Nonlinear model predictive control. Theory and algorithms. Zbl 1220.93001
Grüne, Lars; Pannek, Jürgen |
|
2011
|
Nonlinear model predictive control. Theory and algorithms.
2nd edition. Zbl 1429.93003
Grüne, Lars; Pannek, Jürgen |
|
2017
|
Economic receding horizon control without terminal constraints. Zbl 1267.93052
Grüne, Lars |
|
2013
|
The dynamics of control. With an appendix by Lars Grüne. Zbl 1020.93500
Colonius, Fritz; Kliemann, Wolfgang |
|
2000
|
An exponential turnpike theorem for dissipative discrete time optimal control problems. Zbl 1303.49013
Damm, Tobias; Grüne, Lars; Stieler, Marleen; Worthmann, Karl |
|
2014
|
Asymptotic behavior of dynamical and control systems under perturbation and discretization. Zbl 0991.37001
Grüne, Lars |
|
2002
|
Analysis and design of unconstrained nonlinear MPC schemes for finite and infinite dimensional systems. Zbl 1194.49045
Grüne, Lars |
|
2009
|
Lyapunov-based continuous-time nonlinear controller redesign for sampled-data implementation. Zbl 1115.93064
Nešić, Dragan; Grüne, Lars |
|
2005
|
On the infinite horizon performance of receding horizon controllers. Zbl 1367.90109
Grüne, Lars; Rantzer, Anders |
|
2008
|
Homogeneous state feedback stabilization of homogeneous systems. Zbl 0958.93077
Grüne, Lars |
|
2000
|
On the relation between strict dissipativity and turnpike properties. Zbl 1335.93117
Grüne, Lars; Müller, Matthias A. |
|
2016
|
An adaptive grid scheme for the discrete Hamilton-Jacobi-Bellman equation. Zbl 0880.65045
Grüne, Lars |
|
1997
|
Stability and feasibility of state constrained MPC without stabilizing terminal constraints. Zbl 1297.93068
Boccia, Andrea; Grüne, Lars; Worthmann, Karl |
|
2014
|
Analysis of unconstrained nonlinear MPC schemes with time varying control horizon. Zbl 1208.49046
Grüne, Lars; Pannek, Jürgen; Seehafer, Martin; Worthmann, Karl |
|
2010
|
Exponential sensitivity and turnpike analysis for linear quadratic optimal control of general evolution equations. Zbl 1436.49044
Grüne, Lars; Schaller, Manuel; Schiela, Anton |
|
2020
|
Using dynamic programming with adaptive grid scheme for optimal control problems in economics. Zbl 1202.49026
Grüne, Lars; Semmler, Willi |
|
2004
|
A generalization of Zubov’s method to perturbed systems. Zbl 1006.93061
Camilli, Fabio; Grüne, Lars; Wirth, Fabian |
|
2001
|
Optimization-based stabilization of sampled-data nonlinear systems via their approximate discrete-time models. Zbl 1044.93053
Grüne, Lars; Nesić, Dragan |
|
2003
|
Input-to-state dynamical stability and its Lyapunov function characterization. Zbl 1364.93567
Grüne, Lars |
|
2002
|
Turnpike properties and strict dissipativity for discrete time linear quadratic optimal control problems. Zbl 1387.49027
Grüne, Lars; Guglielmi, Roberto |
|
2018
|
Linear programming based Lyapunov function computation for differential inclusions. Zbl 1235.93222
Baier, Robert; Grüne, Lars; Hafstein, Sigurður Freyr |
|
2012
|
Pathwise approximation of random ordinary differential equations. Zbl 0998.65010
Grüne, L.; Kloeden, P. E. |
|
2001
|
On the relation between discounted and average optimal value functions. Zbl 0918.49002
Grüne, Lars |
|
1998
|
Higher order numerical schemes for affinely controlled nonlinear systems. Zbl 0992.65075
Grüne, L.; Kloeden, P. E. |
|
2001
|
Periodic optimal control, dissipativity and MPC. Zbl 1369.93356
Zanon, Mario; Grüne, Lars; Diehl, Moritz |
|
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 |
|
2019
|
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. |
|
1999
|
Economic model predictive control without terminal constraints for optimal periodic behavior. Zbl 1339.93051
