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Author ID: grune.lars Recent zbMATH articles by "Grüne, Lars"
Published as: Grüne, Lars; Grüne, L.; Gruene, Lars
Homepage: https://num.math.uni-bayreuth.de/de/team/lars-gruene/
External Links: MGP · ORCID · Wikidata · Google Scholar · dblp
all top 5

Co-Authors

27 single-authored
15 Wirth, Fabian Roger
14 Worthmann, Karl
10 Semmler, Willi
9 Kellett, Christopher M.
8 Faulwasser, Timm
8 Pannek, Jürgen
8 Schaller, Manuel
7 Junge, Oliver
7 Kloeden, Peter Eris
6 Baumann, Michael Heinrich
6 Camilli, Fabio
6 Margaliot, Michael
6 Weller, Steven R.
5 Kriecherbauer, Thomas
5 Müller, Matthias A.
5 Nešić, Dragan
5 Schießl, Jonas
4 Allgower, Frank
4 Braun, Philipp
4 Krügel, Lisa
4 Ou, Ruchuan
4 Pirkelmann, Simon
4 Schiela, Anton
4 Stieler, Marleen
3 Baier, Robert
3 Falcone, Maurizio
3 Zidani, Hasnaa
2 Colonius, Fritz
2 Diehl, Moritz Mathias
2 Dower, Peter M.
2 Ferretti, Roberto Giorgio
2 Fleig, Arthur
2 Gaitsgory, Vladimir G.
2 Geiselhart, Roman
2 Guglielmi, Roberto
2 Hafstein, Sigurður Freyr
2 Kalise, Dante
2 Karafyllis, Iasson
2 Li, Huijuan
2 Lunze, Jan
2 Mechelli, Luca
2 Meurer, Thomas
2 Noroozi, Navid
2 Reble, Marcus
2 Seehafer, Martin
2 Sigurani, Manuela
2 Sontag, Eduardo D.
2 Volkwein, Stefan
2 Yegorov, Ivan V.
1 Altmüller, Nils
1 Andrej, Julian
1 Angeli, David
1 Aoyama, Hideaki
1 Bauer, Florian
1 Becker, Stephanie
1 Boccia, Andrea
1 Bock, Hans Georg
1 Bold, Lea
1 Botner, Meir
1 Caillau, Jean-Baptiste
1 Caraballo Garrido, Tomás
1 Cesaroni, Annalisa
1 Coron, Jean-Michel
1 Cyganowski, Sasha
1 Damm, Tobias
1 Eichfelder, Gabriele
1 Ernst, Andreas T.
1 Findeisen, Rolf
1 Fischer, Jörg
1 Fujiwara, Yoshi
1 Groß, Dominic
1 Hanebeck, Uwe D.
1 Hirche, Sandra
1 Höger, Matthias
1 Humaloja, Jukka-Pekka
1 Katz, Rami
1 Kern, Benjamin
1 Kliemann, Wolfgang H.
1 Köhler, Johannes
1 Kohler, Matthias
1 Koltai, Péter
1 Lehmann, Daniel
1 McEneaney, William “Mac” M.
1 Metscher, M.
1 Molin, Adam
1 Morris, Kirsten A.
1 Muff, David
1 Ofir, Ron
1 Ohlberger, Mario
1 Palma, Vryan Gil S.
1 Picarelli, Athena
1 Pinho, Maria Norberta
1 Pioch, Kilian
1 Rantzer, Anders
1 Rieger, Janosch
1 Rüffer, Björn Sebastian
1 Sager, Sebastian
1 Sailer, Rudolf
1 Saint-Pierre, Patrick
1 Saluzzi, Luca
...and 14 more Co-Authors
all top 5

Serials

15 Systems & Control Letters
14 SIAM Journal on Control and Optimization
8 IEEE Transactions on Automatic Control
5 Automatica
5 Discrete and Continuous Dynamical Systems. Series B
5 Mathematical Control and Related Fields
4 Discrete and Continuous Dynamical Systems
3 Numerische Mathematik
3 Optimal Control Applications & Methods
3 Journal of Economic Dynamics & Control
2 Journal of Mathematical Analysis and Applications
2 Journal of Differential Equations
2 Journal of Optimization Theory and Applications
2 SIAM Journal on Numerical Analysis
2 Applied Numerical Mathematics
2 Computational Economics
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Stochastics and Dynamics
2 GAMM-Mitteilungen
2 Journal of Computational Dynamics
2 Communications and Control Engineering
1 Computers & Mathematics with Applications
1 IMA Journal of Numerical Analysis
1 International Journal of Control
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Applied Mathematics and Optimization
1 BIT
1 Journal of Global Optimization
1 SIAM Review
1 Journal of Dynamics and Differential Equations
1 Computational Optimization and Applications
1 SIAM Journal on Scientific Computing
1 Economic Theory
1 NoDEA. Nonlinear Differential Equations and Applications
1 Journal of Difference Equations and Applications
1 Computing and Visualization in Science
1 Vietnam Journal of Mathematics
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Nonlinear Analysis. Real World Applications
1 SIAM Journal on Applied Dynamical Systems
1 Oberwolfach Reports
1 Lecture Notes in Control and Information Sciences
1 Lecture Notes in Mathematics
1 Systems & Control: Foundations & Applications
1 Vieweg Studium
1 PAMM. Proceedings in Applied Mathematics and Mechanics
1 Advances in Operations Research
1 Springer INdAM Series
1 Pure and Applied Functional Analysis
1 SpringerBriefs in Mathematics
1 Springer Studium Mathematik – Bachelor

Publications by Year

Citations contained in zbMATH Open

105 Publications have been cited 1,404 times in 763 Documents Cited by Year
Nonlinear model predictive control. Theory and algorithms. Zbl 1220.93001
Grüne, Lars; Pannek, Jürgen
97
2011
Nonlinear model predictive control. Theory and algorithms. 2nd edition. Zbl 1429.93003
Grüne, Lars; Pannek, Jürgen
77
2017
Economic receding horizon control without terminal constraints. Zbl 1267.93052
Grüne, Lars
68
2013
An exponential turnpike theorem for dissipative discrete time optimal control problems. Zbl 1303.49013
Damm, Tobias; Grüne, Lars; Stieler, Marleen; Worthmann, Karl
52
2014
The dynamics of control. With an appendix by Lars Grüne. Zbl 1020.93500
Colonius, Fritz; Kliemann, Wolfgang
50
2000
Analysis and design of unconstrained nonlinear MPC schemes for finite and infinite dimensional systems. Zbl 1194.49045
Grüne, Lars
50
2009
Asymptotic behavior of dynamical and control systems under perturbation and discretization. Zbl 0991.37001
Grüne, Lars
47
2002
On the infinite horizon performance of receding horizon controllers. Zbl 1367.90109
Grüne, Lars; Rantzer, Anders
39
2008
Homogeneous state feedback stabilization of homogeneous systems. Zbl 0958.93077
Grüne, Lars
38
2000
Lyapunov-based continuous-time nonlinear controller redesign for sampled-data implementation. Zbl 1115.93064
Nešić, Dragan; Grüne, Lars
38
2005
An adaptive grid scheme for the discrete Hamilton-Jacobi-Bellman equation. Zbl 0880.65045
Grüne, Lars
36
1997
On the relation between strict dissipativity and turnpike properties. Zbl 1335.93117
Grüne, Lars; Müller, Matthias A.
