Team > Prof. Dr. Lars Grüne

Mathematisches Institut
Lehrstuhl für Angewandte Mathematik

Ich bin Professor für Angewandte Mathematik und Leiter der Lehrstuhls für Angewandte Mathematik an der Universität Bayreuth.

Aktuelles

• Im Wintersemester 2025/2026 biete ich gemeinsam mit Prof. Schiela ein Hauptseminar mit Themen aus Numerik, Optimierung, Kontrolltheorie und Gewöhnlichen Differentialgleichungen (auch für Lehramtsstudierende) an. Bitte melden Sie sich bei Interesse bis Ende Juli persönlich oder per E-Mail bei mir.
• Die Aufzeichnung meines Vortrags in der FAU Mod Lecture Series am 3. Juni 2025 ist nun hier verfügbar.
• Im September 2025 bin ich Invited Distinguished Speaker bei der African Conference on Machine Learning, Optimization & Applications
• Ich wurde zum SIAM Fellow in the class of 2025 ernannt.

• Weitere Neuigkeiten finden Sie in den News auf der Homepage des Lehrstuhls.

Weitere Informationen

Mathematisches Institut
Lehrstuhl für Angewandte Mathematik

sollte überschrieben werden

Mathematisches Institut
Lehrstuhl für Angewandte Mathematik

Publikationen

2025

Bücher    ↑ top

Model Predictive Control : Engineering Methods for Economists. - Aris Daniilidis, Lars Grüne, Josef Haunschmied und Gernot Tragler (Hrsg.). - Cham, Switzerland : Springer, 2025. - 198 S.

Artikel (referiert)    ↑ top

Jonas Schießl, Michael Heinrich Baumann, Timm Faulwasser und Lars Grüne: On the relationship between stochastic turnpike and dissipativity notions. In: IEEE Transactions on Automatic Control, 70 (2025). - S. 3527-3539.
doi:10.1109/TAC.2024.3504352

Ruchuan Ou, Jonas Schießl, Michael Heinrich Baumann, Lars Grüne und Timm Faulwasser: A polynomial chaos approach to stochastic LQ optimal control : Error bounds and infinite-horizon results. In: Automatica, 174 (2025). - .
doi:10.1016/j.automatica.2025.112117

Lars Grüne, Mario Sperl und Debasish Chatterjee: Representation of practical nonsmooth control Lyapunov functions by piecewise affine functions and neural networks. In: Systems & Control Letters, 202 (2025). - .
doi:10.1016/j.sysconle.2025.106103

Jonas Schießl, Ruchuan Ou, Timm Faulwasser, Michael Heinrich Baumann und Lars Grüne: Turnpike and Dissipativity in Generalized Discrete-Time Stochastic Linear-Quadratic Optimal Control. In: SIAM Journal on Control and Optimization, 63 (2025). - S. 1432-1457.
doi:10.1137/23M160089X

Lea Bold, Lars Grüne, Manuel Schaller und Karl Worthmann: Data-driven MPC with stability guarantees using extended dynamic mode decomposition. In: IEEE Transactions on Automatic Control, 70 (2025). - S. 534-541.
doi:10.1109/TAC.2024.3431169

Diskussionspapiere & Preprints    ↑ top

Shreyas Gururaj, Lars Grüne, Wojciech Samek, Sebastian Lapuschkin und Leander Weber: Relevance-driven Input Dropout : an Explanation-guided Regularization Technique.. - Berlin ; Bayreuth, 2025-05-27. - 21 S.
doi:10.48550/arXiv.2505.21595

Aliza Ehrman, Thomas Kriecherbauer, Lars Grüne und Michael Margaliot: Negative feedback and oscillations in a model for mRNA translation.. - Bayreuth ; Tel Aviv, 2025-04-16. - 17 S.
doi:10.48550/arXiv.2504.12926

