Edit Profile Grüne, Lars Compute Distance To: Compute Author ID: grune.lars Published as: Gruene, Lars; Grüne, L.; Grüne, Lars Homepage: http://num.math.uni-bayreuth.de/de/team/Gruene_Lars/ External Links: MGP Documents Indexed: 119 Publications since 1996, including 7 Books all top 5 Co-Authors 23 single-authored 15 Wirth, Fabian Roger 11 Worthmann, Karl 9 Semmler, Willi 7 Junge, Oliver 7 Kloeden, Peter Eris 6 Camilli, Fabio 6 Kellett, Christopher M. 6 Pannek, Jürgen 5 Nešić, Dragan 4 Stieler, Marleen 4 Weller, Steven R. 3 Allgower, Frank 3 Baier, Robert 3 Braun, Philipp 3 Falcone, Maurizio 3 Müller, Matthias A. 3 Zidani, Hasnaa 2 Diehl, Moritz Mathias 2 Ferretti, Roberto Giorgio 2 Gaitsgory, Vladimir A. 2 Geiselhart, Roman 2 Guglielmi, Roberto 2 Hafstein, Sigurður Freyr 2 Karafyllis, Iasson 2 Li, Huijuan 2 Lunze, Jan 2 Margaliot, Michael 2 Noroozi, Navid 2 Pirkelmann, Simon 2 Reble, Marcus 2 Schaller, Manuel 2 Schiela, Anton 2 Sigurani, Manuela 2 Sontag, Eduardo D. 1 Altmüller, Nils 1 Aoyama, Hideaki 1 Bauer, Florian 1 Baumann, Michael Heinrich 1 Becker, Stephanie 1 Boccia, Andrea 1 Bock, Hans Georg 1 Bokanowski, Olivier 1 Botner, Meir 1 Caillau, Jean-Baptiste 1 Caraballo Garrido, Tomás 1 Cesaroni, Annalisa 1 Colonius, Fritz 1 Coron, Jean-Michel 1 Cyganowski, Sasha 1 Damm, Tobias 1 Findeisen, Rolf 1 Fischer, J. H. 1 Fleig, Arthur 1 Fujiwara, Yoshi 1 Groß, Dominic 1 Hanebeck, Uwe D. 1 Hirche, Sandra 1 Höger, Matthias 1 Kalise, Dante 1 Kern, Benjamin 1 Koltai, Péter 1 Kriecherbauer, Thomas 1 Le, Thuy T. T. 1 Lehmann, Daniel J. 1 McEneaney, William M. 1 Metscher, M. 1 Molin, Adam 1 Ohlberger, Mario 1 Palma, Vryan Gil S. 1 Picarelli, Athena 1 Pinho, Maria Norberta 1 Rantzer, Anders 1 Rüffer, Björn Sebastian 1 Sager, Sebastian 1 Sailer, Rudolf 1 Saint-Pierre, Patrick 1 Seehafer, Martin 1 Serea, Oana-Silvia 1 Siegmund, Stefan 1 Sieveking, Malte 1 Souma, Wataru 1 Stöcker, Christian 1 Stursberg, Olaf 1 Thatcher, Neil 1 Trélat, Emmanuel 1 Varutti, P. 1 Zanon, Mario 1 Zarai, Yoram all top 5 Serials 14 SIAM Journal on Control and Optimization 13 Systems & Control Letters 7 IEEE Transactions on Automatic Control 5 Automatica 5 Discrete and Continuous Dynamical Systems. Series B 4 Discrete and Continuous Dynamical Systems 3 Numerische Mathematik 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 Stochastics and Dynamics 2 GAMM-Mitteilungen 2 Mathematical Control and Related Fields 2 Communications and Control Engineering 1 IMA Journal of Numerical Analysis 1 International Journal of Control 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 BIT 1 Optimal Control Applications & Methods 1 Journal of Dynamics and Differential Equations 1 Economic Theory 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of Difference Equations and Applications 1 Computing and Visualization in Science 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 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 Lecture Notes in Control and Information Sciences 1 Lecture Notes in Mathematics 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Advances in Operations Research 1 Springer INdAM Series 1 Journal of Computational Dynamics 1 Springer Studium Mathematik – Bachelor all top 5 Fields 86 Systems theory; control (93-XX) 44 Calculus of variations and optimal control; optimization (49-XX) 22 Numerical analysis (65-XX) 15 Ordinary differential equations (34-XX) 14 Operations research, mathematical programming (90-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Partial differential equations (35-XX) 10 Dynamical systems and ergodic theory (37-XX) 5 Probability theory and stochastic processes (60-XX) 4 General and overarching topics; collections (00-XX) 3 Computer science (68-XX) 2 History and biography (01-XX) 2 Difference and functional equations (39-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 89 Publications have been cited 936 times in 530 Documents Cited by ▼ Year ▼ Nonlinear model predictive control. Theory and algorithms. Zbl 1220.93001Grüne, Lars; Pannek, Jürgen 77 2011 