35
2016
Analysis of unconstrained nonlinear MPC schemes with time varying control horizon. Zbl 1208.49046
Grüne, Lars; Pannek, Jürgen; Seehafer, Martin; Worthmann, Karl
32
2010
Using dynamic programming with adaptive grid scheme for optimal control problems in economics. Zbl 1202.49026
Grüne, Lars; Semmler, Willi
32
2004
Exponential sensitivity and turnpike analysis for linear quadratic optimal control of general evolution equations. Zbl 1436.49044
Grüne, Lars; Schaller, Manuel; Schiela, Anton
30
2020
Optimization-based stabilization of sampled-data nonlinear systems via their approximate discrete-time models. Zbl 1044.93053
Grüne, Lars; Nesić, Dragan
29
2003
A generalization of Zubov’s method to perturbed systems. Zbl 1006.93061
Camilli, Fabio; Grüne, Lars; Wirth, Fabian
28
2001
Input-to-state dynamical stability and its Lyapunov function characterization. Zbl 1364.93567
Grüne, Lars
26
2002
Stability and feasibility of state constrained MPC without stabilizing terminal constraints. Zbl 1297.93068
Boccia, Andrea; Grüne, Lars; Worthmann, Karl
25
2014
Linear programming based Lyapunov function computation for differential inclusions. Zbl 1235.93222
Baier, Robert; Grüne, Lars; Hafstein, Sigurður Freyr
23
2012
Turnpike properties and strict dissipativity for discrete time linear quadratic optimal control problems. Zbl 1387.49027
Grüne, Lars; Guglielmi, Roberto
23
2018
On the relation between discounted and average optimal value functions. Zbl 0918.49002
Grüne, Lars
21
1998
Pathwise approximation of random ordinary differential equations. Zbl 0998.65010
Grüne, L.; Kloeden, P. E.
21
2001
Higher order numerical schemes for affinely controlled nonlinear systems. Zbl 0992.65075
Grüne, L.; Kloeden, P. E.
19
2001
Periodic optimal control, dissipativity and MPC. Zbl 1369.93356
Zanon, Mario; Grüne, Lars; Diehl, Moritz
17
2017
Sensitivity analysis of optimal control for a class of parabolic PDEs motivated by model predictive control. Zbl 1420.49025
Grüne, Lars; Schaller, Manuel; Schiela, Anton
17
2019
Asymptotic controllability and exponential stabilization of nonlinear control systems at singular points. Zbl 0910.93063
Grüne, Lars
16
1998
Asymptotic stability equals exponential stability, and ISS equals finite energy gain – if you twist your eyes. Zbl 1043.93549
Grüne, Lars; Sontag, Eduardo D.; Wirth, Fabian R.
16
1999
Stabilization with discounted optimal control. Zbl 1327.93324
Gaitsgory, Vladimir; Grüne, Lars; Thatcher, Neil
14
2015
Control Lyapunov functions and Zubov’s method. Zbl 1157.93028
Camilli, Fabio; Grüne, Lars; Wirth, Fabian
13
2008
Approximation properties of receding horizon optimal control. Zbl 1336.93060
Grüne, Lars
13
2016
Global optimal control of perturbed systems. Zbl 1147.49019
Grüne, L.; Junge, O.
12
2008
Economic model predictive control without terminal constraints for optimal periodic behavior. Zbl 1339.93051
Müller, Matthias A.; Grüne, Lars
12
2016
Using nonlinear model predictive control for dynamic decision problems in economics. Zbl 1401.93094
Grüne, Lars; Semmler, Willi; Stieler, Marleen
12
2015
Distributed and boundary model predictive control for the heat equation. Zbl 1256.49033
Altmüller, Nils; Grüne, Lars
12
2012
A receding horizon control approach to sampled-data implementation of continuous-time controllers. Zbl 1100.93042
Nešić, Dragan; Grüne, Lars
11
2006
Continuous-time controller redesign for digital implementation: a trajectory based approach. Zbl 1138.93350
Grüne, Lars; Worthmann, Karl; Nešić, Dragan
10
2008
Asset pricing with loss aversion. Zbl 1181.91072
Grüne, Lars; Semmler, Willi
10
2008
Attraction rates, robustness, and discretization of attractors. Zbl 1058.65081
Grüne, Lars
10
2003
The role of sampling for stability and performance in unconstrained nonlinear model predictive control. Zbl 1292.93061
Worthmann, Karl; Reble, Marcus; Grüne, Lars; Allgöwer, Frank
10
2014
Value iteration convergence of \(\varepsilon\)-monotone schemes for stationary Hamilton-Jacobi equations. Zbl 1334.65180
Bokanowski, Olivier; Falcone, Maurizio; Ferretti, Roberto; Grüne, Lars; Kalise, Dante; Zidani, Hasnaa
10
2015
ISS-Lyapunov functions for discontinuous discrete-time systems. Zbl 1360.93497
Grüne, Lars; Kellett, Christopher M.
