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Overview
Overview
Prof. Lars Grüne Prof. Dr. Lars Grüne
Prof. Lars Grüne

Department of Mathematics
Chair of Applied Mathematics


I am Professor of Applied Mathematics and Head of the Chair of Applied Mathematics at the University of Bayreuth.

Further Information

  • Contact
  • Publications
  • Teaching
  • NMPC Book
  • MODUS
  • MTNS 2022
  • CV and Editorial Work
  • Google Scholar Profile
  • Lecture Notes and Theses
  • ODE Book
  • MCSS (Homepage, Onlineausgabe)
  • Elgersburg Workshops
  • Prof. Lars Grüne

    Department of Mathematics
    Chair of Applied Mathematics


    Research Interests

    • My research interests lie in nonlinear systems and control theory, with a focus on numerical and optimisation-based methods. This includes, for instance, model predictive control, numerical and AI-based methods for Hamilton-Jacobi-Bellman PDEs, and the long-time dynamics of nonlinear systems. I also work on applications of these methods in engineering, science and economy.
    • Below you find a short CV and information about my editorial work for journals, book series and conferences. Please see the separate pages for publications and research projects.

    Short CV

    Further professional activities

    Awards

    Editorial Work

    Journals and Book Series

    Conferences and Workshops

    Prof. Lars Grüne

    Department of Mathematics
    Chair of Applied Mathematics


    Publications

    2021

    Books    ↑ 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 (reviewed)    ↑ top

    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

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

    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

    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

    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

    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

    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

    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

    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

    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

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

    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

    Working Papers & Preprints    ↑ top

    Johannes Köhler, Melanie Zeilinger and Lars Grüne: Stability and performance analysis of NMPC : Detectable stage costs and general terminal costs.. - Bayreuth ; Zürich, 2021-10-21. - 16 S.

    Lars Grüne and Thomas Meurer: Finite-dimensional output stabilization of linear diffusion-reaction systems : a small-gain approach.. - Bayreuth ; Kiel, 2021-04-13. - 13 S.

    Lars Grüne, David Muff and Manuel Schaller: Conditions for strict dissipativity of infinite-dimensional generalized linear-quadratic problems.. - Bayreuth ; Ilmenau, 2021-04-20. - 9 S.

    Chengshuai Wu, Lars Grüne, Thomas Kriecherbauer and Michael Margaliot: Behavior of totally positive differential systems near a periodic solution.. - Bayreuth ; Tel Aviv, 2021-01-18. -

    Lars Grüne: Dissipativity and optimal control.. - Bayreuth, 2021-01-29. -

    2020

    Articles (reviewed)    ↑ top

    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

    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

    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

    Navid Noroozi, Roman Geiselhart, Lars Grüne and Fabian R. 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

    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

    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

    Book Chapters (reviewed)    ↑ top

    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

    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

    Working Papers & Preprints    ↑ top

    Timm Faulwasser and Lars Grüne: Turnpike Properties in Optimal Control : An Overview of Discrete-Time and Continuous-Time Results.. - Bayreuth, 2020-11-27. - 31 S.

    Lars Grüne, Manuel Schaller and Anton Schiela: Efficient MPC for parabolic PDEs with goal oriented error estimation.. - Bayreuth, 2020-07-28. - 26 S.

    Timm Faulwasser, Lars Grüne, Jukka-Pekka Humaloja and Manuel Schaller: The interval turnpike property for adjoints.. - Bayreuth, 2020-05-25. - 22 S.

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

    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.. - Bayreuth ; Kiel ; Konstanz, 2020-01. - 26 S.

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

    2019

    Articles (reviewed)    ↑ top

    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

    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

    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

    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

    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 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

    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

    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

    Lars Grüne and Simon Pirkelmann: Economic Model Predictive Control for Time-Varying System : Performance and Stability Results. In: Optimal Control Applications and Methods, 41 (2019). - S. 42-64.
    doi:10.1002/oca.2492

    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

    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

    Working Papers & Preprints    ↑ 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

    Andreas Ernst, Lars Grüne and Janosch Rieger: A linear programming approach to approximating infinite time reachable sets of strictly stable linear control systems.. - Melbourne, 2019-02. - 15 S.

