematical framework for barrier methods in function space. In: Bercovier, Michel ; Gander, Martin J. ; Kornhuber, Ralf ; Widlund, Olof (Hrsg.): Domain decomposition methods in science and engineering XVIII. - Berlin : Springer, 2009. - S. 201-208.
doi:10.1007/978-3-642-02677-5_21

Iasson Karafyllis and Lars Grüne: Feedback Stabilization Methods for the Numerical Solution of Systems of Ordinary Differential Equations. In: Numerical analysis and applied mathematics : International Conference on Numerical Analysis and Applied Mathematics 2009. - Melville, NY : American Inst. of Physics, 2009. - S. 152-155.
doi:10.1063/1.3241391

Lars Grüne, Jürgen Pannek and Karl Worthmann: A networked unconstrained nonlinear MPC scheme. In: Proceedings of the European Control Conference (ECC). - Piscataway, NJ : IEEE, 2009. - S. 371-376.
doi:10.23919/ECC.2009.7074430

Lars Grüne, Jürgen Pannek and Karl Worthmann: A prediction based control scheme for networked systems with delays and packet dropouts. In: Proceedings of the 48th IEEE Conference on Decision and Control. - Piscataway, NJ : IEEE, 2009. - S. 537-542.

Book Chapters (reviewed)    ↑ top

Lars Grüne, Sebastian Sager, Frank Allgöwer, Hans Georg Bock and Moritz Diehl: Vorausschauend Planen, Gezielt Handeln : Über die Regelung und Steuerung technischer Prozesse. In: Martin Gröschel, Klaus Lucas, Volker Mehrmann (Hrsg.): Produktionsfaktor Mathematik. - Berlin : Springer, 2009. - S. 27-62.
doi:10.1007/978-3-540-89435-3_2

Articles and Book Chapters (non-reviewed)    ↑ top

Lars Grüne, Dragan Nešić and Karl Worthmann: Digital redesign of nonlinear multi-input systems. In: Oberwolfach Reports, 6 (2009). - S. 619-622.

Anton Schiela: Interior point methods in function space : Newton path-following and adaptivity. In: Oberwolfach Reports, 6 (2009). - S. 254-256.
doi:10.4171/OWR/2009/04

Preprints    ↑ top

Robert Baier and Tzanko Donchev: Discrete Approximation of Impulsive Differential Inclusions.. - Bonn, 2009. - 22 S.

Jürgen Pannek: Horizon Adaptation for Nonlinear Model Predictive Controllers with guaranteed Degree of Suboptimality.. - Bayreuth, 2009. - 20 S.

2008

Articles in a Journal (reviewed)    ↑ top

Lars Grüne and Willi Semmler: Asset pricing with loss aversion. In: Journal of Economic Dynamics and Control, 32 (2008). - S. 3253-3274.
doi:10.1016/j.jedc.2008.01.002

Lars Grüne, Karl Worthmann and Dragan Nešić: Continuous-time controller redesign for digital implementation : A trajectory based approach. In: Automatica, 44 (2008). - S. 225-232.
doi:10.1016/j.automatica.2007.05.003

Fabio Camilli, Lars Grüne and Fabian Wirth: Control Lyapunov Functions and Zubov's Method. In: SIAM Journal on Control and Optimization, 47 (2008). - S. 301-326.
doi:10.1137/06065129X

Martin Weiser, Tobias Gänzler and Anton Schiela: A control reduced primal interior point method for a class of control constrained optimal control problems. In: Computational Optimization and Applications, 41 (2008). - S. 127-145.
doi:10.1007/s10589-007-9088-y

Lars Grüne and Oliver Junge: Global Optimal Control of Perturbed Systems. In: Journal of Optimization Theory and Applications, 136 (2008). - S. 411-429.
doi:10.1007/s10957-007-9312-z

Lars Grüne: Input-to-state stability, numerical dynamics and sampled-data control. In: GAMM-Mitteilungen, 31 (2008). - S. 94-114.
doi:10.1002/gamm.200890005

Lars Grüne and Anders Rantzer: On the Infinite Horizon Performance of Receding Horizon Controllers. In: IEEE Transactions on Automatic Control, 53 (2008). - S. 2100-2111.
doi:10.1109/TAC.2008.927799

Lars Grüne, Jürgen Pannek, Karl Worthmann and Dragan Nešić: Redesign Techniques for Nonlinear Sampled-data Systems : (Entwurfstechniken für nichtlineare Abtastsysteme). In: Automatisierungstechnik, 56 (2008). - S. 38-48.
doi:10.1524/auto.2008.0684

Anton Schiela: A simplified approach to semismooth Newton methods in function space. In: SIAM Journal on Optimization, 19 (2008). - S. 1417-1432.
doi:10.1137/060674375

Anton Schiela and Martin Weiser: Superlinear convergence of the control reduced interior point method for PDE constrained optimization. In: Computational Optimization and Applications, 39 (2008). - S. 369-393.
doi:10.1007/s10589-007-9057-5

Robert Baier and Frank Lempio: Von Eudoxos bis zur Klimafolgenforschung : Exhaustion, Finite Elemente und mengenwertige Numerik. In: Spektrum, (2008). - S. 6-12.

Conference Proceedings (reviewed)    ↑ top

Lars Grüne and Karl Worthmann: Nonlinear sampled-data redesign : analytical formulas and their practical implementation. In: Mathematical Theory of Networks and Systems (MTNS2008) : Proceedings of the 18th International Symposium Blacksburg, Virginia, USA. - Blacksburg, VA, USA : 2008.

Lars Grüne and Florian Müller: Set oriented optimal control using past information. In: Mathematical Theory of Networks and Systems (MTNS2008) : Proceedings of the 18th International Symposium Blacksburg, Virginia, USA. - Blacksburg, VA, USA : 2008.

Lars Grüne and Jürgen Pannek: Trajectory based suboptimality estimates for receding horizon controllers. In: Mathematical Theory of Networks and Systems (MTNS2008) : Proceedings of the 18th International Symposium Blacksburg, Virginia, USA. - Blacksburg, VA, USA : 2008.

Lars Grüne: Optimization Based Stabilization of Nonlinear Control Systems. In: Ivan D. Lirkov, Svetozar Margenov, Jerzy Waśniewski (Hrsg.): Large-Scale Scientific Computing : 6th International Conference, LSSC 2007, Sozopol, Bulgaria, June 5-9, 2007 ; revised papers. - Berlin : Springer, 2008. - S. 52-65.
doi:10.1007/978-3-540-78827-0_5

Preprints    ↑ top

Robert Baier and Gilbert Perria: Hermite Interpolation with Directed Sets.. - Bonn, 2008-12. -

Robert Baier and Elza Farkhi: The Directed Subdifferential of DC functions.. - Bonn, 2008-03. - 19 S.