10
2014
On the relation between turnpike properties and dissipativity for continuous time linear quadratic optimal control problems. Zbl 1462.49058
Grüne, Lars; Guglielmi, Roberto
10
2021
Characterizing attraction probabilities via the stochastic Zubov equation. Zbl 1123.60311
Camilli, Fabio; Grüne, Lars
9
2003
Lyapunov’s second method for nonautonomous differential equations. Zbl 1128.37010
Grüne, Lars; Kloeden, Peter E.; Siegmund, Stefan; Wirth, Fabian R.
9
2007
Numerical approximation of the maximal solutions for a class of degenerate Hamilton-Jacobi equations. Zbl 0988.65077
Camilli, Fabio; Grüne, Lars
9
2000
A regularization of Zubov’s equation for robust domains of attraction. Zbl 1239.93048
Camilli, Fabio; Grüne, Lars; Wirth, Fabian
9
2001
Feedback stabilization methods for the numerical solution of ordinary differential equations. Zbl 1237.65085
Karafyllis, Iasson; Grüne, Lars
9
2011
A distributed NMPC scheme without stabilizing terminal constraints. Zbl 1328.93103
Grüne, Lars; Worthmann, Karl
9
2012
Turnpike properties in optimal control: an overview of discrete-time and continuous-time results. Zbl 1495.49019
Faulwasser, Timm; Grüne, Lars
9
2022
A uniform exponential spectrum for linear flows on vector bundles. Zbl 0983.37032
Grüne, Lars
8
2000
A set oriented approach to optimal feedback stabilization. Zbl 1129.93500
Grüne, Lars; Junge, Oliver
8
2005
Numerical stabilization of bilinear control systems. Zbl 0876.93032
Grüne, Lars
8
1996
Model predictive control, cost controllability, and homogeneity. Zbl 1453.93083
Coron, Jean-Michel; Grüne, Lars; Worthmann, Karl
8
2020
Stabilization of strictly dissipative discrete time systems with discounted optimal control. Zbl 1400.93267
Gaitsgory, Vladimir; Grüne, Lars; Höger, Matthias; Kellett, Christopher M.; Weller, Steven R.
8
2018
Comparing accuracy of second-order approximation and dynamic programming. Zbl 1282.91209
Becker, Stephanie; Grüne, Lars; Semmler, Willi
7
2007
Error estimation and adaptive discretization for the discrete stochastic Hamilton-Jacobi-Bellman equation. Zbl 1074.65009
Grüne, Lars
7
2004
On the relation between turnpike properties for finite and infinite horizon optimal control problems. Zbl 1380.49055
Grüne, Lars; Kellett, Christopher M.; Weller, Steven R.
7
2017
A distributed optimization algorithm for the predictive control of smart grids. Zbl 1359.93270
Braun, Philipp; Grüne, Lars; Kellett, Christopher M.; Weller, Steven R.; Worthmann, Karl
7
2016
Higher order numerical approximation of switching systems. Zbl 1100.93022
Grüne, L.; Kloeden, P. E.
6
2006
Practical NMPC suboptimality estimates along trajectories. Zbl 1159.93013
Grüne, L.; Pannek, J.
6
2009
Discrete feedback stabilization of semilinear control systems. Zbl 0867.93071
Grüne, Lars
6
1996
Computation of local ISS Lyapunov functions with low gains via linear programming. Zbl 1366.37146
Li, Huijuan; Baier, Robert; Grüne, Lars; Hafstein, Sigurdur F.; Wirth, Fabian R.
6
2015
Nonconservative discrete-time ISS small-gain conditions for closed sets. Zbl 1395.93506
Noroozi, Navid; Geiselhart, Roman; Grüne, Lars; Rüffer, Björn S.; Wirth, Fabian R.
6
2018
Strict dissipativity implies turnpike behavior for time-varying discrete time optimal control problems. Zbl 1401.49035
Grüne, Lars; Pirkelmann, Simon; Stieler, Marleen
6
2018
Stabilization by sampled and discrete feedback with positive sampling rate. Zbl 0945.93604
Grüne, Lars
5
1999
Feedback stabilization of discrete-time homogeneous semi-linear systems. Zbl 0917.93058
Grüne, Lars; Wirth, Fabian
5
1999
Discretization, inflation and perturbation of attractors. Zbl 0996.37013
Grüne, L.; Kloeden, P. E.
5
2001
Economic model predictive control for time-varying system: performance and stability results. Zbl 1451.93095
Grüne, Lars; Pirkelmann, Simon
5
2020
Finite-dimensional output stabilization for a class of linear distributed parameter systems – a small-gain approach. Zbl 1492.93150
Grüne, L.; Meurer, T.
5
2022
Abstract nonlinear sensitivity and turnpike analysis and an application to semilinear parabolic PDEs. Zbl 1467.49037
Grüne, Lars; Schaller, Manuel; Schiela, Anton
5
2021
Model predictive control for nonlinear sampled-data systems. Zbl 1223.93081
Grüne, L.; Nešić, D.; Pannek, J.
4
2007
Differential games and Zubov’s method. Zbl 1237.49054
Grüne, Lars; Serea, Oana Silvia
4
2011
Stabilization of controlled diffusions and Zubov’s method. Zbl 1135.93033
Camilli, Fabio; Cesaroni, Annalisa; Grüne, Lars; Wirth, Fabian
4
2006
On numerical algorithm and interactive visualization for optimal control problems. Zbl 0970.65073
Grüne, L.; Metscher, M.; Ohlberger, M.
