Institutionen der Universität Bayreuth
Lehrstuhl Mathematik V (Angewandte Mathematik) - Univ.-Prof. Dr. Lars Grüne

2025

Grüne, Lars ; Höger, Matthias ; Link, Kilian:
Cost design for predictive controllers : theoretical considerations and application to the start-up of a combined cycle power plant.
Bayreuth , 2025 . - 40 S.

Grüne, Lars ; Sperl, Mario ; Chatterjee, Debasish:
Representation of practical nonsmooth control Lyapunov functions by piecewise affine functions and neural networks.
Bayreuth , 2025 . - 9 S.

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

2024

Braun, Philipp ; Faulwasser, Timm ; Grüne, Lars ; Kellett, Christopher M. ; Semmler, Willi ; Weller, Steven R.:
On the social cost of carbon and discounting in the DICE model.
Bayreuth, Newcastle , 2024 . - 22 S.

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

2023

Krügel, Lisa ; Faulwasser, Timm ; Grüne, Lars:
Local Turnpike Properties in Finite Horizon Optimal Control.
Bayreuth , 2023 . - 6 S.

2022

Grüne, Lars ; Sperl, Mario:
Examples for separable control Lyapunov functions and their neural network approximation.
Bayreuth , 2022 . - 6 S.

Baumann, Michael Heinrich ; Baumann, Michaela ; Grüne, Lars ; Herz, Bernhard:
Market Structure and Instability Artifacts in Heterogeneous Agent Models: Lessons from Implicit Discretizations of Stiff Equations.
In: Computational Economics. (13 August 2022) .
ISSN 1572-9974
DOI der Verlagsversion: https://doi.org/10.1007/s10614-022-10285-z

Eichfelder, Gabriele ; Grüne, Lars ; Krügel, Lisa ; Schießl, Jonas:
Relaxed dissipativity assumptions and a simplified algorithm for multiobjective MPC.
In: Computational Optimization and Applications. (26 Juli 2022) .
ISSN 0926-6003
DOI der Verlagsversion: https://doi.org/10.1007/s10589-022-00398-4

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.
Hrsg.: Baumann, Michael Heinrich ; Grüne, Lars ; Jacob, Birgit ; Worthmann, Karl . 25th International Symposium on Mathematical Theory of Networks and Systems MTNS 2022
Bayreuth , 2022 . - 815 S.

2021

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

Grüne, Lars ; Krügel, Lisa:
Local turnpike analysis using local dissipativity for discrete time discounted optimal control.
In: Applied Mathematics and Optimization. Bd. 84 (2021) Heft Suppl. 2 . - S. S1585-S1606.
ISSN 1432-0606
DOI der Verlagsversion: https://doi.org/10.1007/s00245-021-09805-4

2020

Riedl, Wolfgang ; Baier, Robert ; Gerdts, Matthias:
Optimization-based subdivision algorithm for reachable sets.
Mathematisches Institut, Universität Bayreuth; Institut für Mathematik und Rechneranwendung, Universität der Bundeswehr in Neubiberg/München
Bayreuth , 2020 . - 38 S.

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

Grüne, Lars ; Müller, Matthias A. ; Kellett, Christopher M. ; Weller, Steven R.:
Strict dissipativity for discrete time discounted optimal control problems.
Bayreuth ; Stuttgart ; Canberra, Australia ; Newcastle, Australia , 2020 . - 29 S.

Baumann, Michael Heinrich ; Baumann, Michaela ; Grüne, Lars ; Herz, Bernhard:
Improving Heterogeneous Agent Models by Avoiding Explicit Discretizations of Stiff Equations.
Bayreuth , 2020 . - 38 S.

Grüne, Lars ; Junge, Oliver:
From Bellman to Dijkstra: Set oriented construction of globally optimal controllers.
Department of Mathematics, University of Bayreuth; Department of Mathematics, Technical University of Munich
Bayreuth , 2020 . - 30 S.

Grüne, Lars ; Schaller, Manuel ; Schiela, Anton:
Exponential sensitivity analysis for Model Predictive Control of PDEs.
Department of Mathematics, University of Bayreuth
Bayreuth , 2020 . - 4 S.

Grüne, Lars ; Schaller, Manuel ; Schiela, Anton:
Exponential sensitivity and turnpike analysis for linear quadratic optimal control of general evolution equations.
Department of Mathematics, University of Bayreuth
Bayreuth , 2020 . - 26 S.

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

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

2019

Grüne, Lars ; Guglielmi, Roberto:
On the relation between turnpike properties and dissipativity for continuous time linear quadratic optimal control problems.
Bayreuth , 2019 . - 23 S.

Borzì, Alfio ; Grüne, Lars:
Towards a solution of mean-field control problems using model predictive control.
Bayreuth , 2019 . - 6 S.

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

Fleig, Arthur ; Grüne, Lars:
Strict dissipativity analysis for classes of optimal control problems involving probability density functions.
Bayreuth , 2019 . - 23 S.

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

Fleig, Arthur ; Grüne, Lars:
On Dissipativity of the Fokker-Planck Equation for the Ornstein-Uhlenbeck Process.
Bayreuth , 2019 . - 6 S.

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

Pirkelmann, Simon ; Angeli, David ; Grüne, Lars:
Approximate computation of storage functions for discrete-time systems using sum-of-squares techniques.
Bayreuth , 2019 . - 9 S.

Baier, Robert ; Braun, Philipp ; Grüne, Lars ; Kellett, Christopher M.:
Numerical Calculation of Nonsmooth Control Lyapunov Functions via Piecewise Affine Approximation.
Bayreuth; Newcastle, Australia , 2019 . - 6 S.