Müller, Matthias A.; Grüne, Lars |
|
2016
|
Asymptotic controllability and exponential stabilization of nonlinear control systems at singular points. Zbl 0910.93063
Grüne, Lars |
|
1998
|
Stabilization with discounted optimal control. Zbl 1327.93324
Gaitsgory, Vladimir; Grüne, Lars; Thatcher, Neil |
|
2015
|
Control Lyapunov functions and Zubov’s method. Zbl 1157.93028
Camilli, Fabio; Grüne, Lars; Wirth, Fabian |
|
2008
|
Approximation properties of receding horizon optimal control. Zbl 1336.93060
Grüne, Lars |
|
2016
|
Global optimal control of perturbed systems. Zbl 1147.49019
Grüne, L.; Junge, O. |
|
2008
|
Using nonlinear model predictive control for dynamic decision problems in economics. Zbl 1401.93094
Grüne, Lars; Semmler, Willi; Stieler, Marleen |
|
2015
|
Distributed and boundary model predictive control for the heat equation. Zbl 1256.49033
Altmüller, Nils; Grüne, Lars |
|
2012
|
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 |
|
2015
|
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 |
|
2016
|
ISS-Lyapunov functions for discontinuous discrete-time systems. Zbl 1360.93497
Grüne, Lars; Kellett, Christopher M. |
|
2014
|
On the relation between turnpike properties and dissipativity for continuous time linear quadratic optimal control problems. Zbl 1462.49058
Grüne, Lars; Guglielmi, Roberto |
|
2021
|
Turnpike properties in optimal control: an overview of discrete-time and continuous-time results. Zbl 1495.49019
Faulwasser, Timm; Grüne, Lars |
|
2022
|
A receding horizon control approach to sampled-data implementation of continuous-time controllers. Zbl 1100.93042
Nešić, Dragan; Grüne, Lars |
|
2006
|
Feedback stabilization methods for the numerical solution of ordinary differential equations. Zbl 1237.65085
Karafyllis, Iasson; Grüne, Lars |
|
2011
|
Model predictive control, cost controllability, and homogeneity. Zbl 1453.93083
Coron, Jean-Michel; Grüne, Lars; Worthmann, Karl |
|
2020
|
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 |
|
2014
|
Continuous-time controller redesign for digital implementation: a trajectory based approach. Zbl 1138.93350
Grüne, Lars; Worthmann, Karl; Nešić, Dragan |
|
2008
|
Attraction rates, robustness, and discretization of attractors. Zbl 1058.65081
Grüne, Lars |
|
2003
|
Asset pricing with loss aversion. Zbl 1181.91072
Grüne, Lars; Semmler, Willi |
|
2008
|
A set oriented approach to optimal feedback stabilization. Zbl 1129.93500
Grüne, Lars; Junge, Oliver |
|
2005
|
A distributed NMPC scheme without stabilizing terminal constraints. Zbl 1328.93103
Grüne, Lars; Worthmann, Karl |
|
2012
|
Numerical approximation of the maximal solutions for a class of degenerate Hamilton-Jacobi equations. Zbl 0988.65077
Camilli, Fabio; Grüne, Lars |
|
2000
|
Numerical stabilization of bilinear control systems. Zbl 0876.93032
Grüne, Lars |
|
1996
|
Characterizing attraction probabilities via the stochastic Zubov equation. Zbl 1123.60311
Camilli, Fabio; Grüne, Lars |
|
2003
|
A regularization of Zubov’s equation for robust domains of attraction. Zbl 1239.93048
Camilli, Fabio; Grüne, Lars; Wirth, Fabian |
|
2001
|
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. |
|
2018
|
Lyapunov’s second method for nonautonomous differential equations. Zbl 1128.37010
Grüne, Lars; Kloeden, Peter E.; Siegmund, Stefan; Wirth, Fabian R. |
|
2007
|
A uniform exponential spectrum for linear flows on vector bundles. Zbl 0983.37032
Grüne, Lars |
|
2000
|
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. |
|
2017
|
Strict dissipativity implies turnpike behavior for time-varying discrete time optimal control problems. Zbl 1401.49035
