Team > Prof. Dr. 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.

News

• In the Winter Semester 2025/2026 I will offer a Hauptseminar on topics from Numerics, Optimisation, Control Theory and Ordinary Differential Equations, jointly with Prof. Schiela. Please contact me before the end of July if you are interested to participate.
• The recording of my talk in the FAU Mod Lecture Series on 3 June 2025 is now available here.
• In September 2025 I will be Invited Distinguished Speaker at the African Conference on Machine Learning, Optimization & Applications
• I was appointed as a SIAM Fellow in the class of 2025.

• Further announcements can be found in the news on the homepage of the chair

Further Information

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

• April 2002 until today: Professor of Applied Mathematics, since August 2009 also Head of the Chair of Applied Mathematics within the Mathematical Institute of the Universität Bayreuth
• September 2015 until February 2016: Visiting Professor at the Schools of Electrical Engineering and Computer Science and Mathematical and Physical Sciences of the University of Newcastle, Australia
  
• March 2004 until April 2004: Guest Professor at the Centre de Recherche Viabilité, Jeux, Contrôle, Université Paris-Dauphine
  
• October 1997 until March 2002: Wissenschaftlicher Assistent ("scientific assistant"), since July 2001 also Privatdozent ("private lecturer") in the Numerics, Dynamics and Optimization Group at the Fachbereich Mathematik of the Goethe-Universität Frankfurt a.M.
  
• March 1998 until February 1999: DFG Forschungsstipendium ("DFG research grant ") for visiting the Dipartimento di Matematica "Guido Castelnouvo" at the Universita di Roma "Sapienza"
  
• January 1997 until September 1997: Postdoc Grant from the Graduiertenkolleg Nichtlineare Probleme in Analysis, Geometrie und Physik at the Universität Augsburg
  
• April 1994 until December 1996: Wissenschaftlicher Mitarbeiter ("research assistant") at the Universität Augsburg, from April 1995 within the DFG-Schwerpunkt Ergodentheorie, Analysis und effiziente Simulation dynamischer Systeme. Within this project I wrote my PhD-Thesis supervised by Fritz Colonius
  

Further professional activities

• Prodekan ("Vice Dean") of the Faculty for Mathematics, Physics and Computer Science, Universität Bayreuth (since 2023)
• Chair of the Selection Committee for the IEEE CSS George S. Axelby Outstanding Paper Award for the Journal IEEE Transactions on Automatic Control in 2024
• Chair of the Selection Committee for the Brockett-Willems Outstanding Paper Award for the Journal Systems & Control Letters in 2023
• Member of SIAM - Society for Industrial and Applied Mathematics (since 2013)
• Member of the IFAC TCs 2.3 "Non-Linear Control Systems", 2.4 "Optimal Control" and 2.6 "Distributed Parameter Systems" (first membership since 2012)
• Member of GAMM - Gesellschaft für Angewandte Mathematik und Mechanik (International Association of Applied Mathematics and Mechanics) (since 2006) and GAMM Representative at the Universität Bayreuth (since 2011). Member of the Managing Board of GAMM from 2011 until 2016
• Member of the GAMM Fachausschuss "Dynamics and Control" (since 2004)
• Member of the Scientific Advisory Board of the Max Planck Institute for Dynamics of Complex Technical Systems, Magdeburg (2015-2022)
• Studiendekan ("Dean for study affairs") of the Faculty for Mathematics, Physics and Computer Science, Universität Bayreuth (2009-2012)

Awards

• Appointment as a SIAM Fellow in the Class of 2025
• Inaugural Brockett-Willems Outstanding Paper Award for the best paper in Systems & Control Letters published between 2014 and 2018. The award was given for the paper "On the relation between strict dissipativity and turnpike properties", co-authored by Lars Grüne and Matthias A. Müller (Leibniz University Hannover)
• Preis für gute Lehre 2012 ("excellence in teaching award"), awarded by the Minister for Research of the state of Bavaria
• Nomination for the Preis für gute Lehre 2005 ("excellence in teaching award"), by the student representatives of the Faculty of Mathematics and Physics
• Universitätspreis ("University award") of the Universität Augsburg for the PhD-Thesis, 1997
  