Asymptotic behavior of dynamical and control systems under perturbation and discretization. Zbl 0991.37001Grüne, Lars 45 2002 Economic receding horizon control without terminal constraints. Zbl 1267.93052Grüne, Lars 41 2013 Analysis and design of unconstrained nonlinear MPC schemes for finite and infinite dimensional systems. Zbl 1194.49045Grüne, Lars 36 2009 Lyapunov-based continuous-time nonlinear controller redesign for sampled-data implementation. Zbl 1115.93064Nešić, Dragan; Grüne, Lars 35 2005 An adaptive grid scheme for the discrete Hamilton-Jacobi-Bellman equation. Zbl 0880.65045Grüne, Lars 34 1997 On the infinite horizon performance of receding horizon controllers. Zbl 1367.90109Grüne, Lars; Rantzer, Anders 31 2008 An exponential turnpike theorem for dissipative discrete time optimal control problems. Zbl 1303.49013Damm, Tobias; Grüne, Lars; Stieler, Marleen; Worthmann, Karl 28 2014 A generalization of Zubov’s method to perturbed systems. Zbl 1006.93061Camilli, Fabio; Grüne, Lars; Wirth, Fabian 27 2001 Analysis of unconstrained nonlinear MPC schemes with time varying control horizon. Zbl 1208.49046Grüne, Lars; Pannek, Jürgen; Seehafer, Martin; Worthmann, Karl 25 2010 Using dynamic programming with adaptive grid scheme for optimal control problems in economics. Zbl 1202.49026Grüne, Lars; Semmler, Willi 25 2004 Input-to-state dynamical stability and its Lyapunov function characterization. Zbl 1364.93567Grüne, Lars 25 2002 Homogeneous state feedback stabilization of homogeneous systems. Zbl 0958.93077Grüne, Lars 25 2000 Optimization-based stabilization of sampled-data nonlinear systems via their approximate discrete-time models. Zbl 1044.93053Grüne, Lars; Nesić, Dragan 24 2003 Nonlinear model predictive control. Theory and algorithms. 2nd edition. Zbl 1429.93003Grüne, Lars; Pannek, Jürgen 21 2017 Pathwise approximation of random ordinary differential equations. Zbl 0998.65010Grüne, L.; Kloeden, P. E. 19 2001 Linear programming based Lyapunov function computation for differential inclusions. Zbl 1235.93222Baier, Robert; Grüne, Lars; Hafstein, Sigurður Freyr 18 2012 Higher order numerical schemes for affinely controlled nonlinear systems. Zbl 0992.65075Grüne, L.; Kloeden, P. E. 18 2001 Stability and feasibility of state constrained MPC without stabilizing terminal constraints. Zbl 1297.93068Boccia, Andrea; Grüne, Lars; Worthmann, Karl 15 2014 On the relation between strict dissipativity and turnpike properties. Zbl 1335.93117Grüne, Lars; Müller, Matthias A. 14 2016 Global optimal control of perturbed systems. Zbl 1147.49019Grüne, L.; Junge, O. 13 2008 Asymptotic stability equals exponential stability, and ISS equals finite energy gain – if you twist your eyes. Zbl 1043.93549Grüne, Lars; Sontag, Eduardo D.; Wirth, Fabian R. 13 1999 On the relation between discounted and average optimal value functions. Zbl 0918.49002Grüne, Lars 13 1998 Asymptotic controllability and exponential stabilization of nonlinear control systems at singular points. Zbl 0910.93063Grüne, Lars 13 1998 Control Lyapunov functions and Zubov’s method. Zbl 1157.93028Camilli, Fabio; Grüne, Lars; Wirth, Fabian 12 2008 Periodic optimal control, dissipativity and MPC. Zbl 1369.93356Zanon, Mario; Grüne, Lars; Diehl, Moritz 10 2017 Asset pricing with loss aversion. Zbl 1181.91072Grüne, Lars; Semmler, Willi 10 2008 A receding horizon control approach to sampled-data implementation of continuous-time controllers. Zbl 1100.93042Nešić, Dragan; Grüne, Lars 10 2006 ISS-Lyapunov functions for discontinuous discrete-time systems. Zbl 1360.93497Grüne, Lars; Kellett, Christopher M. 9 2014 Continuous-time controller redesign for digital implementation: a trajectory based approach. Zbl 1138.93350Grüne, Lars; Worthmann, Karl; Nešić, Dragan 9 2008 A distributed NMPC scheme without stabilizing terminal constraints. Zbl 1328.93103Grüne, Lars; Worthmann, Karl 8 2012 Lyapunov’s second method for nonautonomous differential equations. Zbl 1128.37010Grüne, Lars; Kloeden, Peter E.; Siegmund, Stefan; Wirth, Fabian R. 8 2007 A