2007

Articles in a Journal (reviewed)    ↑ top

Robert Baier, Christof Büskens, Ilyes Aïssa Chahma and Matthias Gerdts: Approximation of reachable sets by direct solution methods for optimal control problems. In: Optimization Methods and Software, 22 (2007). - S. 433-452.
doi:10.1080/10556780600604999

Lars Grüne and Willi Semmler: Asset pricing with dynamic programming. In: Computational Economics, 29 (2007). - S. 233-265.
doi:10.1007/s10614-006-9063-1

Stephanie Becker, Lars Grüne and Willi Semmler: Comparing accuracy of second-order approximation and dynamic programming. In: Computational Economics, 30 (2007). - S. 65-91.
doi:10.1007/s10614-007-9087-1

Lars Grüne: Computing minimal optimization horizons for stabilizing unconstrained MPC schemes. In: Proceedings in Applied Mathematics and Mechanics, 7 (2007). - .
doi:10.1002/pamm.200700203

Lars Grüne and Oliver Junge: An efficient algorithm for perturbed shortest path problems. In: Proceedings in Applied Mathematics and Mechanics, 7 (2007). - S. 1025003-1025004.
doi:10.1002/pamm.200700714

Lars Grüne, Willi Semmler and Lucas Bernard: Firm value, diversified capital assets, and credit risk: towards a theory of default correlation. In: The Journal of Credit Risk, 3 (2007). - S. 81-109.
doi:10.21314/JCR.2007.053

Lars Grüne, Peter E. Kloeden, Stefan Siegmund and Fabian Wirth: Lyapunov's second method for nonautonomous differential equations. In: Discrete and Continuous Dynamical Systems, 18 (2007). - S. 375-403.
doi:10.3934/dcds.2007.18.375

Marcus von Lossow: A min-max version of Dijkstra's algorithm with application to perturbed optimal control problems. In: Proceedings in Applied Mathematics and Mechanics, 7 (2007). - S. 4130027-4130028.
doi:10.1002/pamm.200700646

Robert Baier and Elza Farkhi: Regularity and Integration of Set-Valued Maps Represented by Generalized Steiner Points. In: Set-Valued Analysis, 15 (2007). - S. 185-207.
doi:10.1007/s11228-006-0038-0

Robert Baier, Ilyes Aïssa Chahma and Frank Lempio: Stability and Convergence of Euler's Method for State-Constrained Differential Inclusions. In: SIAM Journal on Optimization, 18 (2007). - S. 1004-1026.
doi:10.1137/060661867

Conference Proceedings (reviewed)    ↑ top

Lars Grüne and Oliver Junge: Approximately optimal nonlinear stabilization with preservation of the Lyapunov function property. In: 46th IEEE Conference on Decision and Control. - Piscataway, NJ : IEEE, 2007. - S. 702-707.
doi:10.1109/CDC.2007.4434428

Lars Grüne: Computing stability and performance bounds for unconstrained NMPC schemes. In: 46th IEEE Conference on Decision and Control. - Piscataway, NJ : IEEE, 2007. - S. 1263-1268.
doi:10.1109/CDC.2007.4434156

Robert Baier: Generalized Steiner Selections Applied to Standard Problems of Set-Valued Numerical Analysis. In: Vasile Staicu (Hrsg.): Differential Equations, Chaos and Variational Problems. - Basel : Birkhäuser, 2007. - S. 49-60.
doi:10.1007/978-3-7643-8482-1_4

Lars Grüne, Dragan Nešić and Jürgen Pannek: Model predictive control for nonlinear sampled-data systems. In: Rolf Findeisen, Frank Allgöwer, Lorenz T. Biegler (Hrsg.): Assessment and Future Directions of Nonlinear Model Predictive Control. - Berlin : Springer, 2007. - S. 105-113.
doi:10.1007/978-3-540-72699-9_8

Working Papers    ↑ top

Anton Schiela: Optimality Conditions for Convex State Constrained Optimal Control Problems with Discontinuous States. - Berlin, 2007. -

PhD Theses    ↑ top

Gilbert Perria:Set-valued interpolation. - Bayreuth: Mathemat. Inst. der Univ. Bayreuth, 2007.
(Dissertation, 2007, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Diploma Theses    ↑ top

Nils Altmüller: Poiseuille- und Quetschströmungen zwischen gewellten Platten. - Bayreuth, 2007.
(Diplomarbeit, 2007, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl für Ingenieurmathematik, Universität Bayreuth, Fakultät für Ingenieurwissenschaften, Lehrstuhl für Technische Mechanik und Strömungsmechanik)

2006

Articles in a Journal (reviewed)    ↑ top

Florian Bauer, Lars Grüne and Willi Semmler: Adaptive spline interpolation for Hamilton–Jacobi–Bellman equations. In: Applied Numerical Mathematics, 56 (2006). - S. 1196-1210.
doi:10.1016/j.apnum.2006.03.011

Lars Grüne and Peter E. Kloeden: Higher order numerical approximation of switching systems. In: Systems & Control Letters, 55 (2006). - S. 746-754.
doi:10.1016/j.sysconle.2006.03.002

Lars Grüne and Patrick Saint-Pierre: An invariance kernel representation of ISDS Lyapunov functions. In: Systems & Control Letters, 55 (2006). - S. 736-745.
doi:10.1016/j.sysconle.2006.02.003

Dragan Nešić and Lars Grüne: A receding horizon control approach to sampled-data implementation of continuous-time controllers. In: Systems & Control Letters, 55 (2006). - S. 660-672.
doi:10.1016/j.sysconle.2005.09.013

Fabio Camilli, Annalisa Cesaroni, Lars Grüne and Fabian Wirth: Stabilization of controlled diffusions and Zubov's method. In: Stochastics and Dynamics, 6 (2006). - S. 373-394.
doi:10.1142/S0219493706001803

Conference Proceedings (reviewed)    ↑ top

Lars Grüne, Dragan Nešić and Karl Worthmann: High order approximations by sampled-data feedback. In: MTNS 2006 : Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems. - Kyoto, Japan : Kyoto Univ., 2006. - S. 1780-1787.

Lars Grüne and Oliver Junge: Optimal stabilization of hybrid systems using a set oriented approach. In: MTNS 2006 : Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems. - Kyoto, Japan : Kyoto Univ., 2006. - S. 2089-2093.

Lars Grüne and A. Ratzer: Suboptimality estimates for receding horizon controllers. In: MTNS 2006 : Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems. - Kyoto, Japan : Kyoto Univ., 2006. - S. 120-127.

Working Papers    ↑ top

Anton Schiela: A continuity result for Nemyckii Operators and some applications in PDE constrained optimal control. - Berlin, 2006. -

Anton Schiela: Convergence of the Control Reduced Interior Point Method for PDE Constrained Optimal Control with State Constraints. - Berlin, 2006. -

Habilitation Theses    ↑ top

Matthias Gerdts: Optimal Control of Ordinary Differential Equations and Differential-Algebraic Equations. - Bayreuth, 2006.
(, 2006, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

PhD Theses    ↑ top

Gilbert Perria:Set Valued Interpolation. - Bayreuth: 2006.
(Dissertation, 2006, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Diploma Theses    ↑ top

Karl Worthmann: Digitale Implementierung kontinuierlicher Regler : Analyse und Optimierung. - Bayreuth, 2006.
(Diplomarbeit, 2006, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

2005

Books & Monographs    ↑ top

Robert Baier and Matthias Gerdts: Set-Valued Numerical Analysis and Optimal Control : Lecture Notes for the DAAD Intensive Course "Optimization - Theory and Applications" (July 05 -17, 2005). - Borovets, Bulgaria : 2005. - 264 S.