Plenary and Semi-plenary Talks

• GAMM Annual Meeting 2025, Poznań, Poland; Plenary talk
• Control Conference Africa 2024, Balaclava, Mauritius; Plenary talk
• 15th Viennese Conference on Optimal Control and Dynamic Games 2022, Vienna, Austria; Semi-plenary talk
• SIAM Conference on Control and Its Applications 2021, Spokane, Washington, USA (held virtually); Plenary talk
• OR 2015 --- International Conference on Operations Research, Vienna, Austria; Semi-plenary talk
• CONTROLO 2014 --- 11th Conference on Automatic Control, Porto, Portugal; Plenary talk
• NMPC 2012 --- IFAC Conference on Nonlinear Model Predictive Control, Noordwijkerhout, Netherlands; Plenary talk
• MTNS 2008 --- 18th International Symposium on Mathematical Theory of Networks and Systems, Blacksburg, Virginia, USA; Semi-plenary talk
• 6th International Conference on “Large-Scale Scientific Computations” 2007, Sozopol, Bulgaria; Plenary talk

Editorial Work

Journals and Book Series

• Mathematics of Control, Signals, and Systems (MCSS) (homepage, online version)
  Editor-in-Chief
• Journal of Optimization Theory and Applications (JOTA) (homepage, online version)
  Member of the Editorial Board
• Journal of Applied Mathematics and Mechanics (ZAMM) (homepage, online version)
  Member of the Editorial Board
• Mathematical Control and Related Fields (MCRF) (homepage, online version)
  Member of the Editorial Board
• AIMS Book Series Random and Computational Dynamics
  Member of the Editorial Board
• IEEE Control Systems Letters (L-CSS) (homepage, online access via IEEE Xplore)
  Member of the Editorial Board (2017-2022)
• Discrete and Continuous Dynamical Systems - Series A (DCDS-A)
  Guest editor of the special issue 35(2015), No. 9 on New Trends for Optimal Control and Sensitivity Analysis, together with Jean-Baptiste Caillau, Maria do Rosário de Pinho, Emmanuel Trelat and Hasnaa Zidani. Preface
• Journal of Applied Mathematics and Mechanics (ZAMM)
  Guest editor of the special issue 94(2014), No. 4, on Control Theory for Digitally Networked Dynamical Systems with contributions from the DFG Priority Research Program 1305, together with Fritz Colonius. Title Page, at - Automatisierungstechnik
  Guest editor of the special issue 58(2010), No. 4, on Networked Control Systems with contributions from the DFG Priority Research Program 1305, together with Lothar Litz and Jan Lunze. Editorial (in German)
• Journal of Difference Equations and Applications (JDEA)
  Guest editor of the special issues 16(2010), No. 2 & 3 in honor of Peter E. Kloeden on the occasion of his 60th birthday, together with Tom s Caraballo. Editorial