set oriented approach to optimal feedback stabilization. Zbl 1129.93500Grüne, Lars; Junge, Oliver 8 2005 Error estimation and adaptive discretization for the discrete stochastic Hamilton-Jacobi-Bellman equation. Zbl 1074.65009Grüne, Lars 8 2004 Attraction rates, robustness, and discretization of attractors. Zbl 1058.65081Grüne, Lars 8 2003 A regularization of Zubov’s equation for robust domains of attraction. Zbl 1239.93048Camilli, Fabio; Grüne, Lars; Wirth, Fabian 8 2001 Numerical stabilization of bilinear control systems. Zbl 0876.93032Grüne, Lars 8 1996 Economic model predictive control without terminal constraints for optimal periodic behavior. Zbl 1339.93051Müller, Matthias A.; Grüne, Lars 7 2016 Value iteration convergence of \(\varepsilon\)-monotone schemes for stationary Hamilton-Jacobi equations. Zbl 1334.65180Bokanowski, Olivier; Falcone, Maurizio; Ferretti, Roberto; Grüne, Lars; Kalise, Dante; Zidani, Hasnaa 7 2015 Feedback stabilization methods for the numerical solution of ordinary differential equations. Zbl 1237.65085Karafyllis, Iasson; Grüne, Lars 7 2011 Characterizing attraction probabilities via the stochastic Zubov equation. Zbl 1123.60311Camilli, Fabio; Grüne, Lars 7 2003 Numerical approximation of the maximal solutions for a class of degenerate Hamilton-Jacobi equations. Zbl 0988.65077Camilli, Fabio; Grüne, Lars 7 2000 A uniform exponential spectrum for linear flows on vector bundles. Zbl 0983.37032Grüne, Lars 7 2000 Turnpike properties and strict dissipativity for discrete time linear quadratic optimal control problems. Zbl 1387.49027Grüne, Lars; Guglielmi, Roberto 6 2018 Approximation properties of receding horizon optimal control. Zbl 1336.93060Grüne, Lars 6 2016 Stabilization with discounted optimal control. Zbl 1327.93324Gaitsgory, Vladimir; Grüne, Lars; Thatcher, Neil 6 2015 The role of sampling for stability and performance in unconstrained nonlinear model predictive control. Zbl 1292.93061Worthmann, Karl; Reble, Marcus; Grüne, Lars; Allgöwer, Frank 6 2014 Higher order numerical approximation of switching systems. Zbl 1100.93022Grüne, L.; Kloeden, P. E. 6 2006 Discrete feedback stabilization of semilinear control systems. Zbl 0867.93071Grüne, Lars 6 1996 Nonconservative discrete-time ISS small-gain conditions for closed sets. Zbl 1395.93506Noroozi, Navid; Geiselhart, Roman; Grüne, Lars; Rüffer, Björn S.; Wirth, Fabian R. 5 2018 Using nonlinear model predictive control for dynamic decision problems in economics. Zbl 1401.93094Grüne, Lars; Semmler, Willi; Stieler, Marleen 5 2015 Comparing accuracy of second-order approximation and dynamic programming. Zbl 1282.91209Becker, Stephanie; Grüne, Lars; Semmler, Willi 5 2007 Discretization, inflation and perturbation of attractors. Zbl 0996.37013Grüne, L.; Kloeden, P. E. 5 2001 Stabilization by sampled and discrete feedback with positive sampling rate. Zbl 0945.93604Grüne, Lars 5 1999 Feedback stabilization of discrete-time homogeneous semi-linear systems. Zbl 0917.93058Grüne, Lars; Wirth, Fabian 5 1999 Sensitivity analysis of optimal control for a class of parabolic PDEs motivated by model predictive control. Zbl 1420.49025Grüne, Lars; Schaller, Manuel; Schiela, Anton 4 2019 Computation of local ISS Lyapunov functions with low gains via linear programming. Zbl 1366.37146Li, Huijuan; Baier, Robert; Grüne, Lars; Hafstein, Sigurdur F.; Wirth, Fabian R. 4 2015 Differential games and Zubov’s method. Zbl 1237.49054Grüne, Lars; Serea, Oana Silvia 4 2011 Model predictive control for nonlinear sampled-data systems. Zbl 1223.93081Grüne, L.; Nešić, D.; Pannek, J. 4 2007 Stabilization of controlled diffusions and Zubov’s method. Zbl 1135.93033Camilli, Fabio; Cesaroni, Annalisa; Grüne, Lars; Wirth, Fabian 4 2006 Creditworthiness and thresholds in a credit market model with multiple equilibria. Zbl 1107.91361Grüne, Lars; Semmler, Willi; Sieveking, Malte 4 2005 Maple for stochastic differential equations. Zbl 0991.65006Cyganowski, S.; Grüne, L.; Kloeden, P. E. 4 2001 On numerical algorithm and interactive