4
1999
Creditworthiness and thresholds in a credit market model with multiple equilibria. Zbl 1107.91361
Grüne, Lars; Semmler, Willi; Sieveking, Malte
4
2005
Strict dissipativity for discrete time discounted optimal control problems. Zbl 1481.49009
Grüne, Lars; Müller, Matthias A.; Kellett, Christopher M.; Weller, Steven R.
4
2021
Computing Lyapunov functions using deep neural networks. Zbl 1507.68267
Grüne, Lars
4
2021
Asset pricing with dynamic programming. Zbl 1161.91447
Grüne, Lars; Semmler, Willi
3
2007
Input-to-state stability of exponentially stabilized semilinear control systems with inhomogeneous perturbations. Zbl 0948.93051
Grüne, Lars
3
1999
Maple for stochastic differential equations. Zbl 0991.65006
Cyganowski, S.; Grüne, L.; Kloeden, P. E.
3
2001
Adaptive spline interpolation for Hamilton-Jacobi-Bellman equations. Zbl 1100.65056
Bauer, Florian; Grüne, Lars; Semmler, Willi
3
2006
Zubov’s equation for state-constrained perturbed nonlinear systems. Zbl 1322.93080
Grüne, Lars; Zidani, Hasnaa
3
2015
Zubov’s method for controlled diffusions with state constraints. Zbl 1323.93019
Grüne, Lars; Picarelli, Athena
3
2015
Simultaneously long short trading in discrete and continuous time. Zbl 1353.93116
Baumann, Michael Heinrich; Grüne, Lars
3
2017
Robustness of performance and stability for multistep and updated multistep MPC schemes. Zbl 1334.49099
Grüne, Lars; Palma, Vryan Gil
3
2015
Efficient model predictive control for parabolic PDEs with goal oriented error estimation. Zbl 1492.35391
Grüne, Lars; Schaller, Manuel; Schiela, Anton
3
2022
On approximating contractive systems. Zbl 1390.93186
Botner, Meir; Zarai, Yoram; Margaliot, Michael; Grüne, Lars
3
2017
Multiobjective model predictive control for stabilizing cost criteria. Zbl 1421.93050
Grüne, Lars; Stieler, Marleen
3
2019
On the rate of convergence of infinite horizon discounted optimal value functions. Zbl 0974.49002
Grüne, Lars; Wirth, Fabian
2
2000
Adaptive grid generation for evolutive Hamilton-Jacobi-Bellman equations. Zbl 0988.65088
Grüne, Lars
2
2001
Computation of local ISS Lyapunov functions for discrete-time systems via linear programming. Zbl 1332.93328
Li, Huijuan; Grüne, Lars
2
2016
A double-sided dynamic programming approach to the minimum time problem and its numerical approximation. Zbl 1372.65193
Grüne, Lars; Le, Thuy T. T.
2
2017
Input-to-state stability, numerical dynamics and sampled-data control. Zbl 1196.93068
Grüne, Lars
2
2008
Dynamics, bifurcations, and control. 3rd nonlinear control workshop, Kloster Irsee, Germany, April 1–3, 2001. Zbl 0994.00036
2
2002
Numerical construction of nonsmooth control Lyapunov functions. Zbl 1414.93168
Baier, Robert; Braun, Philipp; Grüne, Lars; Kellett, Christopher M.
2
2018
Performance estimates for economic model predictive control and their application in proper orthogonal decomposition-based implementations. Zbl 1471.93084
Grüne, Lars; Mechelli, Luca; Pirkelmann, Simon; Volkwein, Stefan
2
2021
\(L^2\)-tracking of Gaussian distributions via model predictive control for the Fokker-Planck equation. Zbl 1406.35411
Fleig, Arthur; Grüne, Lars
2
2018
An invariance kernel representation of ISDS Lyapunov functions. Zbl 1100.93044
Grüne, Lars; Saint-Pierre, Patrick
1
2006
Relaxed dissipativity assumptions and a simplified algorithm for multiobjective MPC. Zbl 07786395
Eichfelder, Gabriele; Grüne, Lars; Krügel, Lisa; Schießl, Jonas
1
2023
Relaxed dissipativity assumptions and a simplified algorithm for multiobjective MPC. Zbl 07786395
Eichfelder, Gabriele; Grüne, Lars; Krügel, Lisa; Schießl, Jonas
1
2023
Turnpike properties in optimal control: an overview of discrete-time and continuous-time results. Zbl 1495.49019
Faulwasser, Timm; Grüne, Lars
9
2022
Finite-dimensional output stabilization for a class of linear distributed parameter systems – a small-gain approach. Zbl 1492.93150
Grüne, L.; Meurer, T.
5
2022
Efficient model predictive control for parabolic PDEs with goal oriented error estimation. Zbl 1492.35391
Grüne, Lars; Schaller, Manuel; Schiela, Anton
3
2022
Parallelized POD-based suboptimal economic model predictive control of a state-constrained Boussinesq approximation. Zbl 1524.65506
Andrej, Julian; Grüne, Lars; Mechelli, Luca; Meurer, Thomas; Pirkelmann, Simon; Volkwein, Stefan
1
2022
The interval turnpike property for adjoints. Zbl 1500.49011
Faulwasser, Timm; Grüne, Lars; Humaloja, Jukka-Pekka; Schaller, Manuel
1
2022
On the relation between turnpike properties and dissipativity for continuous time linear quadratic optimal control problems. Zbl 1462.49058
Grüne, Lars; Guglielmi, Roberto
10
2021
Abstract nonlinear sensitivity and turnpike analysis and an application to semilinear parabolic PDEs. Zbl 1467.49037
Grüne, Lars; Schaller, Manuel; Schiela, Anton
5
2021
Strict dissipativity for discrete time discounted optimal control problems. Zbl 1481.49009
Grüne, Lars; Müller, Matthias A.; Kellett, Christopher M.; Weller, Steven R.