Conferences and Workshops

• MTNS - International Symposium on Mathematical Theory of Networks and Systems
  Member of the Steering Committee, since 2008
• Elgersburg Workshop on Mathematical Systems Theory
  Member of the Organizing Team, since 2016
• SIAM Conference on Control and Its Applications 2025 (CT25), Montreal, Québec, Canada
  Program Committee Chair
• 16th Viennese Conference on Optimal Control and Dynamic Games 2025, Vienna Austria
  Member of the Scientific Committee
• CoDIT 2025 - 11th International Conference on Control, Decision and Information Technologies, Split, Croatia
  Member of the International Program Committee
• NOLCOS 2025 - 13th IFAC Symposium on Nonlinear Control Systems, Reykjavik, Iceland
  Member of the International Program Committee
• MICNON 2024 - Fourth IFAC Conference on Modelling, Identification and Control of Nonlinear Systems, Lyon, France
  Member of the International Program Committee
• CDC2024 - 63rd IEEE Conference on Decision and Control, Milano, Italy
  Member of the Organizing Committee, Vice-Program Chair for Invited Sessions
• MTNS 2024 - 26th International Symposium on Mathematical Theory of Networks and Systems, Cambridge, UK, 2024
  Member of the Steering Committee
• NMPC 2024 - 8th IFAC IFAC Conference on Nonlinear Model Predictive Control, Kyoto, Japan, 2024
  Member of the International Program Committee
• LHMNC2024 - 8th IFAC Workshop on Lagrangian and Hamiltonian Methods for Non Linear Control, Besançon, France, 2024
  Member of the International Program Committee
• 22nd FAC World Congress, 2023, Yokohama, Japan
  Member of the International Program Committee, Technical Associate Editor
• NOLCOS 2022 - 12th IFAC Symposium on Nonlinear Control Systems, Canberra, Australia
  Member of the International Program Committee
• CDC2022 - 61st IEEE Conference on Decision and Control, Cancun, Mexico
  Member of the International Program Committee, Associate Editor-at-Large
• MTNS 2022 - 25th International Symposium on Mathematical Theory of Networks and Systems, Bayreuth, Germany, 2022
  General Chair
• Workshop on the Approximation of Solutions of High-Dimensional PDEs with Deep Neural Networks within the DFG Priority Programme 2298 “Theoretical Foundations of Deep Learning”, Bayreuth, Germany, 2022
  Co-Organiser
• CDC2021 - 60th IEEE Conference on Decision and Control, Austin, Texas, USA
  Member of the International Program Committee
• MICNON 2021 - Third IFAC Conference on Modelling, Identification and Control of Nonlinear Systems, Tokyo, Japan
  Member of the International Program Committee
• Joint Workshop of the GAMM Activity Groups "Dynamics and Control Theory" and "Optimization with Partial Differential Equations", Bayreuth, Germany, 2021
  Co-Organiser
• Oberwolfach Mini-Workshop "Analysis of Data-driven Optimal Control", Oberwolfach, Germany, 2021
  Co-Organiser
• CDC2020 - 59th IEEE Conference on Decision and Control, Jeju Island, Republic of Korea
  Member of the International Program Committee
• 21st IFAC World Congress, Berlin, 2020
  Pre Conference Workshops Chair
• MTNS 2020 - 24th International Symposium on Mathematical Theory of Networks and Systems, Cambridge, UK, 2020
  Member of the Steering Committee
• NOLCOS 2019, Vienna, Austria
  Member of the International Program Committee
• SIAM CT19 - SIAM Conference on Control and its Applications, Chengdu, China, 2019
  Member of the Program Committee
• American Control Conference, Philadelphia, PA, USA, 2019
  Member of the International Program Committee
• CPDE 2019 - 3rd IFAC Workshop on Control of Systems Governed by Partial Differential Equations, Oaxaca, Mexico, 2019
  Co-Chair of the International Program Committee
• MTNS 2018 - 23rd International Symposium on Mathematical Theory of Networks and Systems, Hong Kong, 2018