Grüne, Lars; Pirkelmann, Simon; Stieler, Marleen |
|
2018
|
Comparing accuracy of second-order approximation and dynamic programming. Zbl 1282.91209
Becker, Stephanie; Grüne, Lars; Semmler, Willi |
|
2007
|
Discrete feedback stabilization of semilinear control systems. Zbl 0867.93071
Grüne, Lars |
|
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. |
|
2015
|
Error estimation and adaptive discretization for the discrete stochastic Hamilton-Jacobi-Bellman equation. Zbl 1074.65009
Grüne, Lars |
|
2004
|
Practical NMPC suboptimality estimates along trajectories. Zbl 1159.93013
Grüne, L.; Pannek, J. |
|
2009
|
Finite-dimensional output stabilization for a class of linear distributed parameter systems – a small-gain approach. Zbl 1492.93150
Grüne, L.; Meurer, T. |
|
2022
|
Economic model predictive control for time-varying system: performance and stability results. Zbl 1451.93095
Grüne, Lars; Pirkelmann, Simon |
|
2020
|
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. |
|
2018
|
Computing Lyapunov functions using deep neural networks. Zbl 1507.68267
Grüne, Lars |
|
2021
|
Higher order numerical approximation of switching systems. Zbl 1100.93022
Grüne, L.; Kloeden, P. E. |
|
2006
|
Feedback stabilization of discrete-time homogeneous semi-linear systems. Zbl 0917.93058
Grüne, Lars; Wirth, Fabian |
|
1999
|
Discretization, inflation and perturbation of attractors. Zbl 0996.37013
Grüne, L.; Kloeden, P. E. |
|
2001
|
Stabilization by sampled and discrete feedback with positive sampling rate. Zbl 0945.93604
Grüne, Lars |
|
1999
|
Differential games and Zubov’s method. Zbl 1237.49054
Grüne, Lars; Serea, Oana Silvia |
|
2011
|
Zubov’s equation for state-constrained perturbed nonlinear systems. Zbl 1322.93080
Grüne, Lars; Zidani, Hasnaa |
|
2015
|
Strict dissipativity for discrete time discounted optimal control problems. Zbl 1481.49009
Grüne, Lars; Müller, Matthias A.; Kellett, Christopher M.; Weller, Steven R. |
|
2021
|
Abstract nonlinear sensitivity and turnpike analysis and an application to semilinear parabolic PDEs. Zbl 1467.49037
Grüne, Lars; Schaller, Manuel; Schiela, Anton |
|
2021
|
On numerical algorithm and interactive visualization for optimal control problems. Zbl 0970.65073
Grüne, L.; Metscher, M.; Ohlberger, M. |
|
1999
|
Maple for stochastic differential equations. Zbl 0991.65006
Cyganowski, S.; Grüne, L.; Kloeden, P. E. |
|
2001
|
Creditworthiness and thresholds in a credit market model with multiple equilibria. Zbl 1107.91361
Grüne, Lars; Semmler, Willi; Sieveking, Malte |
|
2005
|
Model predictive control for nonlinear sampled-data systems. Zbl 1223.93081
Grüne, L.; Nešić, D.; Pannek, J. |
|
2007
|
Stabilization of controlled diffusions and Zubov’s method. Zbl 1135.93033
Camilli, Fabio; Cesaroni, Annalisa; Grüne, Lars; Wirth, Fabian |
|
2006
|
Quantitative aspects of the input-to-state-stability property. Zbl 1078.93060
Grüne, Lars |
|
2004
|
Input-to-state stability of exponentially stabilized semilinear control systems with inhomogeneous perturbations. Zbl 0948.93051
Grüne, Lars |
|
1999
|
Dynamics, bifurcations, and control. 3rd nonlinear control workshop, Kloster Irsee, Germany, April 1–3, 2001. Zbl 0994.00036
|
|
2002
|
Simultaneously long short trading in discrete and continuous time. Zbl 1353.93116
Baumann, Michael Heinrich; Grüne, Lars |
|
2017
|
Asset pricing with dynamic programming. Zbl 1161.91447
Grüne, Lars; Semmler, Willi |
|
2007
|
Robustness of performance and stability for multistep and updated multistep MPC schemes. Zbl 1334.49099