Articles in a Journal (reviewed)    ↑ top

Martin Weiser, Anton Schiela and Peter Deuflhard: Asymptotic mesh independence of Newton's method revisited. In: SIAM Journal on Numerical Analysis, 42 (2005). - S. 1830-1845.
doi:10.1137/S0036142903434047

Lars Grüne and Oliver Junge: Constructing Robust Feedback Laws by Set Oriented Numerical Methods. In: Proceedings in Applied Mathematics and Mechanics, 5 (2005). - S. 157-160.
doi:10.1002/pamm.200510059

Lars Grüne, Willi Semmler and Malte Sieveking: Creditworthiness and thresholds in a credit market model with multiple equilibria. In: Economic Theory, 25 (2005). - S. 287-315.
doi:10.1007/s00199-003-0442-8

Lars Grüne and Willi Semmler: Default Risk, Asset Pricing, and Debt Control. In: Journal of Financial Econometrics, 3 (2005). - S. 79-106.
doi:10.1093/jjfinec/nbi006

Dragan Nešić and Lars Grüne: Lyapunov-based continuous-time nonlinear controller redesign for sampled-data implementation. In: Automatica, 41 (2005). - S. 1143-1156.
doi:10.1016/j.automatica.2005.03.001

Lars Grüne, Dragan Nešić and Jürgen Pannek: Redesign techniques for nonlinear sampled-data control. In: Oberwolfach Reports, 2 (2005). - S. 584-586.

Lars Grüne and Oliver Junge: A set oriented approach to optimal feedback stabilization. In: Systems & Control Letters, 54 (2005). - S. 169-180.
doi:10.1016/j.sysconle.2004.08.005

Lars Grüne, Mika Kato and Willi Semmler: Solving ecological management problems using dynamic programming. In: Journal of Economic Behavior & Organization, 57 (2005). - S. 448-473.
doi:10.1016/j.jebo.2005.04.002

Fabio Camilli, Lars Grüne and Fabian Wirth: Zubov's method for stochastic control systems. In: IFAC Proceedings Volumes, 38 (2005). - S. 259-264.
doi:10.3182/20050703-6-CZ-1902.00443

Conference Proceedings (reviewed)    ↑ top

Lars Grüne, Dragan Nešić and Jürgen Pannek: Model predictive sampled-data redesign for nonlinear systems. In: Proceedings of the 44th IEEE Conference on Decision and Control. - Piscatawny, NJ : IEEE, 2005. - S. 36-41.
doi:10.1109/CDC.2005.1582127

Lars Grüne and Dragan Nešić: Nonlinear sampled-data controller redesign via Lyapunov functions. In: Petr Horáček (Hrsg.): Preprints of the 16th World Congress of the International Federation of Automatic Control : July 3 - 8, 2005, Prague, Czech Republic. - s.l. : IFAC, 2005.

Robert Baier: Selection Strategies for Set-Valued Runge-Kutta Methods. In: Zhilin Li, Lubin Vulkov, Jerzy Waśniewski (Hrsg.): Numerical Analysis and Its Applications : Third International Conference, NAA 2004, Rousse, Bulgaria, June 29-July 3, 2004 ; Revised Selected Papers. - Berlin ; Heidelberg : Springer, 2005. - S. 149-157.
doi:10.1007/978-3-540-31852-1_16

Lars Grüne and Patrick Saint-Pierre: A set valued characterization of ISDS Lyapunov functions. In: Proceedings of the 44th IEEE Conference on Decision and Control. - Piscatawny, NJ : IEEE, 2005. - S. 4718-4723.
doi:10.1109/CDC.2005.1582127

Articles and Book Chapters (non-reviewed)    ↑ top

Fabio Camilli, Lars Grüne and Fabian Wirth: Calculating the domain of attraction : Zubov's method and extensions. In: Proceedings of the Stability and Control Processes Conference (SCP 2005), dedicated to the 75th birthday anniversary of V. I. Zubov. - St. Petersburg : 2005. - S. 27-36.

Working Papers    ↑ top

Gilbert Perria: SVUPI : Set Valued Univariate Polynomial Interpolation ; White Paper for the SVUPI C++ class package. - Bayreuth, 2005. -

PhD Theses    ↑ top

Tobias Graf:Satellitentransfer von einem Geotransferorbit in einen geostationären Orbit. - Bayreuth: Math. Inst. der Univ. Bayreuth, 2005.
(Dissertation, 2005, Universität Bayreuth, Fakultät für Mathematik und Physik)

Diploma Theses    ↑ top

Marcus von Lossow: Mengenorientierte optimale Steuerung und Fehlerschätzung. - Bayreuth, 2005.
(Diplomarbeit, 2005, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Jürgen Pannek: Modellprädiktive Regelung nichtlinearer sampled-data Systeme. - Bayreuth, 2005.
(Diplomarbeit, 2005, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

2004

Articles in a Journal (reviewed)    ↑ top

Fabio Camilli, Lars Grüne and Fabian Wirth: Construction of Lyapunov functions on the domain of asymptotic nullcontrollability : Numerics. In: IFAC Proceedings Volumes, 37 (2004). - S. 715-720.
doi:10.1016/S1474-6670(17)31309-5

Fabio Camilli, Lars Grüne and Fabian Wirth: Construction of Lyapunov functions on the domain of asymptotic nullcontrollability : Theory. In: IFAC Proceedings Volumes, 37 (2004). - S. 709-714.
doi:10.1016/S1474-6670(17)31308-3

Lars Grüne: Error estimation and adaptive discretization for the discrete stochastic Hamilton-Jacobi-Bellman equation. In: Numerische Mathematik, 99 (2004). - S. 85-112.
doi:10.1007/s00211-004-0555-4

Martin Weiser and Anton Schiela: Function space interior point methods for PDE constrained optimization. In: Proceedings in Applied Mathematics and Mechanics, 4 (2004). - S. 43-46.
doi:10.1002/pamm.200410011

Lars Grüne: Robust asymptotic controllability under time-varying perturbations. In: Stochastics and Dynamics, 4 (2004). - S. 297-316.
doi:10.1142/S0219493704001085

Lars Grüne and Willi Semmler: Using dynamic programming with adaptive grid scheme for optimal control problems in economics. In: Journal of Economic Dynamics and Control, 28 (2004). - S. 2427-2456.
doi:10.1016/j.jedc.2003.11.002

Conference Proceedings (reviewed)    ↑ top

Fabio Camilli, Lars Grüne and Fabian Wirth: Characterizing controllability probabilities of stochastic control systems via Zubov's method. In: B. de Moor, Bart Motmans, J. Willems, Paul van Dooren, Vincent Blondel (Hrsg.): Proceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems (MTNS2004). - Leuven : KU Leuven - ESAT, 2004.

Book Chapters (reviewed)    ↑ top

Lars Grüne: Quantitative aspects of the input-to-state stability property. In: Marcio S. de Queiroz, Michael Malisoff, Peter Wolenski (Hrsg.): Optimal control, stabilization and nonsmooth analysis. - Berlin : Springer, 2004. - S. 215-230.

Working Papers    ↑ top

Robert Baier and N. Dyn: Rotational Metric Average in |R^n. - Bayreuth, 2004. -

Robert Baier: Selection Strategies of Set-Valued Runge-Kutta Methods. - Bayreuth, 2004. -

2003

Articles in a Journal (reviewed)    ↑ top

Lars Grüne: Attraction Rates, Robustness, and Discretization of Attractors. In: SIAM Journal on Numerical Analysis, 41 (2003). - S. 2096-2113.
doi:10.1137/S003614290139411X

Fabio Camilli and Lars Grüne: Characterizing attraction probabilities via the stochastic Zubov equation. In: Discrete and Continuous Dynamical Systems. Series B, 3 (2003). - S. 457-468.
doi:10.3934/dcdsb.2003.3.457

Lars Grüne and Dragan Nešić: Optimization-Based Stabilization of Sampled-Data Nonlinear Systems via Their Approximate Discrete-Time Models. In: SIAM Journal on Control and Optimization, 42 (2003). - S. 98-122.
doi:10.1137/S036301290240258X

Anton Schiela and Folkmar Bornemann: Sparsing in real time simulation. In: ZAMM : Journal of Applied Mathematics and Mechanics = Zeitschrift für angewandte Mathematik und Mechanik, 83 (2003). - S. 637-647.
doi:10.1002/zamm.200310070

Conference Proceedings (reviewed)    ↑ top

Lars Grüne and Peter E. Kloeden: Numerical Schemes of Higher Order for a Class of Nonlinear Control Systems. In: Ivan Dimov, Ivan Lirkov, Svetozar Margenov, Zahari Zlatev (Hrsg.): Numerical Methods and Applications : 5th International Conference, NMA 2002 Borovets, Bulgaria, August 20–24, 2002 ; Revised Papers. - Berlin : Springer, 2003. - S. 213-220.
doi:10.1007/3-540-36487-0_23

Book Chapters (reviewed)    ↑ top

Ilyes Aïssa Chahma: Set-Valued Discrete Approximations of State-Constrained Differential Inclusions. In: Ilyes Aissa Chahma (Hrsg.): Set-Valued Discrete Approximations of State-Constrained Differential Inclusions. - Bayreuth : Mathemat. Inst. der Univ. Bayreuth, 2003. - S. 3-161.