  Member of the Steering Committee
• 14th Viennese Conference on Optimal Control and Dynamic Games, Vienna, Austria, 2018
  Member of the Scientific Committee
• NUMOC 2017 - Workshop on Numerical methods for optimal control problems: algorithms, analysis and applications, Rome, Italy, 2017
  Co-Organizer and member of the Scientific Committee
• NOLCOS 2016, Monterey, CA, USA
  Member of the International Program Committee and Area Chair for "Optimization-based Control and Applications"
• MTNS 2016 - 22nd International Symposium on Mathematical Theory of Networks and Systems, Minneapolis, MN, USA, 2016
  Member of the Steering Committee
• ECC 2016 - European Control Conference, Aalborg, Denmark, 2016
  Member of the International Program Committee
• CPDE 2016 - 2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations, Bertinoro, Italy, 2016
  Member of the International Program Committee
• XXXIV Dynamics Days Europe, Bayreuth, 2014
  Member of the Organization Committee
• MTNS 2014 - 21st International Symposium on Mathematical Theory of Networks and Systems, Groningen, Netherlands, 2014
  Member of the Steering Committee
• NetCo 2014 - New Trends in Optimal Control, Tours, France, 2014
  Member of the Scientific Committee
• OMPC2013 - SADCO Summer School and Workshop on Optimal and Model Predictive Control, Bayreuth, 2013
  Co-organizer
• CPDE 2013 - 1st IFAC Workshop on Control of Systems Modeled by Partial Differential Equations, Paris, France, 2013
  Member of the International Program Committee
• 4th IFAC Workshop on Distributed Estimation and Control in Networked Systems (NECSYS), Koblenz, 2013
  Member of the International Program Committee
• MTNS 2012 - 20th International Symposium on Mathematical Theory of Networks and Systems, Melbourne, Australia, 2012
  Member of the Steering Committee
• NMPC'12 - IFAC Conference on Nonlinear Model Predictive Control 2012, Noordwijkerhout, Netherlands,
  Member of the Program Committee (as Plenary Speaker)
• Workshop of the GAMM Activity Group "Dynamics and Control", Bayreuth, 2011
  Local Organizer
• GAMM Annual Meeting 2011, Graz, Austria
  Member of the Program Committee
• Workshop "The Dynamics of Control", Irsee, 2010
  Co-organizer
• NOLCOS 2010, Bologna, Italy
  Member of the International Program Committee
• MTNS 2010 - 19th International Symposium on Mathematical Theory of Networks and Systems, Budapest, Hungary, 2010
  Member of the Steering and Program Committee
• GAMM Annual Meeting 2010, Karlsruhe
  Member of the Program Committee
• DFG-SPP Workshop "Optimization Based Control and State Estimation for Decentralized and Networked Systems", Magdeburg, 2009
  Co-organizer
• DFG-SPP Workshop "Control with limited information", Bochum, 2009
  Co-organizer
• Wissenschaftliches Kolloquium zu Ehren von Prof. Lempio, Bayreuth, 2009
  Mitorganisator
• DFG-SPP Workshop "Set oriented numerics in control theory", Bayreuth, 2008
  Co-organizer and local organizer
• 6th International Conference on "Large-Scale Scientific Computations", Sozopol, Bulgaria, 2007
  Member of the Scientific Committee
• CDC-ECC 2005, Sevilla, Spain
  Associate Editor
• GAMM Workshop "Dynamics and Control", Bayreuth, 2005
  Local Organizer
• GAMM Annual Meeting 2005, Luxembourg
  Co-Chair for Section 2 "Stability and Control Theory"
• NOLCOS 2004, Stuttgart
  Area Chair for "Mathematical Systems Theory"
• 49. Internationales Wissenschaftliches Kolloquium, Ilmenau, 2004
  Member of the Programme Comittee
• Third NCN Workshop "Dynamics, Bifurcations and Control", Irsee, 2001
  Co-organizer and co-editor of the proceedings
• DANSE Workshop "Numerics of Nonautonomous Dynamical Systems", Mainz, 2000
  Local Co-organizer