visualization for optimal control problems. Zbl 0970.65073Grüne, L.; Metscher, M.; Ohlberger, M. 4 1999 A distributed optimization algorithm for the predictive control of smart grids. Zbl 1359.93270Braun, Philipp; Grüne, Lars; Kellett, Christopher M.; Weller, Steven R.; Worthmann, Karl 3 2016 Robustness of performance and stability for multistep and updated multistep MPC schemes. Zbl 1334.49099Grüne, Lars; Palma, Vryan Gil 3 2015 Distributed and boundary model predictive control for the heat equation. Zbl 1256.49033Altmüller, Nils; Grüne, Lars 3 2012 Adaptive spline interpolation for Hamilton-Jacobi-Bellman equations. Zbl 1100.65056Bauer, Florian; Grüne, Lars; Semmler, Willi 3 2006 Exponential sensitivity and turnpike analysis for linear quadratic optimal control of general evolution equations. Zbl 1436.49044Grüne, Lars; Schaller, Manuel; Schiela, Anton 2 2020 Stabilization of strictly dissipative discrete time systems with discounted optimal control. Zbl 1400.93267Gaitsgory, Vladimir; Grüne, Lars; Höger, Matthias; Kellett, Christopher M.; Weller, Steven R. 2 2018 On the relation between turnpike properties for finite and infinite horizon optimal control problems. Zbl 1380.49055Grüne, Lars; Kellett, Christopher M.; Weller, Steven R. 2 2017 Zubov’s method for controlled diffusions with state constraints. Zbl 1323.93019Grüne, Lars; Picarelli, Athena 2 2015 Zubov’s equation for state-constrained perturbed nonlinear systems. Zbl 1322.93080Grüne, Lars; Zidani, Hasnaa 2 2015 Practical NMPC suboptimality estimates along trajectories. Zbl 1159.93013Grüne, L.; Pannek, J. 2 2009 Asset pricing with dynamic programming. Zbl 1161.91447Grüne, Lars; Semmler, Willi 2 2007 Dynamics, bifurcations, and control. 3rd nonlinear control workshop, Kloster Irsee, Germany, April 1–3, 2001. Zbl 0994.00036Colonius, Fritz (ed.); Grüne, Lars (ed.) 2 2002 Adaptive grid generation for evolutive Hamilton-Jacobi-Bellman equations. Zbl 0988.65088Grüne, Lars 2 2001 On the rate of convergence of infinite horizon discounted optimal value functions. Zbl 0974.49002Grüne, Lars; Wirth, Fabian 2 2000 Input-to-state stability of exponentially stabilized semilinear control systems with inhomogeneous perturbations. Zbl 0948.93051Grüne, Lars 2 1999 Numerical construction of nonsmooth control Lyapunov functions. Zbl 1414.93168Baier, Robert; Braun, Philipp; Grüne, Lars; Kellett, Christopher M. 1 2018 Strict dissipativity implies turnpike behavior for time-varying discrete time optimal control problems. Zbl 1401.49035Grüne, Lars; Pirkelmann, Simon; Stieler, Marleen 1 2018 A double-sided dynamic programming approach to the minimum time problem and its numerical approximation. Zbl 1372.65193Grüne, Lars; Le, Thuy T. T. 1 2017 Computation of local ISS Lyapunov functions for discrete-time systems via linear programming. Zbl 1332.93328Li, Huijuan; Grüne, Lars 1 2016 Numerical event-based ISS controller design via a dynamic game approach. Zbl 1327.93178Grüne, Lars; Sigurani, Manuela 1 2015 Ordinary differential equations. An introduction from the dynamical systems perspective. Zbl 1175.34001Grüne, Lars; Junge, Oliver 1 2009 Optimization based stabilization of nonlinear control systems. Zbl 1229.93090Grüne, Lars 1 2008 Input-to-state stability, numerical dynamics and sampled-data control. Zbl 1196.93068Grüne, Lars 1 2008 An invariance kernel representation of ISDS Lyapunov functions. Zbl 1100.93044Grüne, Lars; Saint-Pierre, Patrick 1 2006 Quantitative aspects of the input-to-state-stability property. Zbl 1078.93060Grüne, Lars 1 2004 Convergence rates of perturbed attracting sets with vanishing perturbation. Zbl 0960.65137Grüne, Lars 1 2000 Exponential sensitivity and turnpike analysis for linear quadratic optimal control of general evolution equations. Zbl 1436.49044Grüne, Lars; Schaller, Manuel; Schiela, Anton 2 2020 Sensitivity analysis of optimal control for a class of parabolic PDEs motivated by model predictive control. Zbl 1420.49025Grüne, Lars; Schaller, Manuel; Schiela, Anton 4 2019 Turnpike properties and strict dissipativity