Grüne, Lars; Palma, Vryan Gil |
|
2015
|
Zubov’s method for controlled diffusions with state constraints. Zbl 1323.93019
Grüne, Lars; Picarelli, Athena |
|
2015
|
Efficient model predictive control for parabolic PDEs with goal oriented error estimation. Zbl 1492.35391
Grüne, Lars; Schaller, Manuel; Schiela, Anton |
|
2022
|
Adaptive spline interpolation for Hamilton-Jacobi-Bellman equations. Zbl 1100.65056
Bauer, Florian; Grüne, Lars; Semmler, Willi |
|
2006
|
On approximating contractive systems. Zbl 1390.93186
Botner, Meir; Zarai, Yoram; Margaliot, Michael; Grüne, Lars |
|
2017
|
Local turnpike analysis using local dissipativity for discrete time discounted optimal control. Zbl 1485.49032
Grüne, Lars; Krügel, Lisa |
|
2021
|
\(L^2\)-tracking of Gaussian distributions via model predictive control for the Fokker-Planck equation. Zbl 1406.35411
Fleig, Arthur; Grüne, Lars |
|
2018
|
Multiobjective model predictive control for stabilizing cost criteria. Zbl 1421.93050
Grüne, Lars; Stieler, Marleen |
|
2019
|
On equivalence of exponential and asymptotic stability under changes of variables. Zbl 0966.34045
Grüne, Lars; Sontag, Eduardo D.; Wirth, Fabian |
|
2000
|
On the rate of convergence of infinite horizon discounted optimal value functions. Zbl 0974.49002
Grüne, Lars; Wirth, Fabian |
|
2000
|
Adaptive grid generation for evolutive Hamilton-Jacobi-Bellman equations. Zbl 0988.65088
Grüne, Lars |
|
2001
|
A double-sided dynamic programming approach to the minimum time problem and its numerical approximation. Zbl 1372.65193
Grüne, Lars; Le, Thuy T. T. |
|
2017
|
Input-to-state stability, numerical dynamics and sampled-data control. Zbl 1196.93068
Grüne, Lars |
|
2008
|
Computation of local ISS Lyapunov functions for discrete-time systems via linear programming. Zbl 1332.93328
Li, Huijuan; Grüne, Lars |
|
2016
|
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 |
|
2021
|
Relaxed dissipativity assumptions and a simplified algorithm for multiobjective MPC. Zbl 1536.49014
Eichfelder, Gabriele; Grüne, Lars; Krügel, Lisa; Schießl, Jonas |
|
2023
|
Turnpike properties in optimal control: an overview of discrete-time and continuous-time results. Zbl 1495.49019
Faulwasser, Timm; Grüne, Lars |
|
2022
|
Finite-dimensional output stabilization for a class of linear distributed parameter systems – a small-gain approach. Zbl 1492.93150
Grüne, L.; Meurer, T. |
|
2022
|
Efficient model predictive control for parabolic PDEs with goal oriented error estimation. Zbl 1492.35391
Grüne, Lars; Schaller, Manuel; Schiela, Anton |
|
2022
|
The interval turnpike property for adjoints. Zbl 1500.49011
Faulwasser, Timm; Grüne, Lars; Humaloja, Jukka-Pekka; Schaller, Manuel |
|
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 |
|
2022
|
On the relation between turnpike properties and dissipativity for continuous time linear quadratic optimal control problems. Zbl 1462.49058
Grüne, Lars; Guglielmi, Roberto |
|
2021
|
Computing Lyapunov functions using deep neural networks. Zbl 1507.68267
Grüne, Lars |
|
2021
|
Strict dissipativity for discrete time discounted optimal control problems. Zbl 1481.49009
Grüne, Lars; Müller, Matthias A.; Kellett, Christopher M.; Weller, Steven R. |
|
2021
|
Abstract nonlinear sensitivity and turnpike analysis and an application to semilinear parabolic PDEs. Zbl 1467.49037
Grüne, Lars; Schaller, Manuel; Schiela, Anton |
|
2021
|
Local turnpike analysis using local dissipativity for discrete time discounted optimal control. Zbl 1485.49032
Grüne, Lars; Krügel, Lisa |
|
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 |
|
2021
|
