Institutions of the University of Bayreuth
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne

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.

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, Julian:
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.

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.

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.

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.