4
2021
Computing Lyapunov functions using deep neural networks. Zbl 1507.68267
Grüne, Lars
4
2021
Performance estimates for economic model predictive control and their application in proper orthogonal decomposition-based implementations. Zbl 1471.93084
Grüne, Lars; Mechelli, Luca; Pirkelmann, Simon; Volkwein, Stefan
2
2021
Local turnpike analysis using local dissipativity for discrete time discounted optimal control. Zbl 1485.49032
Grüne, Lars; Krügel, Lisa
1
2021
(In-)stability of differential inclusions. Notions, equivalences, and Lyapunov-like characterizations. Zbl 1482.34002
Braun, Philipp; Grüne, Lars; Kellett, Christopher M.
1
2021
Exponential sensitivity and turnpike analysis for linear quadratic optimal control of general evolution equations. Zbl 1436.49044
Grüne, Lars; Schaller, Manuel; Schiela, Anton
30
2020
Model predictive control, cost controllability, and homogeneity. Zbl 1453.93083
Coron, Jean-Michel; Grüne, Lars; Worthmann, Karl
8
2020
Economic model predictive control for time-varying system: performance and stability results. Zbl 1451.93095
Grüne, Lars; Pirkelmann, Simon
5
2020
Sensitivity analysis of optimal control for a class of parabolic PDEs motivated by model predictive control. Zbl 1420.49025
Grüne, Lars; Schaller, Manuel; Schiela, Anton
17
2019
Multiobjective model predictive control for stabilizing cost criteria. Zbl 1421.93050
Grüne, Lars; Stieler, Marleen
3
2019
Turnpike properties and strict dissipativity for discrete time linear quadratic optimal control problems. Zbl 1387.49027
Grüne, Lars; Guglielmi, Roberto
23
2018
Stabilization of strictly dissipative discrete time systems with discounted optimal control. Zbl 1400.93267
Gaitsgory, Vladimir; Grüne, Lars; Höger, Matthias; Kellett, Christopher M.; Weller, Steven R.
8
2018
Nonconservative discrete-time ISS small-gain conditions for closed sets. Zbl 1395.93506
Noroozi, Navid; Geiselhart, Roman; Grüne, Lars; Rüffer, Björn S.; Wirth, Fabian R.
6
2018
Strict dissipativity implies turnpike behavior for time-varying discrete time optimal control problems. Zbl 1401.49035
Grüne, Lars; Pirkelmann, Simon; Stieler, Marleen
6
2018
Numerical construction of nonsmooth control Lyapunov functions. Zbl 1414.93168
Baier, Robert; Braun, Philipp; Grüne, Lars; Kellett, Christopher M.
2
2018
\(L^2\)-tracking of Gaussian distributions via model predictive control for the Fokker-Planck equation. Zbl 1406.35411
Fleig, Arthur; Grüne, Lars
2
2018
Nonlinear model predictive control. Theory and algorithms. 2nd edition. Zbl 1429.93003
Grüne, Lars; Pannek, Jürgen
77
2017
Periodic optimal control, dissipativity and MPC. Zbl 1369.93356
Zanon, Mario; Grüne, Lars; Diehl, Moritz
17
2017
On the relation between turnpike properties for finite and infinite horizon optimal control problems. Zbl 1380.49055
Grüne, Lars; Kellett, Christopher M.; Weller, Steven R.
7
2017
Simultaneously long short trading in discrete and continuous time. Zbl 1353.93116
Baumann, Michael Heinrich; Grüne, Lars
3
2017
On approximating contractive systems. Zbl 1390.93186
Botner, Meir; Zarai, Yoram; Margaliot, Michael; Grüne, Lars
3
2017
A double-sided dynamic programming approach to the minimum time problem and its numerical approximation. Zbl 1372.65193
Grüne, Lars; Le, Thuy T. T.
2
2017
On the relation between strict dissipativity and turnpike properties. Zbl 1335.93117
Grüne, Lars; Müller, Matthias A.
35
2016
Approximation properties of receding horizon optimal control. Zbl 1336.93060
Grüne, Lars
13
2016
Economic model predictive control without terminal constraints for optimal periodic behavior. Zbl 1339.93051
Müller, Matthias A.; Grüne, Lars
12
2016
A distributed optimization algorithm for the predictive control of smart grids. Zbl 1359.93270
Braun, Philipp; Grüne, Lars; Kellett, Christopher M.; Weller, Steven R.; Worthmann, Karl
7
2016
Computation of local ISS Lyapunov functions for discrete-time systems via linear programming. Zbl 1332.93328
Li, Huijuan; Grüne, Lars
2
2016
Stabilization with discounted optimal control. Zbl 1327.93324
Gaitsgory, Vladimir; Grüne, Lars; Thatcher, Neil
14
2015
Using nonlinear model predictive control for dynamic decision problems in economics. Zbl 1401.93094
Grüne, Lars; Semmler, Willi; Stieler, Marleen
12
2015
Value iteration convergence of \(\varepsilon\)-monotone schemes for stationary Hamilton-Jacobi equations. Zbl 1334.65180
Bokanowski, Olivier; Falcone, Maurizio; Ferretti, Roberto; Grüne, Lars; Kalise, Dante; Zidani, Hasnaa
10
2015
Computation of local ISS Lyapunov functions with low gains via linear programming. Zbl 1366.37146
Li, Huijuan; Baier, Robert; Grüne, Lars; Hafstein, Sigurdur F.; Wirth, Fabian R.