Jonas Schießl, Ruchuan Ou, Michael Heinrich Baumann, Timm Faulwasser und Lars Grüne: Towards turnpike-based performance analysis of risk-averse stochastic predictive control.. - Bayreuth, 2025-04. -
doi:10.48550/arXiv.2504.00701

Mario Sperl, Luca Saluzzi, Dante Kalise und Lars Grüne: Separable approximations of optimal value functions and their representation by neural networks.. - Bayreuth, 2025-02-12. - 20 S.
doi:10.48550/arXiv.2502.08559

Mario Sperl, Jonas Mysliwitz und Lars Grüne: On the Existence and Neural Network Representation of Separable Control Lyapunov Functions.. - Bayreuth, 2025. - 11 S.
doi:10.15495/EPub_UBT_00008463

Julian D. Schiller, Lars Grüne und Matthias A. Müller: Performance guarantees for optimization-based state estimation using turnpike properties.. - Bayreuth ; Hannover, 2025-01-30. - 16 S.
doi:10.48550/arXiv.2501.18385

Lars Grüne, Kilian Pioch, Thomas Kriecherbauer und Michael Margaliot: Random attraction in TASEP with time-varying hopping rates.. - Bayreuth ; Tel Aviv, 2025-01-28. - 20 S.
doi:10.48550/arXiv.2501.16777

Lars Grüne und Mario Zanon: Stabilization of strictly pre-dissipative nonlinear receding horizon control by terminal costs.. - Bayreuth ; Lucca, 2025-01-09. - 7 S.
doi:10.48550/arXiv.2412.13538

Mario Zanon und Lars Grüne: Stabilization of strictly pre-dissipative receding horizon linear quadratic control by terminal costs.. - Bayreuth ; Lucca, 2025-01-07. - 13 S.
doi:10.48550/arXiv.2501.03691

2024

Artikel (referiert)    ↑ top

David Angeli und 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 und 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

Rami Katz, Thomas Kriecherbauer, Lars Grüne und 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 und 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

Artikel in Konferenzbänden (referiert)    ↑ top

Jonas Schießl, Ruchuan Ou, Timm Faulwasser, Michael Heinrich Baumann und Lars Grüne: Near-optimal performance of stochastic economic MPC. In: 2024 IEEE 63rd Conference on Decision and Control (CDC) : Proceedings. - Milan, Italy : 2024. - S. 2565-2571.
doi:10.1109/CDC56724.2024.10886281

Diskussionspapiere & Preprints    ↑ top

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

2023

Artikel (referiert)    ↑ top

Andreas Ernst, Lars Grüne und 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 und 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 und 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 und 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 und 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

Ron Ofir, Thomas Kriecherbauer, Lars Grüne und 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

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

Artikel in Konferenzbänden (referiert)    ↑ top

Mario Sperl, Luca Saluzzi, Lars Grüne und 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

Lisa Krügel, Timm Faulwasser und 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

Jonas Schießl, Ruchuan Ou, Timm Faulwasser, Michael Heinrich Baumann und 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). - Piscataway, NJ : IEEE, 2023. - S. 2790-2795.
doi:10.1109/CDC49753.2023.10384081

Buchkapitel (referiert)    ↑ top

Philipp Braun, Lars Grüne, Christopher Kellett und 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

2022

Bücher    ↑ 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 und Karl Worthmann (Hrsg.). - Bayreuth : 2022. - 815 S.
doi:10.15495/EPub_UBT_00006809

Artikel (referiert)    ↑ top

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 und 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 und 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

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

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

Julian Andrej, Lars Grüne, Luca Mechelli, Thomas Meurer, Simon Pirkelmann und 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 und 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

Buchkapitel (referiert)    ↑ top

Timm Faulwasser und 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

weitere Publikationen    ↑ top

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

2021

Bücher    ↑ top

Philipp Braun, Lars Grüne und 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

Artikel (referiert)    ↑ top

Lars Grüne, Manuel Schaller und 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