Synthesis of control Lyapunov functions and stabilizing feedback strategies using exit-time optimal control. I: Theory. Zbl 1472.93075
Yegorov, Ivan; Dower, Peter M.; Grüne, Lars |
|
2021
|
Synthesis of control Lyapunov functions and stabilizing feedback strategies using exit-time optimal control. II: Numerical approach. Zbl 1472.93076
Yegorov, Ivan; Dower, Peter M.; Grüne, Lars |
|
2021
|
Random attraction in the TASEP model. Zbl 1465.37011
Gruene, Lars; Kriecherbauer, Thomas; Margaliot, Michael |
|
2021
|
(In-)stability of differential inclusions. Notions, equivalences, and Lyapunov-like characterizations. Zbl 1482.34002
Braun, Philipp; Grüne, Lars; Kellett, Christopher M. |
|
2021
|
Exponential sensitivity and turnpike analysis for linear quadratic optimal control of general evolution equations. Zbl 1436.49044
Grüne, Lars; Schaller, Manuel; Schiela, Anton |
|
2020
|
Model predictive control, cost controllability, and homogeneity. Zbl 1453.93083
Coron, Jean-Michel; Grüne, Lars; Worthmann, Karl |
|
2020
|
Economic model predictive control for time-varying system: performance and stability results. Zbl 1451.93095
Grüne, Lars; Pirkelmann, Simon |
|
2020
|
Control of discrete-time nonlinear systems via finite-step control Lyapunov functions. Zbl 1436.93043
Noroozi, Navid; Geiselhart, Roman; Grüne, Lars; Wirth, Fabian R. |
|
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 |
|
2019
|
Multiobjective model predictive control for stabilizing cost criteria. Zbl 1421.93050
Grüne, Lars; Stieler, Marleen |
|
2019
|
Turnpike properties and strict dissipativity for discrete time linear quadratic optimal control problems. Zbl 1387.49027
Grüne, Lars; Guglielmi, Roberto |
|
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. |
|
2018
|
Strict dissipativity implies turnpike behavior for time-varying discrete time optimal control problems. Zbl 1401.49035
Grüne, Lars; Pirkelmann, Simon; Stieler, Marleen |
|
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. |
|
2018
|
\(L^2\)-tracking of Gaussian distributions via model predictive control for the Fokker-Planck equation. Zbl 1406.35411
Fleig, Arthur; Grüne, Lars |
|
2018
|
Numerical construction of nonsmooth control Lyapunov functions. Zbl 1414.93168
Baier, Robert; Braun, Philipp; Grüne, Lars; Kellett, Christopher M. |
|
2018
|
Nonlinear model predictive control. Theory and algorithms.
2nd edition. Zbl 1429.93003
Grüne, Lars; Pannek, Jürgen |
|
2017
|
Periodic optimal control, dissipativity and MPC. Zbl 1369.93356
Zanon, Mario; Grüne, Lars; Diehl, Moritz |
|
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. |
|
2017
|
Simultaneously long short trading in discrete and continuous time. Zbl 1353.93116
Baumann, Michael Heinrich; Grüne, Lars |
|
2017
|
On approximating contractive systems. Zbl 1390.93186
Botner, Meir; Zarai, Yoram; Margaliot, Michael; Grüne, Lars |
|
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. |
|
2017
|
On the relation between strict dissipativity and turnpike properties. Zbl 1335.93117
Grüne, Lars; Müller, Matthias A. |
|
2016
|
Economic model predictive control without terminal constraints for optimal periodic behavior. Zbl 1339.93051
Müller, Matthias A.; Grüne, Lars |
|
2016
|
Approximation properties of receding horizon optimal control. Zbl 1336.93060
Grüne, Lars |
|
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 |
|
2016
|
Computation of local ISS Lyapunov functions for discrete-time systems via linear programming. Zbl 1332.93328
Li, Huijuan; Grüne, Lars |
|
2016
|
Ordinary differential equations. An introduction from the dynamical systems perspective.
2nd updated ed.