2018

Höger, Matthias ; Grüne, Lars:
On the relation between detectability and dissipativity for nonlinear discrete time systems.
Bayreuth , 2018 . - 13 S.

Grüne, Lars ; Pirkelmann, Simon:
Numerical Verification of Turnpike and Continuity Properties for Time-Varying PDEs.
Bayreuth , 2018 . - 10 S.

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

Grüne, Lars ; Schaller, Manuel ; Schiela, Anton:
Sensitivity Analysis of Optimal Control for a class of parabolic PDEs motivated by Model Predictive Control.
Department of Mathematics, University of Bayreuth
Bayreuth , 2018 . - 23 S.

Fleig, Arthur ; Grüne, Lars:
L²-Tracking of Gaussian Distributions via Model Predictive Control for the Fokker-Planck Equation.
Bayreuth , 2018 . - 33 S.

Grüne, Lars ; Pirkelmann, Simon:
Economic Model Predictive Control for Time-Varying System: Performance and Stability Results.
Bayreuth , 2018 . - 21 S.

Stieler, Marleen ; Baumann, Michael Heinrich ; Grüne, Lars:
Noncooperative Model Predictive Control for Affine-Quadratic Games.
Bayreuth , 2018 . - 2 S.

Grüne, Lars ; Dower, Peter:
Hamiltonian based a posteriori error estimation for Hamilton-Jacobi-Bellman equations.
Bayreuth ; Melbourne , 2018 . - 3 S.

Grüne, Lars ; Schaller, Manuel ; Schiela, Anton:
Sensitivity analysis of optimal control motivated by model predictive control.
Department of Mathematics, University of Bayreuth
Bayreuth , 2018 . - 4 S.

Yegorov, Ivan ; Dower, Peter ; Grüne, Lars:
A characteristics based curse-of-dimensionality-free approach for approximating control Lyapunov functions and feedback stabilization.
Bayreuth ; Melbourne , 2018 . - 8 S.

Braun, Philipp ; Grüne, Lars ; Kellett, Christopher M.:
Complete Instability of Differential Inclusions using Lyapunov Methods.
Bayreuth; Newcastle, Australia , 2018 . - 8 S.

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

Grüne, Lars ; Stieler, Marleen:
Multiobjective Model Predictive Control for Stabilizing Cost Criteria.
Bayreuth , 2018 . - 23 S.

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

Braun, Philipp ; Grüne, Lars:
Verteilte Optimierung : Anwendungen in der Modellprädiktiven Regelung.
Bayreuth; Newcastle, Australia , 2018 . - 10 S.

2017

Faulwasser, Timm ; Grüne, Lars ; Müller, Matthias A.:
Economic Nonlinear Model Predictive Control.
Bayreuth , 2017 . - 93 S.

Schiela, Anton:
A flexible framework for cubic regularization algorithms for non-convex optimization in function space.
Bayreuth , 2017 . - 28 S.

Grüne, Lars:
Dynamic programming, optimal control and model predictive control.
Bayreuth , 2017 . - 24 S.
DOI der Verlagsversion: https://doi.org/10.1007/978-3-319-77489-3_2

Baier, Robert ; Braun, Philipp ; Grüne, Lars ; Kellett, Christopher M.:
Numerical construction of nonsmooth control Lyapunov functions.
Bayreuth; Newcastle, Australia , 2017 . - 30 S.

Gaitsgory, Vladimir ; Grüne, Lars ; Höger, Matthias ; Kellett, Christopher M. ; Weller, Steven R.:
Stabilization of strictly dissipative discrete time systems with discounted optimal control.
Bayreuth , 2017 . - 18 S.

Riedl, Wolfgang ; Baier, Robert ; Gerdts, Matthias:
Analytical and numerical estimates of reachable sets in a subdivision scheme.
Mathematisches Institut, Universität Bayreuth; Institut für Mathematik und Rechneranwendung, Universität der Bundeswehr in Neubiberg/München
Bayreuth, Neubiberg/München , 2017 . - 15 S.

Grüne, Lars ; Pirkelmann, Simon ; Stieler, Marleen:
Strict dissipativity implies turnpike behavior for time-varying discrete time optimal control problems.
Bayreuth , 2017 . - 22 S.

Müller, Matthias A. ; Grüne, Lars:
On the relation between dissipativity and discounted dissipativity.
Institute for Systems Theory and Automatic Control, University of Stuttgart; Department of Mathematics, University of Bayreuth
Bayreuth , 2017 . - 6 S.

Grüne, Lars ; Pirkelmann, Simon:
Closed-loop performance analysis for economic model predictive control of time-varying systems.
Bayreuth , 2017 . - 7 S.

Hans, Christian A. ; Braun, Philipp ; Raisch, Jörg ; Grüne, Lars ; Reincke-Collon, Carsten:
Hierarchical distributed model predictive control of interconnected microgrids.
Bayreuth , 2017 . - 8 S.

Grüne, Lars ; Guglielmi, Roberto:
Turnpike properties and strict dissipativity for discrete time linear quadratic optimal control problems.
Bayreuth , 2017 . - 20 S.

Grüne, Lars ; Kellett, Christopher M. ; Weller, Steven R.:
On the relation between turnpike properties for finite and infinite horizon optimal control problems.
Bayreuth , 2017 . - 18 S.

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

Braun, Philipp ; Grüne, Lars ; Kellett, Christopher M.:
Feedback Design Using Nonsmooth Control Lyapunov Functions: A Numerical Case Study for the Nonholonomic Integrator.
Bayreuth , 2017 . - 8 S.

Grüne, Lars ; Stieler, Marleen:
Performance Guarantees for Multiobjective Model Predictive Control.
Bayreuth , 2017 . - 6 S.

