Institutionen der Universität Bayreuth
Fakultäten > Fakultät für Mathematik, Physik und Informatik > Mathematisches Institut > Lehrstuhl Mathematik V (Angewandte Mathematik) > Lehrstuhl Mathematik V (Angewandte Mathematik) - Univ.-Prof. Dr. Lars Grüne

2019

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 ; 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 , 2018 . - 22 S.

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

Fleig, Arthur ; Grüne, Lars:
On Dissipativity of the Fokker-Planck Equation for the Ornstein-Uhlenbeck Process.
Bayreuth , 2018 . - 7 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.

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

Grüne, Lars ; Müller, Matthias A. ; Kellett, Christopher M. ; Weller, Steven R.:
Strict dissipativity for discrete time discounted optimal control problems.
Bayreuth ; Stuttgart ; Newcastle, Australia , 2018 . - 26 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.

Fleig, Arthur ; Grüne, Lars:
L²-Tracking of Gaussian Distributions via Model Predictive Control for the Fokker-Planck Equation.
Bayreuth , 2018 . - 32 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.

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.

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

Schiela, Anton ; Ortiz, Julian:
Second order directional shape derivatives.
Bayreuth , 2017 . - 29 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.

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.