(Gewöhnliche Differentialgleichungen. Eine Einführung aus der Perspektive der dynamischen Systeme.) Zbl 1385.34001
Grüne, Lars; Junge, Oliver |
|
2016
|
Stabilization with discounted optimal control. Zbl 1327.93324
Gaitsgory, Vladimir; Grüne, Lars; Thatcher, Neil |
|
2015
|
Using nonlinear model predictive control for dynamic decision problems in economics. Zbl 1401.93094
Grüne, Lars; Semmler, Willi; Stieler, Marleen |
|
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 |
|
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. |
|
2015
|
Zubov’s equation for state-constrained perturbed nonlinear systems. Zbl 1322.93080
Grüne, Lars; Zidani, Hasnaa |
|
2015
|
Robustness of performance and stability for multistep and updated multistep MPC schemes. Zbl 1334.49099
Grüne, Lars; Palma, Vryan Gil |
|
2015
|
Zubov’s method for controlled diffusions with state constraints. Zbl 1323.93019
Grüne, Lars; Picarelli, Athena |
|
2015
|
An exponential turnpike theorem for dissipative discrete time optimal control problems. Zbl 1303.49013
Damm, Tobias; Grüne, Lars; Stieler, Marleen; Worthmann, Karl |
|
2014
|
Stability and feasibility of state constrained MPC without stabilizing terminal constraints. Zbl 1297.93068
Boccia, Andrea; Grüne, Lars; Worthmann, Karl |
|
2014
|
ISS-Lyapunov functions for discontinuous discrete-time systems. Zbl 1360.93497
Grüne, Lars; Kellett, Christopher M. |
|
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 |
|
2014
|
Distributed and networked model predictive control. Zbl 1276.93037
Grüne, L.; Allgöwer, F.; Findeisen, R.; Fischer, J.; Groß, D.; Hanebeck, U. D.; Kern, B.; Müller, M. A.; Pannek, J.; Reble, M.; Stursberg, O.; Varutti, P.; Worthmann, K. |
|
2014
|
Economic receding horizon control without terminal constraints. Zbl 1267.93052
Grüne, Lars |
|
2013
|
Linear programming based Lyapunov function computation for differential inclusions. Zbl 1235.93222
Baier, Robert; Grüne, Lars; Hafstein, Sigurður Freyr |
|
2012
|
Distributed and boundary model predictive control for the heat equation. Zbl 1256.49033
Altmüller, Nils; Grüne, Lars |
|
2012
|
A distributed NMPC scheme without stabilizing terminal constraints. Zbl 1328.93103
Grüne, Lars; Worthmann, Karl |
|
2012
|
Nonlinear model predictive control. Theory and algorithms. Zbl 1220.93001
Grüne, Lars; Pannek, Jürgen |
|
2011
|
Feedback stabilization methods for the numerical solution of ordinary differential equations. Zbl 1237.65085
Karafyllis, Iasson; Grüne, Lars |
|
2011
|
Differential games and Zubov’s method. Zbl 1237.49054
Grüne, Lars; Serea, Oana Silvia |
|
2011
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Analysis of unconstrained nonlinear MPC schemes with time varying control horizon. Zbl 1208.49046
Grüne, Lars; Pannek, Jürgen; Seehafer, Martin; Worthmann, Karl |
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2010
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Predictive planning and systematic action-on the control of technical processes. Zbl 1202.00018
Grüne, Lars; Sager, Sebastian; Allgöwer, Frank; Bock, Hans Georg; Diehl, Moritz |
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2010
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Analysis and design of unconstrained nonlinear MPC schemes for finite and infinite dimensional systems. Zbl 1194.49045
Grüne, Lars |
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2009
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Practical NMPC suboptimality estimates along trajectories. Zbl 1159.93013
Grüne, L.; Pannek, J. |
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2009
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Ordinary differential equations. An introduction from the dynamical systems perspective.
(Gewöhnliche Differentialgleichungen. Eine Einführung aus der Perspektive der dynamischen Systeme.) Zbl 1175.34001
Grüne, Lars; Junge, Oliver |
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2009
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On the infinite horizon performance of receding horizon controllers. Zbl 1367.90109
Grüne, Lars; Rantzer, Anders |
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2008
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Control Lyapunov functions and Zubov’s method. Zbl 1157.93028
Camilli, Fabio; Grüne, Lars; Wirth, Fabian |
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2008
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Global optimal control of perturbed systems. Zbl 1147.49019
Grüne, L.; Junge, O. |
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2008
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Continuous-time controller redesign for digital implementation: a trajectory based approach. Zbl 1138.93350
Grüne, Lars; Worthmann, Karl; Nešić, Dragan |
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2008
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Asset pricing with loss aversion. Zbl 1181.91072
Grüne, Lars; Semmler, Willi |
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2008
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Input-to-state stability, numerical dynamics and sampled-data control. Zbl 1196.93068
Grüne, Lars |
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2008
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Optimization based stabilization of nonlinear control systems. Zbl 1229.93090
Grüne, Lars |
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2008
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Lyapunov’s second method for nonautonomous differential equations. Zbl 1128.37010
Grüne, Lars; Kloeden, Peter E.; Siegmund, Stefan; Wirth, Fabian R. |
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2007
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Comparing accuracy of second-order approximation and dynamic programming. Zbl 1282.91209
Becker, Stephanie; Grüne, Lars; Semmler, Willi |
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2007
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Model predictive control for nonlinear sampled-data systems. Zbl 1223.93081