PhD Theses    ↑ top

Ilyes Aïssa Chahma:Set-Valued Discrete Approximations of State-Constrained Differential Inclusions. - Bayreuth: 2003.
(Dissertation, 2003, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Diploma Theses    ↑ top

Gilbert Perria: Gerichtete Polytope : Arithmetische Operationen und Visualisierung mittels CGAL. - Bayreuth, 2003.
(Diplomarbeit, 2003, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl für Angewandte Mathematik)

2002

Books & Monographs    ↑ top

Lars Grüne: Asymptotic Behavior of Dynamical and Control Systems under Perturbation and Discretization. - Berlin : Springer, 2002. - 235 S.
doi:10.1007/b83677

Dynamics, Bifurcations and Control. - Fritz Colonius and Lars Grüne (Hrsg.). - Berlin : Springer, 2002. - 301 S.
doi:10.1007/3-540-45606-6

Articles in a Journal (reviewed)    ↑ top

Lars Grüne: Input-to-state dynamical stability and its Lyapunov function characterization. In: IEEE Transactions on Automatic Control, 47 (2002). - S. 1499-1504.
doi:10.1109/TAC.2002.802761

Nikolai P. Osmolovskii and Frank Lempio: Transformation of quadratic forms to perfect squares for broken extremals. In: Set-Valued Analysis, 10 (2002). - S. 209-232.
doi:10.1023/A:1016588116615

Conference Proceedings (reviewed)    ↑ top

Lars Grüne: Gain preserving Lyapunov functions for perturbed and controlled systems. In: Proceedings of the 41st IEEE Conference on Decision and Control. Volume 1. - Piscataway, NJ : IEEE, 2002. - S. 707-712.
doi:10.1109/CDC.2002.1184587

Fabio Camilli, Lars Grüne and Fabian Wirth: A generalization of Zubov's method to perturbed systems. In: Proceedings of the 41st IEEE Conference on Decision and Control. Volume 3. - Piscataway, NJ : IEEE, 2002. - S. 3518-3523.
doi:10.1109/CDC.2002.1184420

Robert Baier, N. Dyn and E. Farkhi: The Metric Average of 1D Compact Sets. In: Charles K. Chui, Larry L. Schumaker, Joachim Stöckler (Hrsg.): Approximation Theory X : selections of papers that were presented at the Tenth International Conference on Approximation Theory, held in St. Louis, Missouri, in March 2001. Volume 1. Abstract and classical analysis. - Nashville : Vanderbilt Univ. Press, 2002. - S. 9-22.

Lars Grüne: Quantitative aspects of the input-to-state stability property. In: David S. Gilliam, Joachim Rosenthal (Hrsg.): Proceedings of the Fifteenth International Symposium on Mathematical Theory of Networks and Systems, MTNS 2002 : University of Notre Dame, South Bend, Indiana, USA, August 12 - 16, 2002. - South Bend, Indiana : 2002.

Lars Grüne and Dragan Nešić: Stabilization of sampled-data nonlinear systems via their approximate models : an optimization based approach. In: Proceedings of the 41st IEEE Conference on Decision and Control. Volume 1. - Piscataway, NJ : IEEE, 2002. - S. 1934-1939.
doi:10.1109/CDC.2002.1184810

Lars Grüne: Subdivision techniques for the computation of domains of attraction and reachable sets. In: Aleksandr B. Kuržanskij, A. L. Fradkov (Hrsg.): Nonlinear control systems 2001 : (NOLCOS 2001); a proceedings volume from the 5th IFAC Symposium St. Petersburg, Russia, 4 - 6 July 2001. Volume 2. - Oxford : Pergamon, 2002. - S. 762-767.

Book Chapters (reviewed)    ↑ top

Sasha Cyganowski, Lars Grüne and Peter E. Kloeden: MAPLE for Jump-Diffusion Stochastic Differential Equations in Finance. In: Søren S. Nielsen (Hrsg.): Programming Languages and Systems in Computational Economics and Finance. - Boston : Kluwer Academic Publ., 2002. - S. 441-460.

Kurt Chudej, Christof Büskens and Tobias Graf: Solution of a Hard Flight Path Optimization Problem by Different Optimization Codes. In: Breuer Michael ; Durst, F. ; Zenger C. (Hrsg.): High Performance Scientific and Engineering Computing. - Berlin : Springer, 2002. - S. 289-296.
doi:10.1007/978-3-642-55919-8_32

Reports    ↑ top

Robert Baier, Frank Lempio and Evgenii S. Polovinkin: Set-Valued Integration with Negative Weights. - Bayreuth, 2002.

2001

Articles in a Journal (reviewed)    ↑ top

Robert Baier and Elza M. Farkhi: Differences of Convex Compact Sets in the Space of Directed Sets. Part I: The Space of Directed Sets. In: Set-Valued Analysis, 9 (2001). - S. 217-245.
doi:10.1023/A:1012046027626

Robert Baier and Elza M. Farkhi: Differences of Convex Compact Sets in the Space of Directed Sets. Part II: Visualization of Directed Sets. In: Set-Valued Analysis, 9 (2001). - S. 247-272.
doi:10.1023/A:1012009529492

Fabio Camilli, Lars Grüne and Fabian Wirth: A Generalization of Zubov's Method to Perturbed Systems. In: SIAM Journal on Control and Optimization, 40 (2001). - S. 496-515.
doi:10.1137/S036301299936316X

Lars Grüne and Peter E. Kloeden: Higher order numerical schemes for affinely controlled nonlinear systems. In: Numerische Mathematik, 89 (2001). - S. 669-690.
doi:10.1007/s002110000279

Lars Grüne and Peter E. Kloeden: Pathwise Approximation of Random Ordinary Differential Equations. In: BIT Numerical Mathematics, 41 (2001). - S. 711-721.
doi:10.1023/A:1021995918864

Lars Grüne: Persistence of attractors for one-step discretization of ordinary differential equations. In: IMA Journal of Numerical Analysis, 21 (2001). - S. 751-767.
doi:10.1093/imanum/21.3.751

Conference Proceedings (reviewed)    ↑ top

Lars Grüne: Homogeneous control Lyapunov functions for homogeneous control systems. In: Abdelhaq el Jai (Hrsg.): Mathematical Theory of Networks and Systems. - Zielona Gora : Techn. Univ. Press, 2001.

Lars Grüne, Fabio Camilli and Fabian Wirth: Zubov's method for perturbed differential equations. In: Abdelhaq el Jai (Hrsg.): Mathematical Theory of Networks and Systems. - Zielona Gora : Techn. Univ. Press, 2001.