    2018

    Books    ↑ top

    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 (reviewed)    ↑ top

    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). - S. 1-2.
    doi:10.1002/pamm.201800036

    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

    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

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

    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

    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

    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

    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

    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

    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

    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

    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

    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, USA : 2018. - S. 718-724.
    doi:10.1109/CDC.2018.8618663

    Articles, Proceedings and Book Chapters (non-reviewed)    ↑ top

    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.

    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.

    2017

    Books    ↑ top

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

    Articles (reviewed)    ↑ top

    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

    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

    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

    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

    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

    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

    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

    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

    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

    Further Publications    ↑ top

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

    2016

    Books    ↑ top

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

    Articles (reviewed)    ↑ top

    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

    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

    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

    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

    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

    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

    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

    Book Chapters (reviewed)    ↑ top

    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

    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, 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.

    2015

    Articles (reviewed)    ↑ top

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

    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. Series A, 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

    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

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

    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

    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

    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

    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

    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

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

    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.

    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

    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

    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

    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

    2014

    Articles (reviewed)    ↑ top

    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

    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

    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

    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

    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

    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

    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

    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, The Netherlands : University of 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 : University of 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.

    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.

    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, USA : Institute of Electrical and Electronics Engineers (IEEE), 2014. - S. 2740-2745.
    doi:10.1109/CDC.2014.7039809

    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 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

    Huijuan Li, Robert Baier, Lars Grüne, Sigurdur Freyr Hafstein and Fabian Wirth: Computation of local ISS Lyapunov functions via linear programming. In: MTNS 2014 : Proceedings on the 21st International Symposium on Mathematical Theory of Networks and Systems, July 7--11, 2014, University of Groningen. - Groningen, The Netherlands : 2014. - S. 1189-1195.

    Book Chapters (reviewed)    ↑ top

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

    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

    Articles, Proceedings and Book Chapters (non-reviewed)    ↑ top

    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.

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

    Lars Grüne, Sandra Hirche, Oliver Junge, Péter 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, Chapter 5. - Cham ; Heidelberg ; New York ; Dordrecht ; London : Springer, 2014. - S. 169-261.
    doi:10.1007/978-3-319-01131-8_5

    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. Chapter 4.. - Cham ; Heidelberg ; New York ; Dordrecht ; London : Springer, 2014. - S. 111-167.
    doi:10.1007/978-3-319-01131-8_4

    2013

    Articles (reviewed)    ↑ top

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

    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

    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

    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.

    2012

    Articles (reviewed)    ↑ top

    Maria L. 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

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

    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

    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

    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

    Conference Proceedings (reviewed)    ↑ top

    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

    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 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 (e-book). - Vienna, Austria : Vienna University of Technology, 2012. - S. 2076-2095.

    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

    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, Proceedings and Book Chapters (non-reviewed)    ↑ top

    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.

    2011

    Books    ↑ top

    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 (reviewed)    ↑ top

    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

    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

    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

    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

    Conference Proceedings (reviewed)    ↑ 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

    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

    2010

    Articles (reviewed)    ↑ top

    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

    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, 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

    Robert Baier, Lars Grüne and S. F. 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, 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

    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

    Conference Proceedings (reviewed)    ↑ top

    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

    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.

    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.

    Book Chapters (reviewed)    ↑ top

    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

    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, 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

    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

    2009

    Books    ↑ 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 (reviewed)    ↑ top

    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

    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

    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

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

    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

    Conference Proceedings (reviewed)    ↑ top

    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.

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

    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

    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, New Jersey : IEEE, 2009. - S. 91-96.
    doi:10.23919/ECC.2009.7074385

    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.