Grüne, L.; Nešić, D.; Pannek, J. |
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2007
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Asset pricing with dynamic programming. Zbl 1161.91447
Grüne, Lars; Semmler, Willi |
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2007
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Default risk, asset pricing, and debt control. Zbl 1418.91586
Grüne, Lars; Semmler, Willi |
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2007
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A receding horizon control approach to sampled-data implementation of continuous-time controllers. Zbl 1100.93042
Nešić, Dragan; Grüne, Lars |
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2006
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Higher order numerical approximation of switching systems. Zbl 1100.93022
Grüne, L.; Kloeden, P. E. |
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2006
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Stabilization of controlled diffusions and Zubov’s method. Zbl 1135.93033
Camilli, Fabio; Cesaroni, Annalisa; Grüne, Lars; Wirth, Fabian |
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2006
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Adaptive spline interpolation for Hamilton-Jacobi-Bellman equations. Zbl 1100.65056
Bauer, Florian; Grüne, Lars; Semmler, Willi |
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2006
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An invariance kernel representation of ISDS Lyapunov functions. Zbl 1100.93044
Grüne, Lars; Saint-Pierre, Patrick |
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2006
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Lyapunov-based continuous-time nonlinear controller redesign for sampled-data implementation. Zbl 1115.93064
Nešić, Dragan; Grüne, Lars |
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2005
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A set oriented approach to optimal feedback stabilization. Zbl 1129.93500
Grüne, Lars; Junge, Oliver |
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2005
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Creditworthiness and thresholds in a credit market model with multiple equilibria. Zbl 1107.91361
Grüne, Lars; Semmler, Willi; Sieveking, Malte |
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2005
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Using dynamic programming with adaptive grid scheme for optimal control problems in economics. Zbl 1202.49026
Grüne, Lars; Semmler, Willi |
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2004
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Error estimation and adaptive discretization for the discrete stochastic Hamilton-Jacobi-Bellman equation. Zbl 1074.65009
Grüne, Lars |
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2004
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Quantitative aspects of the input-to-state-stability property. Zbl 1078.93060
Grüne, Lars |
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2004
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Optimization-based stabilization of sampled-data nonlinear systems via their approximate discrete-time models. Zbl 1044.93053
Grüne, Lars; Nesić, Dragan |
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2003
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Attraction rates, robustness, and discretization of attractors. Zbl 1058.65081
Grüne, Lars |
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2003
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Characterizing attraction probabilities via the stochastic Zubov equation. Zbl 1123.60311
Camilli, Fabio; Grüne, Lars |
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2003
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Asymptotic behavior of dynamical and control systems under perturbation and discretization. Zbl 0991.37001
Grüne, Lars |
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2002
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Input-to-state dynamical stability and its Lyapunov function characterization. Zbl 1364.93567
Grüne, Lars |
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2002
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Dynamics, bifurcations, and control. 3rd nonlinear control workshop, Kloster Irsee, Germany, April 1–3, 2001. Zbl 0994.00036
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2002
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A generalization of Zubov’s method to perturbed systems. Zbl 1006.93061
Camilli, Fabio; Grüne, Lars; Wirth, Fabian |
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2001
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Pathwise approximation of random ordinary differential equations. Zbl 0998.65010
Grüne, L.; Kloeden, P. E. |
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2001
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Higher order numerical schemes for affinely controlled nonlinear systems. Zbl 0992.65075
Grüne, L.; Kloeden, P. E. |
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2001
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A regularization of Zubov’s equation for robust domains of attraction. Zbl 1239.93048
Camilli, Fabio; Grüne, Lars; Wirth, Fabian |
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2001
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Discretization, inflation and perturbation of attractors. Zbl 0996.37013
Grüne, L.; Kloeden, P. E. |
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2001
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Maple for stochastic differential equations. Zbl 0991.65006
Cyganowski, S.; Grüne, L.; Kloeden, P. E. |
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2001
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Adaptive grid generation for evolutive Hamilton-Jacobi-Bellman equations. Zbl 0988.65088
Grüne, Lars |
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2001
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| ...and 16 more Documents |