Book Chapters (reviewed)    ↑ top

Lars Grüne: Adaptive grid generation for evolutive Hamilton-Jacobi-Bellman equations. In: Maurizio Falcone, Charalampos Makridakis (Hrsg.): Numerical Methods for Viscosity Solutions and Applications. - Singapore : World Scientific, 2001. - S. 153-172.

Robert Baier and Elza M. Farkhi: Directed Derivatives of Convex Compact-Valued Mappings. In: Nicolas Hadjisavvas, Panos M. Pardalos (Hrsg.): Advances in Convex Analysis and Global Optimization : honoring the memory of C. Caratheodory (1873 - 1950). - Dordrecht : Kluwer Academic Publishers, 2001. - S. 501-514.
doi:10.1007/978-1-4613-0279-7_32

Lars Grüne and Peter E. Kloeden: Discretization, inflation and perturbation of attractors. In: Bernold Fiedler (Hrsg.): Ergodic theory, analysis and efficient simulation of dynamical systems. - Berlin : Springer, 2001. - S. 399-416.
doi:10.1007/978-3-642-56589-2_17

Sasha Cyganowski, Lars Grüne and Peter Kloeden: MAPLE for Stochastic Differential Equations. In: James F. Blowey, John P. Coleman, Alan W. Craig (Hrsg.): Theory and Numerics of Differential Equations : Durham 2000. - Berlin : Springer, 2001. - S. 127-177.
doi:10.1007/978-3-662-04354-7_3

Torsten Fischer and Günter Leugering: On instantaneous control of singularly perturbed hyperbolic equations on graphs. In: Felix Ali Mehmeti, Joachim von Below, Serge Nicaise (Hrsg.): Partial differential equations on multistructures : proceedings of the conference held in Luminy, France. - New York : Dekker, 2001. - S. 69-98.

Günter Leugering and Wigand Rathmann: On modeling, analysis and simulation of optimal control problems for dynamic networks of Euler-Bernoulli and Rayleigh-beams. In: Goong Chen, Irena Lasiecka, Jianxin Zhou (Hrsg.): Control of nonlinear distributed parameter systems. - New York : Dekker, 2001. - S. 199-232.

Fabio Camilli, Lars Grüne and Fabian Wirth: A regularization of Zubov's equation for robust domains of attraction. In: Alberto Isidori, Françoise Lamnabhi-Lagarrigue, Witold Respondek (Hrsg.): Nonlinear control in the Year 2000. Volume 1. - Berlin : Springer, 2001. - S. 277-290.
doi:10.1007/BFb0110220

Habilitation Theses    ↑ top

Lars Grüne: Asymptotic Behavior of Dynamical and Control Systems under Perturbation and Discretization. - Frankfurt/Main, 2001.
(, 2001, Goethe-Universität Frankfurt am Main)

2000

Articles in a Journal (reviewed)    ↑ top

Lars Grüne: Convergence Rates of Perturbed Attracting Sets with Vanishing Perturbation. In: Journal of Mathematical Analysis and Applications, 244 (2000). - S. 369-392.
doi:10.1006/jmaa.2000.6707

Lars Grüne: Homogeneous State Feedback Stabilization of Homogenous Systems. In: SIAM Journal on Control and Optimization, 38 (2000). - S. 1288-1308.
doi:10.1137/S0363012998349303

Nikolai P. Osmolovskii and Frank Lempio: Jacobi conditions and the riccati equation for a broken extremal. In: Journal of Mathematical Sciences, 100 (2000). - S. 2572-2592.
doi:10.1007/BF02673843

Fabio Camilli and Lars Grüne: Numerical Approximation of the Maximal Solutions for a Class of Degenerate Hamilton-Jacobi Equations. In: SIAM Journal Numerical Analysis, 38 (2000). - S. 1540-1560.
doi:10.1137/S003614299834798X

Lars Grüne and Fabian Wirth: On the rate of convergence of infinite horizon discounted optimal value functions. In: Nonlinear Analysis : Real World Applications, 1 (2000). - S. 499-515.
doi:10.1016/S0362-546X(99)00288-6

Lars Grüne: A uniform exponential spectrum for linear flows on vector bundles. In: Journal of Dynamics and Differential Equations, 12 (2000). - S. 435-448.
doi:10.1023/A:1009024610394

Conference Proceedings (reviewed)    ↑ top

Lars Grüne: Attractors under perturbation and discretization. In: Proceedings of the 39th IEEE Conference on Decision and Control. Volume 3. - Piscataway, NJ : IEEE, 2000. - S. 2118-2122.
doi:10.1109/CDC.2000.914107

Lars Grüne and Fabian Wirth: Computing control Lyapunov functions via a Zubov type algorithm. In: Proceedings of the 39th IEEE Conference on Decision and Control. Volume 3. - Piscataway, NJ : IEEE, 2000. - S. 2129-2134.
doi:10.1109/CDC.2000.914109

Frank Lempio: Finite element methods : from ancient to modern times (in Bulgarian). In: Mathematics and Education in Mathematics : Proceedings of Twenty Ninth Spring Conference of the Union of Bulgarian Mathematicians, Lovetch, April 3-6, 2000. - Sofia : 2000. - S. 5-17.

Lars Grüne: Homogeneous state feedback stabilization of homogeneous systems. In: Proceedings of the 39th IEEE Conference on Decision and Control. Volume 4. - Piscataway, NJ : IEEE, 2000. - S. 3409-3414.
doi:10.1109/CDC.2000.912230

Maurizio Falcone, Lars Grüne and Fabian Wirth: A maximum time approach to the computation of robust domains of attraction. In: Bernold Fiedler, Konrad Gröger, Jürgen Sprekels (Hrsg.): International Conference on Differential Equations : Berlin, Germany, 1 - 7 August 1999. Volume 1. - Singapore : World Scientific, 2000. - S. 844-849.

Lars Grüne, E. Sontag and Fabian Wirth: On equivalence of exponential and asymptotic stability under changes of variables. In: Bernold Fiedler, Konrad Gröger, Jürgen Sprekels (Hrsg.): International Conference on Differential Equations. Volume 2. - Singapore : World Scientific, 2000. - S. 850-852.

Book Chapters (reviewed)    ↑ top

Lars Grüne: Computation of the Lyapunov Spectrum (Appendix D). In: Fritz Colonius, Wolfgang Kliemann (Hrsg.): The Dynamics of Control. - Boston ; Basel : Birkhäuser, 2000. - S. 569-596.

Articles and Book Chapters (non-reviewed)    ↑ top

Anton Schiela and Hans Olsson: Mixed-mode integration for real-time simulation. In: Papers of the Modelica Workshop 2000. - Linköping, Sweden : Modelica Association, 2000. - S. 69-75.

1999

Articles in a Journal (reviewed)    ↑ top

Lars Grüne, Eduardo D. Sontag and Fabian Wirth: Asymptotic stability equals exponential stability, and ISS equals finite energy gain - if you twist your eyes. In: Systems & Control Letters, 38 (1999). - S. 127-134.
doi:10.1016/S0167-6911(99)00053-5

Lars Grüne and Fabian Wirth: Feedback stabilization of discrete-time homogeneous semi-linear systems. In: Systems & Control Letters, 37 (1999). - S. 19-30.
doi:10.1016/S0167-6911(98)00110-8

Lars Grüne: Input-to-state stability of exponentially stabilized semilinear control systems with inhomogeneous perturbations. In: Systems & Control Letters, 38 (1999). - S. 27-35.
doi:10.1016/S0167-6911(99)00044-4

Lars Grüne, Martin Metscher and Mario Ohlberger: On Numerical Algorithm and Interactive Visualization for Optimal Control Problems. In: Computing and Visualization in Science, 1 (1999). - S. 221-229.
doi:10.1007/s007910050020

Conference Proceedings (reviewed)    ↑ top

Robert Baier and E. Farkhi: Directed Sets and Differences of Convex Compact Sets. In: Michael P. Polis, Asen L. Dontchev, Peter Kall, Irena Lasiecka, Andrzej W. Olbrot (Hrsg.): Systems modelling and optimization : Proceedings of the 18th IFIP TC7 Conference held in Detroit, Michigan, July 22-25, 1997. - Boca Raton : Chapman & Hall, 1999. - S. 135-143.