for discrete time linear quadratic optimal control problems. Zbl 1387.49027Grüne, Lars; Guglielmi, Roberto 6 2018 Nonconservative discrete-time ISS small-gain conditions for closed sets. Zbl 1395.93506Noroozi, Navid; Geiselhart, Roman; Grüne, Lars; Rüffer, Björn S.; Wirth, Fabian R. 5 2018 Stabilization of strictly dissipative discrete time systems with discounted optimal control. Zbl 1400.93267Gaitsgory, Vladimir; Grüne, Lars; Höger, Matthias; Kellett, Christopher M.; Weller, Steven R. 2 2018 Numerical construction of nonsmooth control Lyapunov functions. Zbl 1414.93168Baier, Robert; Braun, Philipp; Grüne, Lars; Kellett, Christopher M. 1 2018 Strict dissipativity implies turnpike behavior for time-varying discrete time optimal control problems. Zbl 1401.49035Grüne, Lars; Pirkelmann, Simon; Stieler, Marleen 1 2018 Nonlinear model predictive control. Theory and algorithms. 2nd edition. Zbl 1429.93003Grüne, Lars; Pannek, Jürgen 21 2017 Periodic optimal control, dissipativity and MPC. Zbl 1369.93356Zanon, Mario; Grüne, Lars; Diehl, Moritz 10 2017 On the relation between turnpike properties for finite and infinite horizon optimal control problems. Zbl 1380.49055Grüne, Lars; Kellett, Christopher M.; Weller, Steven R. 2 2017 A double-sided dynamic programming approach to the minimum time problem and its numerical approximation. Zbl 1372.65193Grüne, Lars; Le, Thuy T. T. 1 2017 On the relation between strict dissipativity and turnpike properties. Zbl 1335.93117Grüne, Lars; Müller, Matthias A. 14 2016 Economic model predictive control without terminal constraints for optimal periodic behavior. Zbl 1339.93051Müller, Matthias A.; Grüne, Lars 7 2016 Approximation properties of receding horizon optimal control. Zbl 1336.93060Grüne, Lars 6 2016 A distributed optimization algorithm for the predictive control of smart grids. Zbl 1359.93270Braun, Philipp; Grüne, Lars; Kellett, Christopher M.; Weller, Steven R.; Worthmann, Karl 3 2016 Computation of local ISS Lyapunov functions for discrete-time systems via linear programming. Zbl 1332.93328Li, Huijuan; Grüne, Lars 1 2016 Value iteration convergence of \(\varepsilon\)-monotone schemes for stationary Hamilton-Jacobi equations. Zbl 1334.65180Bokanowski, Olivier; Falcone, Maurizio; Ferretti, Roberto; Grüne, Lars; Kalise, Dante; Zidani, Hasnaa 7 2015 Stabilization with discounted optimal control. Zbl 1327.93324Gaitsgory, Vladimir; Grüne, Lars; Thatcher, Neil 6 2015 Using nonlinear model predictive control for dynamic decision problems in economics. Zbl 1401.93094Grüne, Lars; Semmler, Willi; Stieler, Marleen 5 2015 Computation of local ISS Lyapunov functions with low gains via linear programming. Zbl 1366.37146Li, Huijuan; Baier, Robert; Grüne, Lars; Hafstein, Sigurdur F.; Wirth, Fabian R. 4 2015 Robustness of performance and stability for multistep and updated multistep MPC schemes. Zbl 1334.49099Grüne, Lars; Palma, Vryan Gil 3 2015 Zubov’s method for controlled diffusions with state constraints. Zbl 1323.93019Grüne, Lars; Picarelli, Athena 2 2015 Zubov’s equation for state-constrained perturbed nonlinear systems. Zbl 1322.93080Grüne, Lars; Zidani, Hasnaa 2 2015 Numerical event-based ISS controller design via a dynamic game approach. Zbl 1327.93178Grüne, Lars; Sigurani, Manuela 1 2015 An exponential turnpike theorem for dissipative discrete time optimal control problems. Zbl 1303.49013Damm, Tobias; Grüne, Lars; Stieler, Marleen; Worthmann, Karl 28 2014 Stability and feasibility of state constrained MPC without stabilizing terminal constraints. Zbl 1297.93068Boccia, Andrea; Grüne, Lars; Worthmann, Karl 15 2014 ISS-Lyapunov functions for discontinuous discrete-time systems. Zbl 1360.93497Grüne, Lars; Kellett, Christopher M. 9 2014 The role of sampling for stability and performance in unconstrained nonlinear model predictive control. Zbl 1292.93061Worthmann, Karl; Reble, Marcus; Grüne, Lars; Allgöwer, Frank 6 2014 Economic receding horizon control without terminal constraints. Zbl 1267.93052Grüne, Lars 41 2013 Linear programming based