2016

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

Baumann, Michael Heinrich ; Grüne, Lars:
Simultaneously Long Short Trading in Discrete and Continuous Time.
University of Bayreuth, Department of Mathematics
Bayreuth , 2016 . - 14 S.

Botner, Meir ; Zarai, Yoram ; Margaliot, Michael ; Grüne, Lars:
On approximating contractive systems.
Bayreuth , 2016 . - 18 S.

Grüne, Lars:
Approximation properties of receding horizon optimal control.
Department of Mathematics, University of Bayreuth
Bayreuth , 2016 . - 35 S.

Li, Huijuan ; Grüne, Lars:
Computation of Local ISS Lyapunov Functions for Discrete-time Systems Via Linear Programming.
School of Mathematics and Physics, Chinese University of Geosciences (Wuhan); Department of Mathematics, University of Bayreuth
Bayreuth , 2016 . - 29 S.

Grüne, Lars ; Kellett, Christopher M. ; Weller, Steven R.:
On a discounted notion of strict dissipativity.
Bayreuth , 2016 . - 6 S.

Fleig, Arthur ; Grüne, Lars:
Model Predictive Control for the Fokker-Planck equation: analysis and structural insight.
Bayreuth , 2016 . - 2 S.

Fleig, Arthur ; Grüne, Lars:
Estimates on the Minimal Stabilizing Horizon Length in Model Predictive Control for the Fokker-Planck Equation.
Bayreuth , 2016 . - 6 S.

Braun, Philipp ; Faulwasser, Timm ; Grüne, Lars ; Kellett, Christopher M. ; Weller, Steven R. ; Worthmann, Karl:
Hierarchical distributed ADMM for predictive control with applications in power networks.
Bayreuth , 2016 . - 10 S.

Braun, Philipp ; Faulwasser, Timm ; Grüne, Lars ; Kellett, Christopher M. ; Weller, Steven R. ; Worthmann, Karl:
Maximal Islanding Time For Microgrids via Distributed Predictive Control.
Bayreuth , 2016 . - 8 S.

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

Worthmann, Karl ; Proch, Michael ; Braun, Philipp ; Schlüchtermann, Jörg ; Pannek, Jürgen:
Towards Dynamic Contract Extension in Supplier Development.
Bayreuth , 2016 . - 19 S.

Braun, Philipp ; Grüne, Lars ; Kellett, Christopher M. ; Weller, Steven R. ; Worthmann, Karl:
Towards price-based predictive control of a small scale electricity network.
Bayreuth , 2016 . - 29 S.

2015

Baumann, Michael Heinrich ; Grüne, Lars:
Positive Expected Feedback Trading Gain for all Essentially Linearly Representable Prices.
University of Bayreuth, Department of Mathematics
Bayreuth , 2015 . - 5 S.

Grüne, Lars ; Müller, Matthias A.:
On the relation between strict dissipativity and the turnpike property.
Department of Mathematics, University of Bayreuth; Institute for Systems Theory and Automatic Control, University of Stuttgart
Bayreuth , 2015 . - 19 S.

Li, Huijuan ; Baier, Robert ; Grüne, Lars ; Hafstein, Sigurdur Freyr ; Wirth, Fabian:
Computation of local ISS Lyapunov functions with low gains via linear programming.
School of Mathematics and Physics, Chinese University of Geosciences (Wuhan); Department of Mathematics, University of Bayreuth; Fakultät für Informatik und Mathematik, Universität Passau
Bayreuth , 2015 . - 19 S.

Müller, Matthias A. ; Grüne, Lars:
Economic model predictive control without terminal constraints: optimal periodic operation.
Institute for Systems Theory and Automatic Control, University of Stuttgart; Department of Mathematics, University of Bayreuth
Bayreuth , 2015 . - 8 S.

Müller, Matthias A. ; Grüne, Lars ; Allgöwer, Frank:
On the role of dissipativity in economic model predictive control.
Institute for Systems Theory and Automatic Control, University of Stuttgart; Department of Mathematics, University of Bayreuth
Bayreuth, Germany , 2015 . - 7 S.

Zanon, Mario ; Grüne, Lars ; Diehl, Moritz:
Periodic optimal control, dissipativity and MPC.
Department of Microsystems Engineering IMTEK, University of Freiburg; Department of Mathematics, University of Bayreuth; ESAT / OPTEC, KU Leuven
Bayreuth, Germany , 2015 . - 6 S.

Grüne, Lars:
Open problem: Strict Dissipativity and the Turnpike Property.
Department of Mathematics, University of Bayreuth
Bayreuth , 2015 . - 2 S.

Grüne, Lars ; Panin, Anastasia:
On non-averaged performance of economic MPC with terminal conditions.
Department of Mathematics, University of Bayreuth
Bayreuth , 2015 . - 6 S.

Worthmann, Karl ; Reble, Marcus ; Grüne, Lars ; Allgöwer, Frank:
Unconstrained nonlinear MPC: performance estimates for sampled-data systems with zero order hold.
Institute for Mathematics, Technische Universität Ilmenau; Institute for Systems Theory and Automatic Control, University of Stuttgart; Department of Mathematics, University of Bayreuth
Bayreuth , 2015 . - 6 S.

Grüne, Lars ; Semmler, Willi ; Stieler, Marleen:
Using nonlinear model predictive control for dynamic decision problems in economics.
Department of Mathematics, University of Bayreuth
Bayreuth , 2015 . - 32 S.

Worthmann, Karl ; Braun, Philipp ; Proch, Michael ; Schlüchtermann, Jörg ; Pannek, Jürgen:
On Contractual Periods in Supplier Development.
Bayreuth , 2015 . - 6 S.