Lars Grüne, Eduardo D. Sontag and Fabian Wirth: On the equivalence between asymptotic and exponential stability, and between ISS and finite H-infinity gain. In: Proceedings of the 38th IEEE Conference on Decision and Control. Volume 2. - Piscataway, NJ : IEEE, 1999. - S. 1220-1225.

Lars Grüne: Stabilization by sampled and discrete feedback with positive sampling rate. In: Dirk Aeyels, Françoise Lamnabhi-Lagarrigue, Arjan van der Schaft (Hrsg.): Stability and Stabilization of Nonlinear Systems. - Berlin : Springer, 1999. - S. 165-182.
doi:10.1007/1-84628-577-1_9

Articles and Book Chapters (non-reviewed)    ↑ top

Frank Lempio: Über zwei Jahrtausende Finite Elemente : Von Eudoxos bis zur Hyperthermietherapie. In: Armin Jöllenbeck (Hrsg.): Nichtkommutative Charaktertheorie der symmetrischen Gruppen. - Bayreuth : Mathemat. Inst. der Univ. Bayreuth, 1999. - S. 59-78.

Michael Dellnitz: Verzweigungsphänomene. In: Armin Jöllenbeck (Hrsg.): Nichtkommutative Charaktertheorie der symmetrischen Gruppen. - Bayreuth : Mathemat. Inst. der Univ., 1999. - S. 43-58.

1998

Books & Monographs    ↑ top

Frank Lempio: Numerische Mathematik. Band 2. Methoden der Analysis. - Bayreuth : Mathematisches Inst. der Univ. Bayreuth, 1998. - VI, 263 S.

Articles in a Journal (reviewed)    ↑ top

Lars Grüne: Asymptotic Controllability and Exponential Stabilization of Nonlinear Control Systems at Singular Points. In: SIAM Journal on Control and Optimization, 36 (1998). - S. 1485-1503.
doi:10.1137/S0363012997315919

Frank Lempio: Discrete approximations of differential inclusions. In: GAMM-Mitteilungen, 21 (1998). - S. 103-135.

Lars Grüne: On the Relation between Discounted and Average Optimal Value Functions. In: Journal of Differential Equations, 148 (1998). - S. 65-99.
doi:10.1006/jdeq.1998.3451

Lars Grüne and Fabian Wirth: Stabilization of discrete-time bilinear systems. In: ZAMM : Journal of Applied Mathematics and Mechanics = Zeitschrift für angewandte Mathematik und Mechanik, 78 (1998). - .
doi:10.1002/zamm.19980781535

Conference Proceedings (reviewed)    ↑ top

Fabio Camilli and Lars Grüne: Maximal solutions for a class of singular Hamilton-Jacobi equations. In: Alessandro Beghi (Hrsg.): Mathematical theory of networks and systems : Proceedings of the MTNS 98 Symposium held in Padova, Italy, July 1998. - Padova : Il Poligrafo, 1998. - S. 447-450.

Lars Grüne: Numerical stabilization at singular points. In: Alessandro Beghi (Hrsg.): Mathematical theory of networks and systems : Proceedings of the MTNS 98 Symposium held in Padova, Italy, July 1998. - Padova : Il Poligrafo, 1998. - S. 633-636.

Lars Grüne: On input-to-state stabilizability of semilinear control systems. In: Alessandro Beghi (Hrsg.): Mathematical theory of networks and systems : Proceedings of the MTNS 98 Symposium held in Padova, Italy, July 1998. - Padova : Il Poligrafo, 1998. - S. 181-184.

Lars Grüne and Fabian Wirth: On linear convergence of discounted optimal control problems with vanishing discount rate. In: Alessandro Beghi (Hrsg.): Mathematical theory of networks and systems : Proceedings of the MTNS 98 Symposium held in Padova, Italy, July 1998. - Padova : Il Poligrafo, 1998. - S. 185-188.

Book Chapters (reviewed)    ↑ top

Frank Lempio and V. M. Veliov: Discrete approximations of differential inclusions. In: Bayreuther Mathematische Schriften. - Bayreuth : Math. Inst. der Univ., 1998. - S. 149-232.

Nikolai P. Osmolovskii and Frank Lempio: Jacobi conditions and the riccati equation for a broken extremal. In: Differencialʹnye uravnenija = Differential equations : International Conference Dedicated to the 90th Anniversary of L. S. Pontryagin. - Moskva : Izdatelstvo Moskovskogo Universiteta, 1998. - S. 187-215.

1997

Books & Monographs    ↑ top

Frank Lempio: Numerische Mathematik. Band 1. Methoden der Linearen Algebra. - Bayreuth : Mathematisches Inst. der Univ. Bayreuth, 1997. - VI, 234 S.

Articles in a Journal (reviewed)    ↑ top

Lars Grüne: An adaptive grid scheme for the discrete Hamilton-Jacobi-Bellman equation. In: Numerische Mathematik, 75 (1997). - S. 319-337.
doi:10.1007/s002110050241

Conference Proceedings (reviewed)    ↑ top

Lars Grüne: Discrete Feedback Stabilization of Nonlinear Control Systems at a Singular Point. In: European Control Conference : ECC 97. - Piscataway, NJ : IEEE, 1997. - S. 3200-3203.

Lars Grüne: A spectral condition for asymptotic controllability and stabilization at singular points. In: Proceedings of the 36th IEEE Conference on Decision and Control. Volume 5. - Piscataway, NJ : IEEE, 1997. - S. 4431-4435.
doi:10.1109/CDC.1997.649648

1996

Articles in a Journal (reviewed)    ↑ top

Lars Grüne: Discrete feedback stabilization of semilinear control systems. In: ESAIM : Control, Optimisation and Calculus of Variations, 1 (1996). - S. 207-224.
doi:10.1051/cocv:1996106

Frank Lempio and D. B. Silin: Generalized differential equations with strongly one-sided Lipschitzian right-hand side. In: Differencial’nye Uravnenija : Du ; Ežemesjačnyj Matematičeskij Žurnal, 32 (1996). - S. 1488-1494.

Frank Lempio and D. B. Silin: Generalized differential equations with strongly one-sided Lipschitzian right-hand side. In: Differential Equations, 32 (1996). - S. 1485-1491.

Lars Grüne: Numerical Stabilization of Bilinear Control Systems. In: SIAM Journal on Control and Optimization, 34 (1996). - S. 2024-2050.
doi:10.1137/S0363012994272290

Working Papers    ↑ top

Frank Lempio: Einführung in die Benutzung der Datenbanken MATH und CompactMATH. 2. erneuerte Aufl.. - Bayreuth, 1996. -

PhD Theses    ↑ top

Lars Grüne:Numerische Berechnung des Lyapunov-Spektrums bilinearer Kontrollsysteme. - Berlin: Logos-Verl., 1996. - II, 131 S.
(Dissertation, 1996, Universität Augsburg, Mathematisch-Naturwissenschaftliche Fakultät)

1995

Books & Monographs    ↑ top

Robert Baier: Mengenwertige Integration und die diskrete Approximation erreichbarer Mengen. - Bayreuth : Universität, 1995.