Lyapunov function computation for differential inclusions. Zbl 1235.93222Baier, Robert; Grüne, Lars; Hafstein, Sigurður Freyr 18 2012 A distributed NMPC scheme without stabilizing terminal constraints. Zbl 1328.93103Grüne, Lars; Worthmann, Karl 8 2012 Distributed and boundary model predictive control for the heat equation. Zbl 1256.49033Altmüller, Nils; Grüne, Lars 3 2012 Nonlinear model predictive control. Theory and algorithms. Zbl 1220.93001Grüne, Lars; Pannek, Jürgen 77 2011 Feedback stabilization methods for the numerical solution of ordinary differential equations. Zbl 1237.65085Karafyllis, Iasson; Grüne, Lars 7 2011 Differential games and Zubov’s method. Zbl 1237.49054Grüne, Lars; Serea, Oana Silvia 4 2011 Analysis of unconstrained nonlinear MPC schemes with time varying control horizon. Zbl 1208.49046Grüne, Lars; Pannek, Jürgen; Seehafer, Martin; Worthmann, Karl 25 2010 Analysis and design of unconstrained nonlinear MPC schemes for finite and infinite dimensional systems. Zbl 1194.49045Grüne, Lars 36 2009 Practical NMPC suboptimality estimates along trajectories. Zbl 1159.93013Grüne, L.; Pannek, J. 2 2009 Ordinary differential equations. An introduction from the dynamical systems perspective. Zbl 1175.34001Grüne, Lars; Junge, Oliver 1 2009 On the infinite horizon performance of receding horizon controllers. Zbl 1367.90109Grüne, Lars; Rantzer, Anders 31 2008 Global optimal control of perturbed systems. Zbl 1147.49019Grüne, L.; Junge, O. 13 2008 Control Lyapunov functions and Zubov’s method. Zbl 1157.93028Camilli, Fabio; Grüne, Lars; Wirth, Fabian 12 2008 Asset pricing with loss aversion. Zbl 1181.91072Grüne, Lars; Semmler, Willi 10 2008 Continuous-time controller redesign for digital implementation: a trajectory based approach. Zbl 1138.93350Grüne, Lars; Worthmann, Karl; Nešić, Dragan 9 2008 Optimization based stabilization of nonlinear control systems. Zbl 1229.93090Grüne, Lars 1 2008 Input-to-state stability, numerical dynamics and sampled-data control. Zbl 1196.93068Grüne, Lars 1 2008 Lyapunov’s second method for nonautonomous differential equations. Zbl 1128.37010Grüne, Lars; Kloeden, Peter E.; Siegmund, Stefan; Wirth, Fabian R. 8 2007 Comparing accuracy of second-order approximation and dynamic programming. Zbl 1282.91209Becker, Stephanie; Grüne, Lars; Semmler, Willi 5 2007 Model predictive control for nonlinear sampled-data systems. Zbl 1223.93081Grüne, L.; Nešić, D.; Pannek, J. 4 2007 Asset pricing with dynamic programming. Zbl 1161.91447Grüne, Lars; Semmler, Willi 2 2007 A receding horizon control approach to sampled-data implementation of continuous-time controllers. Zbl 1100.93042Nešić, Dragan; Grüne, Lars 10 2006 Higher order numerical approximation of switching systems. Zbl 1100.93022Grüne, L.; Kloeden, P. E. 6 2006 Stabilization of controlled diffusions and Zubov’s method. Zbl 1135.93033Camilli, Fabio; Cesaroni, Annalisa; Grüne, Lars; Wirth, Fabian 4 2006 Adaptive spline interpolation for Hamilton-Jacobi-Bellman equations. Zbl 1100.65056Bauer, Florian; Grüne, Lars; Semmler, Willi 3 2006 An invariance kernel representation of ISDS Lyapunov functions. Zbl 1100.93044Grüne, Lars; Saint-Pierre, Patrick 1 2006 Lyapunov-based continuous-time nonlinear controller redesign for sampled-data implementation. Zbl 1115.93064Nešić, Dragan; Grüne, Lars 35 2005 A set oriented approach to optimal feedback stabilization. Zbl 1129.93500Grüne, Lars; Junge, Oliver 8 2005 Creditworthiness and thresholds in a credit market model with multiple equilibria. Zbl 1107.91361Grüne, Lars; Semmler, Willi; Sieveking, Malte 4 2005 Using dynamic programming with adaptive grid scheme for optimal control problems in economics. Zbl 1202.49026Grüne, Lars; Semmler, Willi 25 2004 Error estimation and adaptive discretization for the discrete stochastic Hamilton-Jacobi-Bellman equation. Zbl 1074.65009Grüne, Lars 8 2004 Quantitative aspects of the input-to-state-stability property. Zbl 1078.93060Grüne, Lars 1 2004 Optimization-based stabilization of sampled-data nonlinear systems via their approximate discrete-time models. Zbl 1044.93053Grüne, Lars; Nesić, Dragan 24 2003 Attraction rates, robustness, and discretization of attractors. Zbl 1058.65081Grüne, Lars 8 2003 Characterizing attraction probabilities via the stochastic Zubov equation. Zbl 1123.60311Camilli, Fabio; Grüne, Lars 7 2003 Asymptotic behavior of dynamical and control systems under perturbation and discretization. Zbl 0991.37001Grüne, Lars 45 2002 Input-to-state dynamical stability and its Lyapunov function characterization. Zbl 1364.93567Grüne, Lars 25 2002 Dynamics, bifurcations, and control. 