6
2015
Zubov’s equation for state-constrained perturbed nonlinear systems. Zbl 1322.93080
Grüne, Lars; Zidani, Hasnaa
3
2015
Zubov’s method for controlled diffusions with state constraints. Zbl 1323.93019
Grüne, Lars; Picarelli, Athena
3
2015
Robustness of performance and stability for multistep and updated multistep MPC schemes. Zbl 1334.49099
Grüne, Lars; Palma, Vryan Gil
3
2015
An exponential turnpike theorem for dissipative discrete time optimal control problems. Zbl 1303.49013
Damm, Tobias; Grüne, Lars; Stieler, Marleen; Worthmann, Karl
52
2014
Stability and feasibility of state constrained MPC without stabilizing terminal constraints. Zbl 1297.93068
Boccia, Andrea; Grüne, Lars; Worthmann, Karl
25
2014
The role of sampling for stability and performance in unconstrained nonlinear model predictive control. Zbl 1292.93061
Worthmann, Karl; Reble, Marcus; Grüne, Lars; Allgöwer, Frank
10
2014
ISS-Lyapunov functions for discontinuous discrete-time systems. Zbl 1360.93497
Grüne, Lars; Kellett, Christopher M.
10
2014
Economic receding horizon control without terminal constraints. Zbl 1267.93052
Grüne, Lars
68
2013
Linear programming based Lyapunov function computation for differential inclusions. Zbl 1235.93222
Baier, Robert; Grüne, Lars; Hafstein, Sigurður Freyr
23
2012
Distributed and boundary model predictive control for the heat equation. Zbl 1256.49033
Altmüller, Nils; Grüne, Lars
12
2012
A distributed NMPC scheme without stabilizing terminal constraints. Zbl 1328.93103
Grüne, Lars; Worthmann, Karl
9
2012
Nonlinear model predictive control. Theory and algorithms. Zbl 1220.93001
Grüne, Lars; Pannek, Jürgen
97
2011
Feedback stabilization methods for the numerical solution of ordinary differential equations. Zbl 1237.65085
Karafyllis, Iasson; Grüne, Lars
9
2011
Differential games and Zubov’s method. Zbl 1237.49054
Grüne, Lars; Serea, Oana Silvia
4
2011
Analysis of unconstrained nonlinear MPC schemes with time varying control horizon. Zbl 1208.49046
Grüne, Lars; Pannek, Jürgen; Seehafer, Martin; Worthmann, Karl
32
2010
Analysis and design of unconstrained nonlinear MPC schemes for finite and infinite dimensional systems. Zbl 1194.49045
Grüne, Lars
50
2009
Practical NMPC suboptimality estimates along trajectories. Zbl 1159.93013
Grüne, L.; Pannek, J.
6
2009
On the infinite horizon performance of receding horizon controllers. Zbl 1367.90109
Grüne, Lars; Rantzer, Anders
39
2008
Control Lyapunov functions and Zubov’s method. Zbl 1157.93028
Camilli, Fabio; Grüne, Lars; Wirth, Fabian
13
2008
Global optimal control of perturbed systems. Zbl 1147.49019
Grüne, L.; Junge, O.
12
2008
Continuous-time controller redesign for digital implementation: a trajectory based approach. Zbl 1138.93350
Grüne, Lars; Worthmann, Karl; Nešić, Dragan
10
2008
Asset pricing with loss aversion. Zbl 1181.91072
Grüne, Lars; Semmler, Willi
10
2008
Input-to-state stability, numerical dynamics and sampled-data control. Zbl 1196.93068
Grüne, Lars
2
2008
Lyapunov’s second method for nonautonomous differential equations. Zbl 1128.37010
Grüne, Lars; Kloeden, Peter E.; Siegmund, Stefan; Wirth, Fabian R.
9
2007
Comparing accuracy of second-order approximation and dynamic programming. Zbl 1282.91209
Becker, Stephanie; Grüne, Lars; Semmler, Willi
7
2007
Model predictive control for nonlinear sampled-data systems. Zbl 1223.93081
Grüne, L.; Nešić, D.; Pannek, J.
4
2007
Asset pricing with dynamic programming. Zbl 1161.91447
Grüne, Lars; Semmler, Willi
3
2007
Default risk, asset pricing, and debt control. Zbl 1418.91586
Grüne, Lars; Semmler, Willi
1
2007
A receding horizon control approach to sampled-data implementation of continuous-time controllers. Zbl 1100.93042
Nešić, Dragan; Grüne, Lars
11
2006
Higher order numerical approximation of switching systems. Zbl 1100.93022
Grüne, L.; Kloeden, P. E.
6
2006
Stabilization of controlled diffusions and Zubov’s method. Zbl 1135.93033
Camilli, Fabio; Cesaroni, Annalisa; Grüne, Lars; Wirth, Fabian
4
2006
Adaptive spline interpolation for Hamilton-Jacobi-Bellman equations. Zbl 1100.65056
Bauer, Florian; Grüne, Lars; Semmler, Willi
3
2006
An invariance kernel representation of ISDS Lyapunov functions. Zbl 1100.93044
Grüne, Lars; Saint-Pierre, Patrick
1
2006
Lyapunov-based continuous-time nonlinear controller redesign for sampled-data implementation. Zbl 1115.93064
Nešić, Dragan; Grüne, Lars
38
2005
A set oriented approach to optimal feedback stabilization. Zbl 1129.93500
Grüne, Lars; Junge, Oliver
8
2005
Creditworthiness and thresholds in a credit market model with multiple equilibria. Zbl 1107.91361
Grüne, Lars; Semmler, Willi; Sieveking, Malte
4
2005
Using dynamic programming with adaptive grid scheme for optimal control problems in economics. Zbl 1202.49026
Grüne, Lars; Semmler, Willi
32
2004
Error estimation and adaptive discretization for the discrete stochastic Hamilton-Jacobi-Bellman equation. Zbl 1074.65009
Grüne, Lars
7
2004
Optimization-based stabilization of sampled-data nonlinear systems via their approximate discrete-time models. Zbl 1044.93053
Grüne, Lars; Nesić, Dragan
29
2003
Attraction rates, robustness, and discretization of attractors. Zbl 1058.65081
Grüne, Lars
10
2003
Characterizing attraction probabilities via the stochastic Zubov equation. Zbl 1123.60311
Camilli, Fabio; Grüne, Lars
9
2003
Asymptotic behavior of dynamical and control systems under perturbation and discretization. Zbl 0991.37001
Grüne, Lars
47
2002
Input-to-state dynamical stability and its Lyapunov function characterization. Zbl 1364.93567
Grüne, Lars
26
2002
Dynamics, bifurcations, and control. 3rd nonlinear control workshop, Kloster Irsee, Germany, April 1–3, 2001. Zbl 0994.00036
2
2002
A generalization of Zubov’s method to perturbed systems. Zbl 1006.93061
Camilli, Fabio; Grüne, Lars; Wirth, Fabian
28
2001
Pathwise approximation of random ordinary differential equations. Zbl 0998.65010
Grüne, L.; Kloeden, P. E.