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 und 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 und 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 und 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 und 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

Lars Grüne und 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

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 und 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 und 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 und 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

Arthur Fleig und 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 und 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 und 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 und 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

Lars Grüne und 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

Artikel in Konferenzbänden (referiert)    ↑ top

Chengshuai Wu, Lars Grüne, Thomas Kriecherbauer und 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 und 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

2020

Artikel (referiert)    ↑ top

Navid Noroozi, Roman Geiselhart, Lars Grüne und 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 und 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 und 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 und 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 und Stefan Volkwein: Multiobjective model predictive control of a parabolic advection-diffusion-reaction equation. In: Mathematics, 8 (2020). - .
doi:10.3390/math8050777

Alfio Borzì und 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 und 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

Buchkapitel (referiert)    ↑ top

Lars Grüne und 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

Diskussionspapiere & Preprints    ↑ top

Michael Heinrich Baumann, Michaela Baumann, Lars Grüne und 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 und Jörg Müller: An Optimal Control Model of Mouse Pointing Using the LQR.. - Bayreuth, 2020-02-26. -

Lars Grüne, Manuel Schaller und 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.

2019

Artikel (referiert)    ↑ top

Simon Pirkelmann, David Angeli und 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

Christopher M. Kellett, Steven R. Weller, Timm Faulwasser, Lars Grüne und 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 und 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

Lars Grüne und 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 und 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 und 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 und 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 und 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 und 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

Artikel in Konferenzbänden (referiert)    ↑ top

Michael Heinrich Baumann und 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.

Buchkapitel (referiert)    ↑ top

Aneel Tanwani, Debasish Chatterjee und 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

Diskussionspapiere & Preprints    ↑ top

Michael Heinrich Baumann, Michaela Baumann, Lars Grüne und 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

2018

Bücher    ↑ top

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

Artikel (referiert)    ↑ top

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

Timm Faulwasser, Lars Grüne und 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 und 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 und 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 und 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

Navid Noroozi, Roman Geiselhart, Lars Grüne, Björn Rüffer und 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 und Lars Grüne: Noncooperative Model Predictive Control for Affine-Quadratic Games. In: Proceedings in Applied Mathematics and Mechanics, 18 (2018). - .
doi:10.1002/pamm.201800036

Vladimir Gaitsgory, Lars Grüne, Matthias Höger, Christopher M. Kellett und 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

Artikel in Konferenzbänden (referiert)    ↑ top

Ivan Yegorov, Peter Dower und 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 und 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

Buchkapitel (referiert)    ↑ top

Lars Grüne, Simon Pirkelmann und 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

Philipp Braun, Lars Grüne und 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

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

Artikel und Buchkapitel (nicht referiert)    ↑ top

Lars Grüne und 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 und 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.

2017

Bücher    ↑ top

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

Artikel (referiert)    ↑ top

Lars Grüne und 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

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

Lars Grüne, Christopher M. Kellett und 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

Mario Zanon, Lars Grüne und 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

Michael Heinrich Baumann und 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

Buchkapitel (referiert)    ↑ top

Lars Grüne und 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 und 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

Philipp Braun, Lars Grüne und 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 und 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

weitere Publikationen    ↑ top

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

2016

Bücher    ↑ top

Lars Grüne und 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

Artikel (referiert)    ↑ 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

Huijuan Li und 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 und 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 und 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 und 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

Lars Grüne, Christopher M. Kellett und 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

Lars Grüne und 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

Buchkapitel (referiert)    ↑ top

Philipp Braun, Timm Faulwasser, Lars Grüne, Christopher M. Kellett, Steven R. Weller und 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 und 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 und 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

2015

Artikel (referiert)    ↑ top

Huijuan Li, Robert Baier, Lars Grüne, Sigurdur Freyr Hafstein und 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

Karl Worthmann, Christopher M. Kellett, Philipp Braun, Lars Grüne und 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 und 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 und 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 und 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: Open problem : Strict Dissipativity and the Turnpike Property. In: Oberwolfach Reports, 12 (2015). - S. 651-652.
doi:10.4171/OWR/2015/12

Lars Grüne und 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

Vladimir Gaitsgory, Lars Grüne und 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 und 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 und 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 und 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 und 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

Artikel in Konferenzbänden (referiert)    ↑ top

Philipp Braun, Lars Grüne, Christopher M. Kellett, Steven R. Weller und 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.