3rd nonlinear control workshop, Kloster Irsee, Germany, April 1–3, 2001. Zbl 0994.00036Colonius, Fritz (ed.); Grüne, Lars (ed.) 2 2002 A generalization of Zubov’s method to perturbed systems. Zbl 1006.93061Camilli, Fabio; Grüne, Lars; Wirth, Fabian 27 2001 Pathwise approximation of random ordinary differential equations. Zbl 0998.65010Grüne, L.; Kloeden, P. E. 19 2001 Higher order numerical schemes for affinely controlled nonlinear systems. Zbl 0992.65075Grüne, L.; Kloeden, P. E. 18 2001 A regularization of Zubov’s equation for robust domains of attraction. Zbl 1239.93048Camilli, Fabio; Grüne, Lars; Wirth, Fabian 8 2001 Discretization, inflation and perturbation of attractors. Zbl 0996.37013Grüne, L.; Kloeden, P. E. 5 2001 Maple for stochastic differential equations. Zbl 0991.65006Cyganowski, S.; Grüne, L.; Kloeden, P. E. 4 2001 Adaptive grid generation for evolutive Hamilton-Jacobi-Bellman equations. Zbl 0988.65088Grüne, Lars 2 2001 Homogeneous state feedback stabilization of homogeneous systems. Zbl 0958.93077Grüne, Lars 25 2000 Numerical approximation of the maximal solutions for a class of degenerate Hamilton-Jacobi equations. Zbl 0988.65077Camilli, Fabio; Grüne, Lars 7 2000 A uniform exponential spectrum for linear flows on vector bundles. Zbl 0983.37032Grüne, Lars 7 2000 On the rate of convergence of infinite horizon discounted optimal value functions. Zbl 0974.49002Grüne, Lars; Wirth, Fabian 2 2000 Convergence rates of perturbed attracting sets with vanishing perturbation. Zbl 0960.65137Grüne, Lars 1 2000 Asymptotic stability equals exponential stability, and ISS equals finite energy gain – if you twist your eyes. Zbl 1043.93549Grüne, Lars; Sontag, Eduardo D.; Wirth, Fabian R. 13 1999 Stabilization by sampled and discrete feedback with positive sampling rate. Zbl 0945.93604Grüne, Lars 5 1999 Feedback stabilization of discrete-time homogeneous semi-linear systems. Zbl 0917.93058Grüne, Lars; Wirth, Fabian 5 1999 On numerical algorithm and interactive visualization for optimal control problems. Zbl 0970.65073Grüne, L.; Metscher, M.; Ohlberger, M. 4 1999 Input-to-state stability of exponentially stabilized semilinear control systems with inhomogeneous perturbations. Zbl 0948.93051Grüne, Lars 2 1999 On the relation between discounted and average optimal value functions. Zbl 0918.49002Grüne, Lars 13 1998 Asymptotic controllability and exponential stabilization of nonlinear control systems at singular points. Zbl 0910.93063Grüne, Lars 13 1998 An adaptive grid scheme for the discrete Hamilton-Jacobi-Bellman equation. Zbl 0880.65045Grüne, Lars 34 1997 Numerical stabilization of bilinear control systems. Zbl 0876.93032Grüne, Lars 8 1996 Discrete feedback stabilization of semilinear control systems. Zbl 0867.93071Grüne, Lars 6 1996 all cited Publications top 5 cited Publications all top 5 Cited by 822 Authors 54 Grüne, Lars 21 Kloeden, Peter Eris 15 Giesl, Peter 15 Hafstein, Sigurður Freyr 13 Müller, Matthias A. 13 Wirth, Fabian Roger 12 Karafyllis, Iasson 12 Kellett, Christopher M. 12 Semmler, Willi 11 Allgower, Frank 9 Dashkovskiy, Sergey N. 9 Worthmann, Karl 8 Efimov, Denis V. 7 Junge, Oliver 7 Li, Huijuan 7 Mironchenko, Andrii 7 Nešić, Dragan 6 Falcone, Maurizio 6 Gaitsgory, Vladimir A. 6 Jiang, Zhong-Ping 6 Kunisch, Karl 6 Zuazua, Enrique 5 Angeli, David 5 Borzì, Alfio 5 Colonius, Fritz 5 Geiselhart, Roman 5 Houska, Boris 5 Malisoff, Michael 5 Pepe, Pierdomenico 5 Picarelli, Athena 5 Polyakov, Andrey 