Articles in a Journal (reviewed)    ↑ top

Frank Lempio: Euler's Method Revisited. In: Proceedings of the Steklov Institute of Mathematics, 211 (1995). - S. 429-449.

Frank Lempio: Euler's Method Revisited. In: Trudy Matematičeskogo Instituta Imeni V. A. Steklova, 211 (1995). - S. 473-494.

Book Chapters (reviewed)    ↑ top

Frank Lempio: Set-valued interpolation, differential inclusions, and sensitivity in optimization. In: Roberto Lucchetti, Julian Revalski (Hrsg.): Recent Developments in Well-Posed Variational Problems. - Dordrecht : Springer, 1995. - S. 137-169.
doi:10.1007/978-94-015-8472-2_6

1994

Articles in a Journal (reviewed)    ↑ top

Robert Baier: Extrapolation Methods for the Computation of Set-Valued Integrals and Reachable Sets of Linear Differential Inclusions. In: ZAMM : Journal of Applied Mathematics and Mechanics = Zeitschrift für angewandte Mathematik und Mechanik, 74 (1994). - .
doi:10.1002/zamm.19940740604

Conference Proceedings (reviewed)    ↑ top

Robert Baier and Frank Lempio: Approximating Reachable Sets by Extrapolation Methods. In: Pierre-Jean Laurent, Alain Le Méhauteé, Larry L. Schumaker (Hrsg.): Curves and Surfaces in Geometric Design : Papers from the Second International Conference on Curves and Surfaces, held in Chamonix-Mont-Blanc, France, July 10-16, 1993. - Wellesley, Mass. : Peters, 1994. - S. 9-18.

Robert Baier and Frank Lempio: Computing Aumann's Integral. In: Aleksandr B. Kuržanskij, Vladimir M. Veliov (Hrsg.): Modeling Techniques for Uncertain Systems : Proceedings of a Conference held in Sopron, Hungary, July 6-10, 1992. - Basel : Birkhäuser, 1994. - S. 71-92.

PhD Theses    ↑ top

Robert Baier:Mengenwertige Integration und die diskrete Approximation erreichbarer Mengen. - Bayreuth: Department of Mathematics, 1994. - XIX, 202 S. S.
(Dissertation, 1994, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Diploma Theses    ↑ top

Lars Grüne: Numerische optimale Steuerung und Stabilisierung. - Augsburg, 1994.
(Diplomarbeit, 1994, Universität Augsburg, Mathematisch-Naturwissenschaftliche Fakultät, Institut für Mathematik)

1993

Articles in a Journal (reviewed)    ↑ top

Alois Kastner-Maresch and Frank Lempio: Difference methods with selection strategies for differential inclusions. In: Numerical Functional Analysis and Optimization, 14 (1993). - S. 555-572.
doi:10.1080/01630569308816539

Conference Proceedings (reviewed)    ↑ top

Frank Lempio: Difference methods for monotone differential inclusions. In: Alexander Karmann, Karl Mosler, Martin Schader, Götz Uebe (Hrsg.): Operations Research ’92 : Extended Abstracts of the 17th Symposium on Operations Research held at the Universität der Bundeswehr Hamburg at August 25–28, 1992. - Heidelberg : Physica-Verlag, 1993. - S. 235-236.
doi:10.1007/978-3-662-12629-5_69

Frank Lempio: Modified Euler methods for differential inclusions. In: Aleksandr B. Kurzanskij, Vladimir M. Veliov (Hrsg.): Set-Valued Analysis and Differential Inclusions : A Collection of Papers resulting from a Workshop held in Pamporovo, Bulgaria, September 17-21, 1990. - Basel : Birkhäuser, 1993. - S. 131-148.

PhD Theses    ↑ top

Wolfgang Achtziger:Optimierung von einfach und mehrfach belasteten Stabwerken. - Bayreuth: Univ., 1993. - XVIII, 353 S.
(Dissertation, 1993, Universität Bayreuth, Fakultät für Mathematik und Physik)

1992

Articles in a Journal (reviewed)    ↑ top

Asen Dontchev and Frank Lempio: Difference Methods for Differential Inclusions : A Survey. In: SIAM Review, 34 (1992). - S. 263-294.
doi:10.1137/1034050

Conference Proceedings (reviewed)    ↑ top

Frank Lempio: Difference Methods for Differential Inclusions. In: Werner Krabs (Hrsg.): Modern Methods of Optimization : Proceedings of the Summer School "Modern Methods of Optimization", held at the Schloss Thurnau of the University of Bayreuth, Bayreuth, FRG, October 1 - 6, 1990. - Berlin : Springer, 1992. - S. 236-273.
doi:10.1007/978-3-662-02851-3_8

1991

Conference Proceedings (reviewed)    ↑ top

Frank Lempio: The numerical treatment of differential inclusions. In: Petăr R. Popivanov, S. Tersian (Hrsg.): Proceedings of the International Conference on Differential Equations and Applications : held in Rousse, Bulgaria, August 13-19, 1989. - Rousse : Centre of Mathematics, 1991. - S. 353-364.

Book Chapters (reviewed)    ↑ top

Walter Alt: Parametric optimization with applications to optimal control and sequential quadratic programming. In: Bayreuther Mathematische Schriften. - Bayreuth : Lehrstuhl II für Mathematik, 1991. - S. 1-37.

Habilitation Theses    ↑ top

Walter Alt: Stability of Solutions and the Lagrange-Newton Method for Nonlinear Optimization and Optimal Control Problems. - Bayreuth, 1991. X, 112 S. S.
(, 1991, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl Mathematik V)

1990

PhD Theses    ↑ top

Alois Kastner-Maresch:Diskretisierungsverfahren zur Lösung von Differentialinklusionen. - Bayreuth: 1990. - 106 S.
(Dissertation, 1990, Universität Bayreuth, Fakultät für Mathematik und Physik)

Diploma Theses    ↑ top

Robert Baier: Konvergenz und numerische Realisierung von Mehrgitterverfahren und Diskretisierungsmethoden für Randwertaufgaben zweiter Ordnung. - Bayreuth, 1990. XIX, 202 S.
(Diplomarbeit, 1990, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

1989

PhD Theses    ↑ top

Helga Schramm:Eine Kombination von Bundle- und Trust-Region-Verfahren zur Lösung nichtdifferenzierbarer Optimierungsprobleme. - Bayreuth: Univ., 1989. - VIII, 205 S.
(Dissertation, 1989, Universität Bayreuth, Fakultät für Mathematik und Physik)

1988

Working Papers    ↑ top

Walter Alt and Frank Lempio: Programmbibliothek des Lehrstuhls für Angewandte Mathematik der Universität Bayreuth. - Bayreuth, 1988. -

1986

PhD Theses    ↑ top

Klaus Schilling:Simpliziale Algorithmen zur Berechnung von Fixpunkten mengenwertiger Operatoren. - Trier: WVT Wiss. Verl., 1986. - 190 S.
(Dissertation, 1986, Universität Bayreuth, Fakultät für Mathematik und Physik)

1982

Conference Proceedings (reviewed)    ↑ top

Frank Lempio and Jürgen Zowe: Higher order optimality conditions. In: Bernhard Korte (Hrsg.): Modern applied mathematics : optimization and operations research ; collection of state-of-the-art surveys based on lectures presented at the Summer School "Optimization and Operations Research", held at the University of Bonn, September 14-22, 1979. - Amsterdam : North-Holland, 1982. - S. 147-193.