Matthias A. Müller und 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 und 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 und 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 und 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

2014

Artikel (referiert)    ↑ top

Lars Grüne und 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

Alfred Greiner, Lars Grüne und 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

Tobias Damm, Lars Grüne, Marleen Stieler und 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 und 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

Karl Worthmann, Marcus Reble, Lars Grüne und 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 und 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

Artikel in Konferenzbänden (referiert)    ↑ top

Karl Worthmann, Christopher M. Kellett, Lars Grüne und 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

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

Lars Grüne und 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

Lars Grüne und 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 und 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

Lars Grüne und 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 und 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 und 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 und 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.

Buchkapitel (referiert)    ↑ 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

Artikel und Buchkapitel (nicht referiert)    ↑ 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 und 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 und 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 und 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

Lars Grüne und 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.

2013

Artikel (referiert)    ↑ top

Nils Altmüller und 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

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

Artikel in Konferenzbänden (referiert)    ↑ top

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

Buchkapitel (referiert)    ↑ top

Lars Grüne und 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.

2012

Artikel (referiert)    ↑ top

Nils Altmüller und 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

Robert Baier, Lars Grüne und 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

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 und 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

Artikel in Konferenzbänden (referiert)    ↑ top

Lars Grüne, Jürgen Pannek, Martin Seehafer und 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

Lars Grüne und 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 und 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

Buchkapitel (referiert)    ↑ top

Lars Grüne und 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

Artikel und Buchkapitel (nicht referiert)    ↑ top

Vryan Gil Palma und 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.

2011

Bücher    ↑ top

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

Artikel (referiert)    ↑ top

Lars Grüne und 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

Iasson Karafyllis und 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 und 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

Rolf Findeisen, Lars Grüne, Jürgen Pannek und 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

Artikel in Konferenzbänden (referiert)    ↑ top

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

Buchkapitel (referiert)    ↑ top

Lars Grüne und 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

2010

Artikel (referiert)    ↑ top

Lars Grüne und 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 und 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 und 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

Lars Grüne, Marcus von Lossow, Jürgen Pannek und 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 und 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

Artikel in Konferenzbänden (referiert)    ↑ top

Lars Grüne und 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 und 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.

Nils Altmüller, Lars Grüne und 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

Buchkapitel (referiert)    ↑ top

Alfred Greiner, Lars Grüne und 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

Lars Grüne, Marcus von Lossow und 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 und 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 und 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

2009

Bücher    ↑ 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

Artikel (referiert)    ↑ 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

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

Willi Semmler, Lars Grüne und 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

Lars Grüne und 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 und 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

Artikel in Konferenzbänden (referiert)    ↑ top

Lars Grüne und 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.

Fabio Camilli, Lars Grüne und 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

Iasson Karafyllis und 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 und 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 und 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.

Buchkapitel (referiert)    ↑ top

Lars Grüne, Sebastian Sager, Frank Allgöwer, Hans Georg Bock und 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

2008

Artikel (referiert)    ↑ top

Lars Grüne und 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 und 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 und 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

Lars Grüne und 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 und 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 und 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

Artikel in Konferenzbänden (referiert)    ↑ top

Lars Grüne und 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 und 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 und 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

2007

Artikel (referiert)    ↑ top

Lars Grüne und 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 und 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 und 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 und 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 und 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

Artikel in Konferenzbänden (referiert)    ↑ top

Lars Grüne und 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

Lars Grüne, Dragan Nešić und 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

2006

Artikel (referiert)    ↑ top

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

Artikel in Konferenzbänden (referiert)    ↑ top

Lars Grüne, Dragan Nešić und 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 und 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 und 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.