21
2001
Higher order numerical schemes for affinely controlled nonlinear systems. Zbl 0992.65075
Grüne, L.; Kloeden, P. E.
19
2001
A regularization of Zubov’s equation for robust domains of attraction. Zbl 1239.93048
Camilli, Fabio; Grüne, Lars; Wirth, Fabian
9
2001
Discretization, inflation and perturbation of attractors. Zbl 0996.37013
Grüne, L.; Kloeden, P. E.
5
2001
Maple for stochastic differential equations. Zbl 0991.65006
Cyganowski, S.; Grüne, L.; Kloeden, P. E.
3
2001
Adaptive grid generation for evolutive Hamilton-Jacobi-Bellman equations. Zbl 0988.65088
Grüne, Lars
2
2001
The dynamics of control. With an appendix by Lars Grüne. Zbl 1020.93500
Colonius, Fritz; Kliemann, Wolfgang
50
2000
Homogeneous state feedback stabilization of homogeneous systems. Zbl 0958.93077
Grüne, Lars
38
2000
Numerical approximation of the maximal solutions for a class of degenerate Hamilton-Jacobi equations. Zbl 0988.65077
Camilli, Fabio; Grüne, Lars
9
2000
A uniform exponential spectrum for linear flows on vector bundles. Zbl 0983.37032
Grüne, Lars
8
2000
On the rate of convergence of infinite horizon discounted optimal value functions. Zbl 0974.49002
Grüne, Lars; Wirth, Fabian
2
2000
Asymptotic stability equals exponential stability, and ISS equals finite energy gain – if you twist your eyes. Zbl 1043.93549
Grüne, Lars; Sontag, Eduardo D.; Wirth, Fabian R.
16
1999
Stabilization by sampled and discrete feedback with positive sampling rate. Zbl 0945.93604
Grüne, Lars
5
1999
Feedback stabilization of discrete-time homogeneous semi-linear systems. Zbl 0917.93058
Grüne, Lars; Wirth, Fabian
5
1999
On numerical algorithm and interactive visualization for optimal control problems. Zbl 0970.65073
Grüne, L.; Metscher, M.; Ohlberger, M.
4
1999
Input-to-state stability of exponentially stabilized semilinear control systems with inhomogeneous perturbations. Zbl 0948.93051
Grüne, Lars
3
1999
...and 5 more Documents
all top 5

Cited by 1,158 Authors

64 Grüne, Lars
20 Worthmann, Karl
19 Hafstein, Sigurður Freyr
19 Kloeden, Peter Eris
17 Giesl, Peter
17 Müller, Matthias A.
16 Semmler, Willi
15 Wirth, Fabian Roger
14 Karafyllis, Iasson
14 Kellett, Christopher M.
14 Zuazua, Enrique
13 Efimov, Denis V.
13 Polyakov, Andrey
11 Allgower, Frank
10 Dashkovskiy, Sergey N.
10 Faulwasser, Timm
10 Gaitsgory, Vladimir G.
9 Kunisch, Karl
9 Mironchenko, Andrii
8 Gugat, Martin
8 Houska, Boris
8 Sanchez, Tonametl
8 Schaller, Manuel
7 Alla, Alessandro
7 Borzì, Alfio
7 Falcone, Maurizio
7 Li, Huijuan
7 Pepe, Pierdomenico
6 Azmi, Behzad
6 Colonius, Fritz
6 Jiang, Zhong-Ping
6 Junge, Oliver
6 Kawan, Christoph
6 Kolmanovsky, Ilya V.
6 Nešić, Dragan
6 Peitz, Sebastian
6 Picarelli, Athena
6 Teel, Andrew Richard
6 Trélat, Emmanuel
6 Veliov, Vladimir M.
6 Volkwein, Stefan
5 Angeli, David
5 Annunziato, Mario
5 Asai, Yusuke
5 Geiselhart, Roman
5 Kalise, Dante
5 Lhachemi, Hugo
5 Malisoff, Michael
5 Moreno, Jaime A.
5 Noroozi, Navid
5 Pannek, Jürgen
5 Schiela, Anton
5 Shvartsman, Ilya A.
5 Weller, Steven R.
5 Zanon, Mario
4 Albi, Giacomo
4 Baier, Robert
4 Carbonell, Felix
4 Dimarogonas, Dimos V.
4 Dower, Peter M.
4 Flaßkamp, Kathrin
4 Gerdts, Matthias
4 Goreac, Dan
4 Graichen, Knut
4 Grundel, Sara M.
4 Herty, Michael Matthias
4 Jentzen, Arnulf
4 Jimenez, Juan Carlos
4 Jones, Colin Neil
4 Khlopin, Dmitriĭ Valer’evich
4 Krstić, Miroslav
4 Lazar, Mircea
4 Mehrez, Mohamed W.
4 Naujok, Lars
4 Novara, Carlo
4 Perruquetti, Wilfrid
4 Prieur, Christophe
4 Rasmussen, Martin
4 Zidani, Hasnaa
3 Ahmed-Ali, Tarek
3 Alamir, Mazen
3 Anitescu, Mihai
3 Atolia, Manoj
3 Bock, Hans Georg
3 Borkar, Vivek Shripad
3 Bourdin, Loïc
3 Camilli, Fabio
3 Chaillet, Antoine
3 Chatterjee, Debasish
3 Dai, Hao
3 Dawid, Herbert
3 de Queiroz, Marcio S.