1981

Habilitation Theses    ↑ top

Uwe Mackenroth: Optimalitätsbedingungen und Dualität für zustandsrestringierte konvexe parabolische Kontrollprobleme. - Bayreuth, 1981.
(, 1981, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

1980

Articles in a Journal (reviewed)    ↑ top

Frank Lempio and Helmut Maurer: Differential stability in infinite-dimensional nonlinear programming. In: Applied Mathematics and Optimization, 6 (1980). - S. 139-152.
doi:10.1007/BF01442889

1979

Conference Proceedings (reviewed)    ↑ top

Frank Lempio: Dualität und Stabilität. In: Rainer Ansorge, Klaus Glashoff, B. Werner (Hrsg.): Numerical Mathematics : Numerische Mathematik; Symposium on the Occasion of the Retirement of Lothar Collatz at the Institute for Applied Mathematics, University of Hamburg, January 25–26, 1979; Symposium anläßlich der Emeritierung von Lothar Collatz am Institut für Angewandte Mathematik, Universität Hamburg, vom 25.–26. Januar 1979. - Basel : Birkhäuser, 1979. - S. 107-124.
doi:10.1007/978-3-0348-6285-1_8

PhD Theses    ↑ top

Walter Alt:Stabilität mengenwertiger Abbildungen mit Anwendungen auf nichtlineare Optimierungsprobleme. - Bayreuth: Universität, 1979. - VII, 107 S.
(Dissertation, 1979, Universität Bayreuth, Fakultät für Mathematik und Physik)

1978

Conference Proceedings (reviewed)    ↑ top

Frank Lempio and Helmut Maurer: Differentiable Perturbations of Infinite Optimization Problems. In: Rudolf Henn, Bernhard Korte, Werner Oettli (Hrsg.): Optimization and Operations Research : Proceedings of a Workshop Held at the University of Bonn, October 2–8, 1977. - Berlin : Springer, 1978. - S. 181-191.

1976

Conference Proceedings (reviewed)    ↑ top

Frank Lempio: Minimumnormprobleme und Zeitoptimale Steuerungen. In: Lothar Collatz, H. Werner, Günter Meinardus (Hrsg.): Numerische Methoden der Approximationstheorie : Numerical Methods of Approximation Theory; Vortragsauszüge der Tagung über numerische Methoden der Approximationstheorie vom 25. bis 31. Mai 1975 im Mathematischen Forschungsinstitut Oberwolfach (Schwarzwald). - Basel : Birkhäuser, 1976. - S. 277-298.
doi:10.1007/978-3-0348-7692-6_14

1974

Conference Proceedings (reviewed)    ↑ top

Frank Lempio: Bemerkungen zur Lagrangeschen Funktionaldifferentialgleichung. In: Julius Albrecht, Lothar Collatz (Hrsg.): Numerische Methoden bei Differentialgleichungen und mit funktionalanalytischen Hilfsmitteln : Vortragsauszüge der Tagung über Funktionalanalysis und numerische Mathematik vom 31. Mai bis 2. Juni 1972 in der Technischen Universität Clausthal-Zellerfeld und über Numerische Behandlung von Differentialgleichungen vom 4. bis 10. Juni 1972 am Mathematischen Forschungsinstitut Oberwolfach. - Basel : Birkhäuser, 1974. - S. 141-146.
doi:10.1007/978-3-0348-6988-1_12

Frank Lempio: A Note on the Slater-Condition. In: L. Collatz, W. Wetterling (Hrsg.): Numerische Methoden bei Optimierungsaufgaben : Vortragsauszüge der Tagung über Numerische Methoden bei Optimierungsaufgaben vom 18. bis 24. November 1973 im Mathematischen Forschungsinstitut Oberwolfach (Schwarzwald). Bd. 2. - Basel : Birkhäuser, 1974. - S. 165.
doi:10.1007/978-3-0348-5321-7_14

Frank Lempio: Zur optimalen Steuerung nichtlinearer Entwicklungen. In: Hans P. Künzi (Hrsg.): VI. Oberwolfach-Tagung über Operations Research : 29. Juli - 4. August 1973 ; Teil 2. - Meisenheim am Glan : Hain, 1974. - S. 35-41.

Book Chapters (reviewed)    ↑ top

Frank Lempio: Anwendungen der Lagrangeschen Multiplikatorenregel auf Approximations-, Variations- und Steuerungsprobleme. In: Julius Albrecht, Lothar Collatz (Hrsg.): Numerische Methoden bei Differentialgleichungen und mit funktionalanalytischen Hilfsmitteln : Vortragsauszüge der Tagung über Funktionalanalysis und numerische Mathematik vom 31. Mai bis 2. Juni 1972 in der Technischen Universität Clausthal-Zellerfeld und über Numerische Behandlung von Differentialgleichungen vom 4. bis 10. Juni 1972 am Mathematischen Forschungsinstitut Oberwolfach. - Basel : Birkhäuser, 1974. - S. 147-157.
doi:10.1007/978-3-0348-6988-1_13

1973

Articles in a Journal (reviewed)    ↑ top

Frank Lempio: Positive Lösungen unendlicher Gleichungs- und Ungleichungssysteme und Lagrange-Multiplikatoren für infinite differenzierbare Optimierungsprobleme. In: ZAMM : Journal of Applied Mathematics and Mechanics = Zeitschrift für angewandte Mathematik und Mechanik, 53 (1973). - S. 61-62.
doi:10.1002/zamm.19730530108

Conference Proceedings (reviewed)    ↑ top

Frank Lempio: Dualität und Optimale Steuerungen. In: Lothar Collatz, W. Wetterling (Hrsg.): Numerische Methoden bei Optimierungsaufgaben : Vortragsauszüge der Tagung über numerische Methoden bei Optimierungsaufgaben vom 14. bis 20. November 1971 im Mathematischen Forschungsinstitut Oberwolfach (Schwarzwald). - Basel : Birkhäuser, 1973. - S. 101-109.
doi:10.1007/978-3-0348-5971-4_9

Frank Lempio: Eine Verallgemeinerung des Satzes von Fritz John. In: R. Henn, H. P. Künzi, H. Schubert (Hrsg.): V. Oberwolfach-Tagung über Operations Research : 13. - 19. August 1972. Band 2. - Meisenheim am Glan : Hain, 1973. - S. 239-247.

1972

Conference Proceedings (reviewed)    ↑ top

Frank Lempio: Differenzierbare Optimierung mit unendlich vielen Nebenbedingungen. In: Rudolf Henn, H. P. Künzi, H. Schubert (Hrsg.): IV. Oberwolfach-Tagung über Operations Research : 25. - 31. Juli 1971. Bd. 2. - Meisenheim am Glan : Hain, 1972. - S. 265-273.

Habilitation Theses    ↑ top

Frank Lempio: Tangentialmannigfaltigkeiten und infinite Optimierung. - Hamburg, 1972. 73 S.
(, 1972, Universität Hamburg, Institut für Angewandte Mathematik)

1971

Articles in a Journal (reviewed)    ↑ top

Frank Lempio: Lineare Optimierung in unendlichdimensionalen Vektorräumen. In: Computing, 8 (1971). - S. 284-290.
doi:10.1007/BF02234110

PhD Theses    ↑ top

Frank Lempio:Separation und Optimierung in linearen Räumen. - Hamburg: 1971. - 52 S.
(Dissertation, 1971, Universität Hamburg)