Braun, Philipp ; Grüne, Lars ; Kellett, Christopher M. ; Weller, Steven R. ; Worthmann, Karl:
Predictive control of a smart grid: a distributed optimization algorithm with centralized performance properties.
Department of Mathematics, University of Bayreuth
Bayreuth , 2015 . - 8 S.

Grüne, Lars ; Zidani, Hasnaa:
Zubov's equation for state-constrained perturbed nonlinear systems.
Department of Mathematics, University of Bayreuth
Bayreuth , 2015 . - 19 S.

Grüne, Lars ; Picarelli, Athena:
Zubov's method for controlled diffusions with state constraints.
Department of Mathematics, University of Bayreuth
Bayreuth , 2015 . - 36 S.

Braun, Philipp ; Grüne, Lars ; Kellett, Christopher M. ; Weller, Steven R. ; Worthmann, Karl:
A distributed optimization algorithm for the predictive control of smart grids.
Department of Mathematics, University of Bayreuth; School of Electrical Engineering and Computer Science, University of Newcastle, Australia; Technische Universität Ilmenau
Bayreuth , 2015 . - 12 S.

Grüne, Lars ; Le, Thuy Thi Thien:
A new approach to the minimum time problem and its numerical approximation.
Department of Mathematics, University of Bayreuth
Bayreuth , 2015 . - 17 S.

Braun, Philipp ; Grüne, Lars ; Kellett, Christopher M. ; Weller, Steven R. ; Worthmann, Karl:
A real-time pricing scheme for residential energy systems using a market maker.
Department of Mathematics, University of Bayreuth; School of Electrical Engineering and Computer Science, University of Newcastle, Australia; Technische Universität Ilmenau
Bayreuth , 2015 . - 4 S.

2014

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

Boccia, Andrea ; Grüne, Lars ; Worthmann, Karl:
Stability and feasibility of state constrained MPC without stabilizing terminal constraints.
Department of Mathematics, University of Bayreuth
Bayreuth , 2014 . - 24 S.

Boccia, Andrea ; Grüne, Lars ; Worthmann, Karl:
Stability and feasibility of state-constrained linear MPC without stabilizing terminal constraints.
Department of Mathematics, University of Bayreuth
Bayreuth , 2014 . - 8 S.

Fleig, Arthur ; Grüne, Lars ; Guglielmi, Roberto:
Some results on Model Predictive Control for the Fokker-Planck equation.
Department of Mathematics, University of Bayreuth
Bayreuth , 2014 . - 4 S.

Grüne, Lars ; Kellett, Christopher M.:
Strong implication-form ISS-Lyapunov functions for discontinuous discrete-time systems.
Department of Mathematics, University of Bayreuth
Bayreuth , 2014

Bokanowski, Olivier ; Falcone, Maurizio ; Ferretti, Roberto ; Grüne, Lars ; Kalise, Dante ; Zidani, Hasnaa:
Value iteration convergence of ε-monotone schemes for stationary Hamilton-Jacobi equations.
Department of Mathematics, University of Bayreuth
Bayreuth , 2014 . - 30 S.

Grüne, Lars ; Sigurani, Manuela:
Numerical event-based ISS controller design via a dynamic game approach.
Department of Mathematics, University of Bayreuth
Bayreuth , 2014 . - 17 S.

Grüne, Lars ; Zanon, Mario:
Periodic optimal control, dissipativity and MPC.
Department of Mathematics, University of Bayreuth
Bayreuth , 2014 . - 4 S.

Damm, Tobias ; Grüne, Lars ; Stieler, Marleen ; Worthmann, Karl:
An exponential turnpike theorem for dissipative discrete time optimal control problems.
Department of Mathematics, University of Bayreuth
Bayreuth , 2014 . - 23 S.

Grüne, Lars ; Kellett, Christopher M.:
ISS-Lyapunov functions for discontinuous discrete-time systems.
Department of Mathematics, University of Bayreuth
Bayreuth , 2014 . - 19 S.

Grüne, Lars ; Sigurani, Manuela:
Construction of event-based ISS controllers on coarse quantizations.
Department of Mathematics, University of Bayreuth
Bayreuth , 2014 . - 6 S.

Grüne, Lars ; Stieler, Marleen:
A Lyapunov function for economic MPC without terminal conditions.
Department of Mathematics, University of Bayreuth
Bayreuth , 2014 . - 6 S.

Worthmann, Karl ; Reble, Marcus ; Grüne, Lars ; Allgöwer, Frank:
The role of sampling for stability and performance in unconstrained nonlinear model predictive control.
Department of Mathematics, University of Bayreuth
Bayreuth, , 2014 . - 23 S.

Grüne, Lars ; Stieler, Marleen:
Asymptotic stability and transient optimality of economic MPC without terminal conditions.
Department of Mathematics, University of Bayreuth
Bayreuth , 2014 . - 28 S.

Li, Huijuan ; Baier, Robert ; Grüne, Lars ; Hafstein, Sigurdur Freyr ; Wirth, Fabian:
Computation of local ISS Lyapunov functions via linear programming.
Department of Mathematics, University of Bayreuth
Bayreuth , 2014 . - 7 S.

Worthmann, Karl ; Kellett, Christopher M. ; Braun, Philipp ; Grüne, Lars ; Weller, Steven R.:
Distributed and decentralized control of residential energy systems incorporating battery storage.
Department of Mathematics, University of Bayreuth
Bayreuth , 2014 . - 8 S.

Braun, Philipp ; Grüne, Lars ; Kellett, Christopher M. ; Weller, Steven R. ; Worthmann, Karl:
Model predictive control of residential energy systems using energy storage & controllable loads.
Department of Mathematics, University of Bayreuth
Bayreuth , 2014 . - 7 S.