    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

    2008

    Articles (reviewed)    ↑ top

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

    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

    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

    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

    Conference Proceedings (reviewed)    ↑ top

    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 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 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: 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 ; Heidelberg : Springer, 2008. - S. 52-65.
    doi:10.1007/978-3-540-78827-0_5

    2007

    Articles (reviewed)    ↑ top

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

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

    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

    Conference Proceedings (reviewed)    ↑ top

    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 ; Heidelberg : Springer, 2007. - S. 105-113.
    doi:10.1007/978-3-540-72699-9_8

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

    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, USA : IEEE Service Center, 2007. - S. 702-707.
    doi:10.1109/CDC.2007.4434428

    2006

    Articles (reviewed)    ↑ top

    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

    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

    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

    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

    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

    Conference Proceedings (reviewed)    ↑ top

    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.

    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, 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.

    2005

    Articles (reviewed)    ↑ top

    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 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

    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

    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

    Lars Grüne, Dragan Nešić and Jürgen Pannek: Redesign techniques for nonlinear sampled-data control. In: Oberwolfach Reports, 11 (2005). - S. 584-586.

    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 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

    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

    Conference Proceedings (reviewed)    ↑ top

    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, USA : Institute of Electrical and Electronics Engineers, 2005. - S. 4718-4723.
    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.

    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, USA : Institute of Electrical and Electronics Engineers, 2005. - S. 36-41.
    doi:10.1109/CDC.2005.1582127

    Articles, Proceedings 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.

    2004

    Articles (reviewed)    ↑ top

    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

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

    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

    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

    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

    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 ; Heidelberg : Springer, 2004. - S. 215-230.

    2003

    Articles (reviewed)    ↑ top

    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

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

    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 ; Heidelberg : Springer, 2003. - S. 213-220.
    doi:10.1007/3-540-36487-0_23

    2002

    Books    ↑ top

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

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

    Articles (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

    Conference Proceedings (reviewed)    ↑ top

    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.

    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 Service Center, 2002. - S. 1934-1939.
    doi:10.1109/CDC.2002.1184810

    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.

    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 Service Center, 2002. - S. 3518-3523.
    doi:10.1109/CDC.2002.1184420

    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 Service Center, 2002. - S. 707-712.
    doi:10.1109/CDC.2002.1184587

    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.

    2001

    Articles (reviewed)    ↑ top

    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

    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

    Conference Proceedings (reviewed)    ↑ top

    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.

    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.

    Book Chapters (reviewed)    ↑ top

    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

    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 ; Heidelberg : Springer, 2001. - S. 127-177.
    doi:10.1007/978-3-662-04354-7_3

    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 ; Heidelberg : Springer, 2001. - S. 399-416.
    doi:10.1007/978-3-642-56589-2_17

    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.

    Thesis    ↑ 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 (reviewed)    ↑ top

    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: 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: 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

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

    Conference Proceedings (reviewed)    ↑ top

    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.

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

    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 Publ., 2000. - S. 2129-2134.
    doi:10.1109/CDC.2000.914109

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

    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.

    1999

    Articles (reviewed)    ↑ top

    Lars Grüne, Eduardo D. Sontag and Fabian R. 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: 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

    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

    Conference Proceedings (reviewed)    ↑ top

    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

    Lars Grüne, Eduardo D. Sontag and Fabian R. 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 Publ., 1999. - S. 1220-1225.

    1998

    Articles (reviewed)    ↑ top

    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

    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: 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

    Conference Proceedings (reviewed)    ↑ top

    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.

    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: 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.

    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.

    1997

    Articles (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: 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 Service Center, 1997. - S. 4431-4435.
    doi:10.1109/CDC.1997.649648

    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.

    1996

    Articles (reviewed)    ↑ top

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

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

    Thesis    ↑ 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

    Thesis    ↑ top

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

    Prof. Lars Grüne

    Department of Mathematics
    Chair of Applied Mathematics


    Prof. Dr. Lars Grüne
    Professor for Applied Mathematics, Head of the Chair

    University of Bayreuth
    Chair of Applied Mathematics
    Universitätsstraße 30
    95440 Bayreuth, Germany

    Phone: +49 (0)921 55-3270
    E-mail: lars.gruene@uni-bayreuth.de

    Fax: +49 (0)921 55-5361
    Room: 3.2 O1 532
    Building: NW II, main campus

    Consultation hours are currently held via phone or video conference. Appointments can be arranged via email.

    Webmaster: Lars Grüne

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