3 Dhar, Gaurav
3 Di Ferdinando, Mario
3 Elaiw, Ahmed M.
3 Fečkan, Michal
3 Fridman, Emilia
3 Geshkovski, Borjan
3 Gray, W. Steven
3 Gros, Sebastien
...and 1,058 more Authors
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Cited in 157 Serials

132 Automatica
53 Systems & Control Letters
34 SIAM Journal on Control and Optimization
26 International Journal of Control
22 MCSS. Mathematics of Control, Signals, and Systems
22 European Journal of Control
21 International Journal of Robust and Nonlinear Control
16 Journal of the Franklin Institute
16 Journal of Optimization Theory and Applications
14 Journal of Economic Dynamics & Control
12 Journal of Mathematical Analysis and Applications
11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
11 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
10 Discrete and Continuous Dynamical Systems. Series B
9 Journal of Differential Equations
9 Optimal Control Applications & Methods
9 Mathematical Control and Related Fields
9 Journal of Computational Dynamics
8 Discrete and Continuous Dynamical Systems
7 Applied Mathematics and Optimization
7 Journal of Computational and Applied Mathematics
7 SIAM Journal on Scientific Computing
7 Journal of Difference Equations and Applications
7 Nonlinear Dynamics
6 Applied Mathematics and Computation
6 Numerische Mathematik
6 Mathematical Problems in Engineering
6 Communications in Nonlinear Science and Numerical Simulation
6 Nonlinear Analysis. Hybrid Systems
6 International Journal of Systems Science. Principles and Applications of Systems and Integration
5 Computers & Mathematics with Applications
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Journal of Computational Physics
4 Journal of Scientific Computing
4 Journal of Dynamics and Differential Equations
4 Computational Optimization and Applications
4 Computational Economics
4 Optimization Methods & Software
4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
4 Mathematical and Computer Modelling of Dynamical Systems
4 Journal of Systems Science and Complexity
4 Stochastics and Dynamics
4 GAMM-Mitteilungen
3 BIT
3 Computing
3 Physica D
3 Applied Numerical Mathematics
3 International Journal of Adaptive Control and Signal Processing
3 Numerical Algorithms
3 Advances in Computational Mathematics
3 Complexity
3 SIAM Journal on Applied Dynamical Systems
3 Oberwolfach Reports
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Dynamic Games and Applications
2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
2 Chaos, Solitons and Fractals
2 Canadian Mathematical Bulletin
2 Information Sciences
2 Proceedings of the American Mathematical Society
2 SIAM Journal on Numerical Analysis
2 Applied Mathematical Modelling
2 Automation and Remote Control
2 SIAM Journal on Optimization
2 Differential Equations and Dynamical Systems
2 Vietnam Journal of Mathematics
2 Chaos
2 Optimization and Engineering
2 Lobachevskii Journal of Mathematics
2 Differential Equations
2 Computational Management Science
2 Advances in Difference Equations
2 Journal of Control Science and Engineering
2 Asian Journal of Control
2 Journal of Theoretical Biology
2 Evolution Equations and Control Theory
2 Vestnik KRAUNTS. Fiziko-Matematicheskie Nauki
1 Artificial Intelligence
1 Journal of Mathematical Biology
1 Mathematical Methods in the Applied Sciences
1 Nonlinearity
1 Ukrainian Mathematical Journal
1 Journal of Theoretical and Applied Mechanics (Sofia)
1 Hokkaido Mathematical Journal
1 International Journal for Numerical Methods in Engineering
1 Journal of Approximation Theory
1 Journal of Economic Theory
1 Metroeconomica
1 Naval Research Logistics
1 Operations Research
1 Studies in Applied Mathematics
1 Chinese Annals of Mathematics. Series B
1 Stochastic Analysis and Applications
1 Optimization
1 Queueing Systems
1 Science in China. Series A
1 Neural Networks
1 European Journal of Applied Mathematics
1 Real-Time Systems
1 Neural Computation
...and 57 more Serials
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Cited in 40 Fields

513 Systems theory; control (93-XX)
193 Calculus of variations and optimal control; optimization (49-XX)
100 Numerical analysis (65-XX)
86 Ordinary differential equations (34-XX)
84 Operations research, mathematical programming (90-XX)
76 Partial differential equations (35-XX)
68 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
63 Dynamical systems and ergodic theory (37-XX)
37 Probability theory and stochastic processes (60-XX)
28 Biology and other natural sciences (92-XX)
15 Difference and functional equations (39-XX)
15 Computer science (68-XX)
10 Mechanics of particles and systems (70-XX)
10 Fluid mechanics (76-XX)
7 Operator theory (47-XX)
7 Statistics (62-XX)
6 Information and communication theory, circuits (94-XX)
5 General and overarching topics; collections (00-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Sequences, series, summability (40-XX)
3 General topology (54-XX)
3 Mechanics of deformable solids (74-XX)
3 Optics, electromagnetic theory (78-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 Combinatorics (05-XX)
2 Approximations and expansions (41-XX)
2 Differential geometry (53-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Relativity and gravitational theory (83-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Field theory and polynomials (12-XX)
1 Measure and integration (28-XX)
1 Integral equations (45-XX)
1 Functional analysis (46-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Astronomy and astrophysics (85-XX)
1 Geophysics (86-XX)

Citations by Year

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