Grüne, Lars ; Palma, Vryan Gil:
On the benefit of re-optimization in optimal control under perturbations.
Department of Mathematics, University of Bayreuth
Bayreuth , 2014 . - 8 S.

Grüne, Lars ; Palma, Vryan Gil:
Robustness of performance and stability for multistep and updated multistep MPC schemes.
Department of Mathematics, University of Bayreuth
Bayreuth , 2014 . - 30 S.

Gaitsgory, Vladimir ; Grüne, Lars ; Thatcher, Neil:
Stabilization with discounted optimal control.
Department of Mathematics, University of Bayreuth
Bayreuth , 2014 . - 15 S.

Worthmann, Karl ; Kellett, Christopher M. ; Grüne, Lars ; Weller, Steven R.:
Distributed control of residential energy systems using a market maker.
Bayreuth , 2014 . - 6 S.

2013

Grüne, Lars:
Numerical methods for nonlinear optimal control problems.
Department of Mathematics, University of Bayreuth
Bayreuth , 2013 . - 15 S.

Grüne, Lars ; Sigurani, Manuela:
A Lyapunov based nonlinear small-gain theorem for discontinuous discrete-time large-scale systems.
Department of Mathematics, University of Bayreuth
Bayreuth , 2013 . - 7 S.

Grüne, Lars:
Nominal model predictive control.
Department of Mathematics, University of Bayreuth
Bayreuth , 2013 . - 5 S.

Sigurani, Manuela ; Stöcker, Christian ; Grüne, Lars ; Lunze, Jan:
Experimental evaluation of two complementary decentralized event-based control methods.
Department of Mathematics, University of Bayreuth
Bayreuth , 2013 . - 15 S.

Grüne, Lars ; Sigurani, Manuela:
Numerical ISS controller design via a dynamic game approach.
Department of Mathematics, University of Bayreuth
Bayreuth , 2013 . - 6 S.

Grüne, Lars ; Karafyllis, Iasson:
Lyapunov function based step size control for numerical ODE solvers with application to optimization algorithms.
Bayreuth , 2013

Altmüller, Nils ; Grüne, Lars:
A comparative stability analysis of Neumann and Dirichlet boundary MPC for the heat equation.
Bayreuth , 2013 . - 6 S.

2012

Grüne, Lars ; Jahn, Thomas U.:
Computing reachable sets via barrier methods on SIMD architectures.
Department of Mathematics, University of Bayreuth
Bayreuth , 2012 . - 20 S.

Grüne, Lars ; Pannek, Jürgen ; Seehafer, Martin ; Worthmann, Karl:
Analysis of unconstrained nonlinear MPC schemes with time varying control horizon.
Bayreuth , 2012

Grüne, Lars ; Worthmann, Karl:
A Distributed NMPC Scheme without Stabilizing Terminal Constraints.
Bayreuth , 2012

Grüne, Lars:
Economic MPC and the role of exponential turnpike properties.
Bayreuth , 2012

Grüne, Lars:
Economic MPC without terminal constraints.
Bayreuth , 2012

Grüne, Lars:
Economic receding horizon control without terminal constraints.
Bayreuth , 2012

Grüne, Lars ; Pannek, Jürgen ; Worthmann, Karl:
Ensuring stability in networked systems with nonlinear MPC for continuous time systems.
Bayreuth , 2012

Baier, Robert ; Grüne, Lars ; Freyr Hafstein, Sigurđur:
Linear programming based Lyapunov function computation for differential inclusions.
Bayreuth , 2012

Grüne, Lars:
NMPC without terminal constraints.
Bayreuth , 2012

Braun, Philipp ; Pannek, Jürgen ; Worthmann, Karl:
Predictive control algorithms: stability despite shortened optimization horizons.
Department of Mathematics, University of Bayreuth
Bayreuth, Germany , 2012 . - 6 S.

Palma, Vryan Gil ; Grüne, Lars:
Stability, performance and robustness of sensitivity-based multistep feedback NMPC.
Department of Mathematics, University of Bayreuth
Bayreuth , 2012 . - 4 S.

2011

Grüne, Lars ; Serea, Oana Silvia:
Differential Games and Zubov's Method.
Bayreuth , 2011

Alt, Walter ; Baier, Robert ; Gerdts, Matthias ; Lempio, Frank:
Error bounds for Euler approximation of linear-quadratic control problems with bang-bang solutions.
Bayreuth , 2011

Aoyama, Hideaki ; Grüne, Lars ; Semmler, Willi ; Fujiwara, Yoshi ; Souma, Wataru:
Fluctuation of Firm Size in the Long-Run and Bimodal Distribution.
Bayreuth , 2011

Hänel, Maria ; Kuhn, Stefan ; Heinrich, Dominik ; Grüne, Lars ; Pannek, Jürgen:
Optimal Camera Placement to measure Distances Conservativly Regarding Static and Dynamic Obstacles.
Bayreuth , 2011

Grüne, Lars:
Optimal invariance via receding horizon control.
Bayreuth , 2011

Findeisen, Rolf ; Grüne, Lars ; Pannek, Jürgen ; Varutti, Paolo:
Robustness of Prediction Based Delay Compensation for Nonlinear Systems.
Bayreuth , 2011

2010

Grüne, Lars ; Pannek, Jürgen ; Seehafer, Martin ; Worthmann, Karl:
Analysis of Unconstrained Nonlinear MPC Schemes with Time Varying Control Horizon.
Bayreuth , 2010

Grüne, Lars ; Pannek, Jürgen:
Analysis of unconstrained NMPC schemes with incomplete optimization.
Bayreuth , 2010

Baier, Robert ; Grüne, Lars ; Hafstein, Sigurdur Freyr:
Computing Lyapunov functions for strongly asymptotically stable differential inclusions.
Bayreuth , 2010