2005

Artikel (referiert)    ↑ top

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

Lars Grüne und 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 und 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 und 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

Artikel in Konferenzbänden (referiert)    ↑ top

Lars Grüne, Dragan Nešić und 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 und 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.

Lars Grüne und 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

Artikel und Buchkapitel (nicht referiert)    ↑ top

Fabio Camilli, Lars Grüne und 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.

2004

Artikel (referiert)    ↑ top

Fabio Camilli, Lars Grüne und 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 und 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

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

Lars Grüne und 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

Artikel in Konferenzbänden (referiert)    ↑ top

Fabio Camilli, Lars Grüne und 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.

Buchkapitel (referiert)    ↑ 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.

2003

Artikel (referiert)    ↑ 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 und 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 und 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

Artikel in Konferenzbänden (referiert)    ↑ top

Lars Grüne und 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

2002

Bücher    ↑ 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 und Lars Grüne (Hrsg.). - Berlin : Springer, 2002. - 301 S.
doi:10.1007/3-540-45606-6

Artikel (referiert)    ↑ 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

Artikel in Konferenzbänden (referiert)    ↑ 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 und 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

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 und 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.

Buchkapitel (referiert)    ↑ top

Sasha Cyganowski, Lars Grüne und 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.

2001

Artikel (referiert)    ↑ top

Fabio Camilli, Lars Grüne und 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 und 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 und 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

Artikel in Konferenzbänden (referiert)    ↑ 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 und 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.

Buchkapitel (referiert)    ↑ 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.

Lars Grüne und 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 und 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

Fabio Camilli, Lars Grüne und 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

Abschlussarbeit    ↑ top

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

2000

Artikel (referiert)    ↑ 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

Fabio Camilli und 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 und 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

Artikel in Konferenzbänden (referiert)    ↑ 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 und 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

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 und 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 und 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.

Buchkapitel (referiert)    ↑ 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.

1999

Artikel (referiert)    ↑ top

Lars Grüne, Eduardo D. Sontag und 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 und 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 und 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

Artikel in Konferenzbänden (referiert)    ↑ top

Lars Grüne, Eduardo D. Sontag und 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

1998

Artikel (referiert)    ↑ 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

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 und 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

Artikel in Konferenzbänden (referiert)    ↑ top

Fabio Camilli und 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 und 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.

1997

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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

Artikel in Konferenzbänden (referiert)    ↑ 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

Artikel (referiert)    ↑ 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

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

Abschlussarbeit    ↑ top

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

1994

Abschlussarbeit    ↑ top

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

Mathematisches Institut
Lehrstuhl für Angewandte Mathematik

Prof. Dr. Lars Grüne
Professor für Angewandte Mathematik, Lehrstuhlinhaber

Universität Bayreuth
Lehrstuhl für Angewandte Mathematik
95440 Bayreuth

Telefon: 0921 / 55-3270
E-Mail: lars.gruene@uni-bayreuth.de

Fax: 0921 / 55-5361
Raum: 3.2 O1 532
Gebäude: NW II, Campus

Sprechstunden können jederzeit per E-Mail vereinbart werden, entweder an der Universität oder per Videokonferenz. In den folgenden Zeiträumen werde ich wegen Dienstreisen oder Urlaub länger abwesend sein: 3.-4. Juni 2025, 10.-20. Juni 2025 (U), 16.-18. Juli 2025, 28. Juli-1. August 2025, 18.-29. August 2025 (U), 8.-12. September 2025, 22.-26. September 2025. Außer in den mit (U) markierten Urlaubsterminen bin ich in diesen Zeiten per E-Mail erreichbar.