Institutions of the University of Bayreuth
Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne

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

2021

Schaller, Manuel:
Sensitivity Analysis and Goal Oriented Error Estimation for Model Predictive Control.
Bayreuth , 2021 . - IX, 185 P.
( Doctoral thesis, 2021 , University of Bayreuth, Faculty of Mathematics, Physics and Computer Sciences)

Grüne, Lars ; Krügel, Lisa:
Local turnpike analysis using local dissipativity for discrete time discounted optimal control.
In: Applied Mathematics and Optimization. Vol. 84 (2021) Issue 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 P.
( Doctoral thesis, 2020 , University of Bayreuth, Faculty of Mathematics, Physics and Computer Sciences)

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 P.
( Doctoral thesis, 2020 , University of Bayreuth, Faculty of Mathematics, Physics and Computer Sciences)

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 P.
( Doctoral thesis, 2018 , University of Bayreuth, Faculty of Mathematics, Physics and Computer Sciences)

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 P.
( Doctoral thesis, 2018 , University of Bayreuth, Faculty of Mathematics, Physics and Computer Sciences)

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 P.
( Doctoral thesis, 2016 , University of Bayreuth, Faculty of Mathematics, Physics and Computer Sciences)

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 P.
( Doctoral thesis, 2016 , University of Bayreuth, Faculty of Mathematics, Physics and Computer Sciences)

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 P.
( Doctoral thesis, 2014 , University of Bayreuth, Faculty of Mathematics, Physics and Computer Sciences)

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 L. ; 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:
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 R.:
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 R.:
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