Karafyllis, Iasson ; Grüne, Lars:
Feedback stabilization methods for the numerical solution of ordinary differential equations.
Bayreuth , 2010

Grüne, Lars ; Müller, Florian:
Global optimal control of quantized systems.
Bayreuth , 2010

Greiner, Alfred ; Grüne, Lars ; Semmler, Willi:
Growth and Climate Change : Threshold and Multiple Equilibria.
Bayreuth , 2010

Altmüller, Nils ; Grüne, Lars ; Worthmann, Karl:
Instantaneous Control of the linear wave equation.
Bayreuth , 2010

Grüne, Lars ; von Lossow, Marcus ; Pannek, Jürgen ; Worthmann, Karl:
MPC : implications of a growth condition on exponentially controllable systems.
Bayreuth , 2010

Grüne, Lars ; von Lossow, Marcus ; Worthmann, Karl:
NMPC Suboptimality Estimates for Sampled-Data Continuous Systems.
Bayreuth , 2010

Altmüller, Nils ; Grüne, Lars ; Worthmann, Karl:
Performance of NMPC Schemes without Stabilizing Terminal Constraints.
Bayreuth , 2010

Grüne, Lars ; Sager, Sebastian ; Allgöwer, Frank ; Bock, Hans Georg ; Diehl, Moritz:
Predictive Planning and Systematic Action : On the Control of Technical Processes.
Bayreuth , 2010

Altmüller, Nils ; Grüne, Lars ; Worthmann, Karl:
Receding horizon optimal control for the wave equation.
Bayreuth , 2010

2009

Grüne, Lars ; Nešić, Dragan ; Worthmann, Karl:
Digital redesign of nonlinear multi-input systems.
Bayreuth , 2009

Camilli, Fabio ; Grüne, Lars ; Wirth, Fabian:
Domains of attraction of interconnected systems : A Zubov method approach.
Bayreuth , 2009

Karafyllis, Iasson ; Grüne, Lars:
Feedback Stabilization Methods for the Numerical Solution of Systems of Ordinary Differential Equations.
Bayreuth , 2009

Grüne, Lars ; Müller, Florian:
An algorithm for event-based optimal feedback control.
Bayreuth , 2009

Grüne, Lars ; Pannek, Jürgen ; Worthmann, Karl:
A networked unconstrained nonlinear MPC scheme.
Bayreuth , 2009

Grüne, Lars ; Pannek, Jürgen ; Worthmann, Karl:
A prediction based control scheme for networked systems with delays and packet dropouts.
Bayreuth , 2009

2008

Grüne, Lars ; Worthmann, Karl:
Nonlinear sampled-data redesign : analytical formulas and their practical implementation.
Bayreuth , 2008

Grüne, Lars:
Optimization Based Stabilization of Nonlinear Control Systems.
Bayreuth , 2008

Grüne, Lars ; Pannek, Jürgen:
Practical NMPC suboptimality estimates along trajectories.
Bayreuth , 2008

Grüne, Lars ; Müller, Florian:
Set oriented optimal control using past information.
Bayreuth , 2008

Grüne, Lars ; Pannek, Jürgen:
Trajectory based suboptimality estimates for receding horizon controllers.
Bayreuth , 2008

Grüne, Lars ; Sager, Sebastian ; Allgöwer, Frank ; Bock, Hans Georg ; Diehl, Moritz:
Vorausschauend Planen, Gezielt Handeln : Über die Regelung und Steuerung technischer Prozesse.
Bayreuth , 2008

2007

Grüne, Lars:
Analysis and Design of Unconstrained Nonlinear MPC Schemes for Finite and Infinite Dimensional Systems.
Bayreuth , 2007

Grüne, Lars ; Junge, Oliver:
Approximately optimal nonlinear stabilization with preservation of the Lyapunov function property.
Bayreuth , 2007

Grüne, Lars ; Semmler, Willi:
Asset pricing with loss aversion.
Bayreuth , 2007

Becker, Stephanie ; Grüne, Lars ; Semmler, Willi:
Comparing accuracy of second order approximation and dynamic programming.
Bayreuth , 2007

Grüne, Lars:
Computing stability and performance bounds for unconstrained NMPC schemes.
Bayreuth , 2007

Grüne, Lars ; Semmler, Willi ; Bernard, Lucas:
Firm value, diversified capital assets, and credit risk: towards a theory of default correlation.
Bayreuth , 2007

Grüne, Lars ; Kloeden, Peter E. ; Siegmund, Stefan ; Wirth, Fabian:
Lyapunov's second method for nonautonomous differential equations.
Bayreuth , 2007

Grüne, Lars ; Nešić, Dragan ; Pannek, Jürgen:
Model predictive control for nonlinear sampled-data systems.
Bayreuth , 2007

Grüne, Lars ; Rantzer, Anders:
On the Infinite Horizon Performance of Receding Horizon Controllers.
Bayreuth , 2007

Grüne, Lars ; Pannek, Jürgen ; Worthmann, Karl ; Nešić, Dragan:
Redesign Techniques for Nonlinear Sampled-data Systems : Entwurfstechniken für nichtlineare Abtastsysteme.
Bayreuth , 2007

Grüne, Lars ; Worthmann, Karl:
Sampled-data redesign for nonlinear multi-input systems.
Bayreuth , 2007

2006

Grüne, Lars ; Semmler, Willi:
Asset pricing with dynamic programming.
Bayreuth , 2006

Grüne, Lars ; Worthmann, Karl ; Nešić, Dragan:
Continuous-time controller redesign for digital implementation : A trajectory based approach.
Bayreuth , 2006

Grüne, Lars ; Junge, Oliver:
Global Optimal Control of Perturbed Systems.
Bayreuth , 2006