Department of Mathematics
Chair of Applied Mathematics

Publications

2025

Books    ↑ top

Proceedings of the SIAM Conference on Control and its Applications 2025 (CT25). - Lars Grüne, Birgit Jacob and Kirsten Morris (Hrsg.). - Philadelphia, PA, USA : Society of Industrial and Applied Mathematica, 2025. - 67+ii S.
doi:10.1137/1.9781611978742

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

Articles (reviewed)    ↑ top

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

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

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

Lars Grüne, Mario Sperl and 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 and 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

Working Papers & Preprints    ↑ top

Shreyas Gururaj, Lars Grüne, Wojciech Samek, Sebastian Lapuschkin and 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 and 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 and 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 and 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 and 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 and 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 and 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 and 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 and 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

Articles (reviewed)    ↑ top

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

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

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

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

Conference Proceedings (reviewed)    ↑ top

Jonas Schießl, Ruchuan Ou, Timm Faulwasser, Michael Heinrich Baumann and 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

Working Papers & Preprints    ↑ top

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

2023

Articles (reviewed)    ↑ top

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

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

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

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

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

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

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

Conference Proceedings (reviewed)    ↑ top

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

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

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

Book Chapters (reviewed)    ↑ top

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

2022

Books    ↑ top

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

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

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

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

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

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

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

Book Chapters (reviewed)    ↑ top

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

Further Publications    ↑ top

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

2021

Books    ↑ 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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Conference Proceedings (reviewed)    ↑ top

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

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

2020

Articles (reviewed)    ↑ top

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

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

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

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

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

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

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

Book Chapters (reviewed)    ↑ top

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

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

Working Papers & Preprints    ↑ top

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

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

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

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

2019

Articles (reviewed)    ↑ top

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

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

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

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

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

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

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

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

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

Conference Proceedings (reviewed)    ↑ top

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

Book Chapters (reviewed)    ↑ top

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

2017

Books    ↑ top

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

Articles (reviewed)    ↑ top

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

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, 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

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

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

Book Chapters (reviewed)    ↑ top

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

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

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

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

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, 2016. - 249 S.
doi:10.1007/978-3-658-10241-8

Articles (reviewed)    ↑ top

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

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

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

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

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

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

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

Book Chapters (reviewed)    ↑ top

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

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

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

2015

Articles (reviewed)    ↑ top

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

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

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

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

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

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

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

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

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

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

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

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

Conference Proceedings (reviewed)    ↑ top

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

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

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

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

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

2014

Articles (reviewed)    ↑ top

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

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

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

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

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

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

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

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 of the 21st International Symposium on Mathematical Theory of Networks and Systems. - Groningen : University of Groningen Press, 2014. - S. 1189-1195.

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

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

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

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

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

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

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

Book Chapters (reviewed)    ↑ top

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

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

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

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

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

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

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.

2013

Articles (reviewed)    ↑ top

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

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

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) : Proceedings. - 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

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

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

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

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

Conference Proceedings (reviewed)    ↑ top

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Conference Proceedings (reviewed)    ↑ top

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

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

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

Book Chapters (reviewed)    ↑ top

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

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

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

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

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

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

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

Conference Proceedings (reviewed)    ↑ top

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

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

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

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

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

Book Chapters (reviewed)    ↑ top

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

2008

Articles (reviewed)    ↑ top

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

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

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

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

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

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

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

Conference Proceedings (reviewed)    ↑ top

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

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

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

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

2007

Articles (reviewed)    ↑ top

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

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

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

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

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

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

Conference Proceedings (reviewed)    ↑ top

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

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

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

2006

Articles (reviewed)    ↑ top

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

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

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

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

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

Conference Proceedings (reviewed)    ↑ top

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

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

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

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

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

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

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

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

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

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

Conference Proceedings (reviewed)    ↑ top

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

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

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

Articles, 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

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

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

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

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

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

Conference Proceedings (reviewed)    ↑ top

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

Book Chapters (reviewed)    ↑ top

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

2003

Articles (reviewed)    ↑ top

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

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

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

Conference Proceedings (reviewed)    ↑ top

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

2002

Books    ↑ top

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

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

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

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

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

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

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

Book Chapters (reviewed)    ↑ top

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

2001

Articles (reviewed)    ↑ top

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

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

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

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

Conference Proceedings (reviewed)    ↑ top

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

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

Book Chapters (reviewed)    ↑ top

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

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

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

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

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

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

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

Conference Proceedings (reviewed)    ↑ top

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

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

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

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

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

Book Chapters (reviewed)    ↑ top

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

1999

Articles (reviewed)    ↑ top

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

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

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

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

Conference Proceedings (reviewed)    ↑ top

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

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

1998

Articles (reviewed)    ↑ top

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

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

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

Conference Proceedings (reviewed)    ↑ top

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

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

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

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

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

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

1996

Articles (reviewed)    ↑ top

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

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

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)

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

Appointments can be arranged any time via email, either at the university or online. In the following periods I will not be in my office: 3-4 June 2025, 10-20 June 2025 (V), 16-18 July 2025, 28 July-1 August 2025, 18-29 August 2025 (V), 8-12 September 2025, 22-26 September 2025. Except for the vacation periods marked with (V) I will be available by email.