Grüne, Lars ; Nešić, Dragan ; Worthmann, Karl:
High order approximations by sampled-data feedback.
Bayreuth , 2006

Grüne, Lars ; Junge, Oliver:
Optimal stabilization of hybrid systems using a set oriented approach.
Bayreuth , 2006

Camilli, Fabio ; Cesaroni, Annalisa ; Grüne, Lars ; Wirth, Fabian:
Stabilization of controlled diffusions and Zubov's method.
Bayreuth , 2006

Grüne, Lars ; Ratzer, A.:
Suboptimality estimates for receding horizon controllers.
Bayreuth , 2006

2005

Camilli, Fabio ; Grüne, Lars ; Wirth, Fabian:
Calculating the domain of attraction : Zubov's method and extensions.
Bayreuth , 2005

Grüne, Lars ; Kloeden, Peter E.:
Higher order numerical approximation of switching systems.
Bayreuth , 2005

Grüne, Lars ; Nešić, Dragan ; Pannek, Jürgen:
Model predictive sampled-data redesign for nonlinear systems.
Bayreuth , 2005

Grüne, Lars ; Nešić, Dragan:
Nonlinear sampled-data controller redesign via Lyapunov functions.
Bayreuth , 2005

Grüne, Lars ; Nešić, Dragan ; Pannek, Jürgen:
Redesign techniques for nonlinear sampled-data control.
Bayreuth , 2005

Camilli, Fabio ; Grüne, Lars ; Wirth, Fabian:
Zubov's method for stochastic control systems.
Bayreuth , 2005

Grüne, Lars ; Saint-Pierre, Patrick:
An invariance kernel representation of ISDS Lyapunov functions.
Bayreuth , 2005

Nešić, Dragan ; Grüne, Lars:
A receding horizon control approach to sampled-data implementation of continuous-time controllers.
Bayreuth , 2005

Grüne, Lars ; Saint-Pierre, Patrick:
A set valued characterization of ISDS Lyapunov functions.
Bayreuth , 2005

2004

Bauer, Florian ; Grüne, Lars ; Semmler, Willi:
Adaptive spline interpolation for Hamilton–Jacobi–Bellman equations.
Bayreuth , 2004

Camilli, Fabio ; Grüne, Lars ; Wirth, Fabian:
Characterizing controllability probabilities of stochastic control systems via Zubov's method.
Bayreuth , 2004

Camilli, Fabio ; Grüne, Lars ; Wirth, Fabian:
Construction of Lyapunov functions on the domain of asymptotic nullcontrollability : Numerics.
Bayreuth , 2004

Camilli, Fabio ; Grüne, Lars ; Wirth, Fabian:
Construction of Lyapunov functions on the domain of asymptotic nullcontrollability : Theory.
Bayreuth , 2004

Camilli, Fabio ; Grüne, Lars ; Wirth, Fabian:
Control Lyapunov Functions and Zubov's Method.
Bayreuth , 2004

Grüne, Lars ; Semmler, Willi:
Default Risk, Asset Pricing, and Debt Control.
Bayreuth , 2004

Nešić, Dragan ; Grüne, Lars:
Lyapunov based continuous-time nonlinear controller redesign for sampled-data implementation.
Bayreuth , 2004

Grüne, Lars:
Quantitative aspects of the input-to-state stability property.
Bayreuth , 2004

Grüne, Lars:
Robust asymptotic controllability under time-varying perturbations.
Bayreuth , 2004

Grüne, Lars ; Semmler, Willi:
Using dynamic programming with adaptive grid scheme for optimal control problems in economics.
Bayreuth , 2004

Grüne, Lars ; Junge, Oliver:
A set oriented approach to optimal feedback stabilization.
Bayreuth , 2004

2003

Grüne, Lars ; Semmler, Willi ; Sieveking, Malte:
Creditworthiness and thresholds in a credit market model with multiple equilibria.
Bayreuth , 2003

Grüne, Lars:
Error estimation and adaptive discretization for the discrete stochastic Hamilton-Jacobi-Bellman equation.
Bayreuth , 2003

2002

Camilli, Fabio ; Grüne, Lars:
Characterizing attraction probabilities via the stochastic Zubov equation.
Bayreuth , 2002

Grüne, Lars:
Gain preserving Lyapunov functions for perturbed and controlled systems.
Bayreuth , 2002

Grüne, Lars:
Input-to-state dynamical stability and its Lyapunov function characterization.
Bayreuth , 2002

Cyganowski, Sasha ; Grüne, Lars ; Kloeden, Peter E.:
MAPLE for Jump-Diffusion Stochastic Differential Equations in Finance.
Bayreuth , 2002

Baier, Robert ; Dyn, N. ; Farkhi, Elza:
The Metric Average of 1D Compact Sets.
Bayreuth , 2002

Grüne, Lars ; Kloeden, Peter E.:
Numerical Schemes of Higher Order for a Class of Nonlinear Control Systems.
Bayreuth , 2002

Grüne, Lars ; Nešić, Dragan:
Optimization Based Stabilization of Sampled-Data Nonlinear Systems via Their Approximate Discrete-Time Models.
Bayreuth , 2002

Grüne, Lars:
Quantitative aspects of the input-to-state stability property.
Bayreuth , 2002

Grüne, Lars ; Kato, Mika ; Semmler, Willi:
Solving ecological management problems using dynamic programming.
Bayreuth , 2002

Grüne, Lars ; Nešić, Dragan:
Stabilization of sampled-data nonlinear systems via their approximate models : an optimization based approach.
Bayreuth , 2002

Camilli, Fabio ; Grüne, Lars ; Wirth, Fabian:
A generalization of Zubov's method to perturbed systems.
Bayreuth , 2002

2001

Grüne, Lars:
Attraction Rates, Robustness, and Discretization of Attractors.
Bayreuth , 2001

Grüne, Lars ; Kloeden, Peter E.:
Discretization, inflation and perturbation of attractors.
Bayreuth , 2001

Camilli, Fabio ; Grüne, Lars ; Wirth, Fabian:
A Generalization of Zubov's Method to Perturbed Systems.
Bayreuth , 2001

Cyganowski, Sasha ; Grüne, Lars ; Kloeden, Peter E.:
MAPLE for Stochastic Differential Equations.
Bayreuth , 2001

Grüne, Lars ; Kloeden, Peter E.:
Pathwise Approximation of Random Ordinary Differential Equations.
Bayreuth , 2001

Grüne, Lars:
Subdivision techniques for the computation of domains of attraction and reachable sets.
Bayreuth , 2001

2000

Grüne, Lars:
Adaptive grid generation for evolutive Hamilton-Jacobi-Bellman equations.
Bayreuth , 2000

Grüne, Lars:
Attractors under perturbation and discretization.
Bayreuth , 2000

Grüne, Lars ; Wirth, Fabian:
Computing control Lyapunov functions via a Zubov type algorithm.
Bayreuth , 2000

Grüne, Lars ; Kloeden, Peter E.:
Higher order numerical schemes for affinely controlled nonlinear systems.
Bayreuth , 2000

Grüne, Lars:
Homogeneous State Feedback Stabilization of Homogenous Systems.
Bayreuth , 2000

Grüne, Lars:
Homogeneous control Lyapunov functions for homogeneous control systems.
Bayreuth , 2000

Grüne, Lars:
Homogeneous state feedback stabilization of homogeneous systems.
Bayreuth , 2000

Camilli, Fabio ; Grüne, Lars:
Numerical Approximation of the Maximal Solutions for a Class of Degenerate Hamilton-Jacobi Equations.
Bayreuth , 2000

Grüne, Lars ; Sontag, Eduardo D. ; Wirth, Fabian:
On equivalence of exponential and asymptotic stability under changes of variables.
Bayreuth , 2000

Grüne, Lars ; Wirth, Fabian:
On the rate of convergence of infinite horizon discounted optimal value functions.
Bayreuth , 2000

Grüne, Lars ; Camilli, Fabio ; Wirth, Fabian:
Zubov's method for perturbed differential equations.
Bayreuth , 2000

Falcone, Maurizio ; Grüne, Lars ; Wirth, Fabian:
A maximum time approach to the computation of robust domains of attraction.
Bayreuth , 2000

Camilli, Fabio ; Grüne, Lars ; Wirth, Fabian:
A regularization of Zubov's equation for robust domains of attraction.
Bayreuth , 2000

Grüne, Lars:
A uniform exponential spectrum for linear flows on vector bundles.
Bayreuth , 2000

1999

Grüne, Lars ; Sontag, Eduardo D. ; Wirth, Fabian:
Asymptotic stability equals exponential stability, and ISS equals finite energy gain - if you twist your eyes.
Bayreuth , 1999

Grüne, Lars:
Convergence Rates of Perturbed Attracting Sets with Vanishing Perturbation.
Bayreuth , 1999

Grüne, Lars ; Wirth, Fabian:
Feedback stabilization of discrete-time homogeneous semi-linear systems.
Bayreuth , 1999

Grüne, Lars:
Input-to-state stability of exponentially stabilized semilinear control systems with inhomogeneous perturbations.
Bayreuth , 1999

Grüne, Lars ; Metscher, Martin ; Ohlberger, Mario:
On Numerical Algorithm and Interactive Visualization for Optimal Control Problems.
Bayreuth , 1999

Grüne, Lars ; Sontag, Eduardo D. ; Wirth, Fabian:
On the equivalence between asymptotic and exponential stability, and between ISS and finite H-infinity gain.
Bayreuth , 1999

Grüne, Lars:
Persistence of attractors for one-step discretization of ordinary differential equations.
Bayreuth , 1999

Grüne, Lars:
Stabilization by sampled and discrete feedback with positive sampling rate.
Bayreuth , 1999

1998

Grüne, Lars:
Asymptotic Controllability and Exponential Stabilization of Nonlinear Control Systems at Singular Points.
Bayreuth , 1998

Camilli, Fabio ; Grüne, Lars:
Maximal solutions for a class of singular Hamilton-Jacobi equations.
Bayreuth , 1998

Grüne, Lars:
Numerical stabilization at singular points.
Bayreuth , 1998

Grüne, Lars:
On input-to-state stabilizability of semilinear control systems.
Bayreuth , 1998

Grüne, Lars ; Wirth, Fabian:
On linear convergence of discounted optimal control problems with vanishing discount rate.
Bayreuth , 1998

Grüne, Lars:
On the Relation between Discounted and Average Optimal Value Functions.
Bayreuth , 1998

Grüne, Lars ; Wirth, Fabian:
Stabilization of discrete-time bilinear systems.
Bayreuth , 1998 . - 2 S.

1997

Grüne, Lars:
Discrete Feedback Stabilization of Nonlinear Control Systems at a Singular Point.
Bayreuth , 1997

Grüne, Lars:
An adaptive grid scheme for the discrete Hamilton-Jacobi-Bellman equation.
Bayreuth , 1997

Grüne, Lars:
A spectral condition for asymptotic controllability and stabilization at singular points.
Bayreuth , 1997

1996

Grüne, Lars:
Numerical Stabilization of Bilinear Control Systems.
Bayreuth , 1996

1994

Baier, Robert ; Lempio, Frank:
Computing Aumann's Integral.
Bayreuth , 1994