5 Teel, Andrew Richard 5 Trélat, Emmanuel 4 Annunziato, Mario 4 Asai, Yusuke 4 Azmi, Behzad 4 Baier, Robert 4 Bokanowski, Olivier 4 Carbonell, Felix 4 Graichen, Knut 4 Jentzen, Arnulf 4 Jimenez, Juan Carlos 4 Kawan, Christoph 4 Krstić, Miroslav 4 Lazar, Mircea 4 Naujok, Lars 4 Pannek, Jürgen 4 Perruquetti, Wilfrid 4 Rasmussen, Martin 4 Sanchez, Tonametl 4 Weller, Steven R. 4 Zidani, Hasnaa 3 Ahmed-Ali, Tarek 3 Alamir, Mazen 3 Alla, Alessandro 3 Bock, Hans Georg 3 Camilli, Fabio 3 Chatterjee, Debasish 3 Dai, Hao 3 de Queiroz, Marcio S. 3 Dower, Peter M. 3 Elaiw, Ahmed M. 3 Fečkan, Michal 3 Gerdts, Matthias 3 Goreac, Dan 3 Gray, W. Steven 3 Gugat, Martin 3 Guglielmi, Roberto 3 He, Defeng 3 Jerbi, Hamadi 3 Jia, Jinping 3 Jones, Colin Neil 3 Khlopin, Dmitriĭ Valer’evich 3 Kolmanovsky, Ilya V. 3 Lamnabhi-Lagarrigue, Françoise 3 Le, Thuy T. T. 3 Manzie, Chris 3 Mayne, David Q. 3 Monaco, Salvatore 3 Moreno, Jaime A. 3 Neuenkirch, Andreas 3 Normand-Cyrot, Dorothée 3 Noroozi, Navid 3 Peitz, Sebastian 3 Potschka, Andreas 3 Reble, Marcus 3 Rüffer, Björn Sebastian 3 Sahu, Smita 3 Schiela, Anton 3 Tozza, Silvia 3 Veliov, Vladimir M. 2 Abedi, Fakhreddin 2 Albi, Giacomo 2 Atolia, Manoj 2 Bernuau, Emmanuel 2 Biscay, Rolando J. 2 Bitmead, Robert R. 2 Boccia, Andrea 2 Bonvin, Dominique 2 Borkar, Vivek Shripad ...and 722 more Authors all top 5 Cited in 124 Serials 93 Automatica 44 Systems & Control Letters 19 SIAM Journal on Control and Optimization 18 International Journal of Control 15 Journal of Optimization Theory and Applications 15 MCSS. Mathematics of Control, Signals, and Systems 14 European Journal of Control 12 Journal of the Franklin Institute 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Journal of Economic Dynamics & Control 12 International Journal of Robust and Nonlinear Control 10 Journal of Mathematical Analysis and Applications 8 Journal of Differential Equations 8 Discrete and Continuous Dynamical Systems. Series B 7 Journal of Difference Equations and Applications 7 Discrete and Continuous Dynamical Systems 6 Journal of Computational and Applied Mathematics 6 Mathematical Problems in Engineering 5 Applied Mathematics and Computation 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Nonlinear Analysis. Hybrid Systems 5 Journal of Computational Dynamics 4 Computers & Mathematics with Applications 4 Numerische Mathematik 4 Optimal Control Applications & Methods 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Journal of Dynamics and Differential Equations 4 Computational Economics 4 SIAM Journal on Scientific Computing 4 Nonlinear Dynamics 4 Optimization Methods & Software 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 Communications in Nonlinear Science and Numerical Simulation 4 Stochastics and Dynamics 3 Journal of Computational Physics 3 Applied Mathematics and Optimization 3 BIT 3 Computing 3 Applied Numerical Mathematics 3 Complexity 3 Journal of Systems Science and Complexity 3 GAMM-Mitteilungen 3 Dynamic Games and Applications 3 Mathematical Control and Related Fields 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Information Sciences 2 Numerical Algorithms 2 Computational Optimization and Applications 2 Advances in Computational Mathematics 2 Differential Equations and Dynamical Systems 2 Vietnam Journal of Mathematics 2 Chaos 2 Mathematical and Computer Modelling of Dynamical Systems 2 Optimization and Engineering 2 SIAM Journal on Applied Dynamical Systems 2 Advances in Difference Equations 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Asian Journal of Control 2 Journal of Theoretical Biology 1 Journal of Mathematical Biology 1 Mathematical Biosciences 1 Ukrainian Mathematical Journal 1 Chaos, Solitons and Fractals 1 Journal of Theoretical and Applied Mechanics (Sofia) 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 Proceedings of the American Mathematical Society 1 Studies in Applied Mathematics 1 Stochastic Analysis and Applications 1 Physica D 1 Queueing Systems 1 Journal of Scientific Computing 1 Science in China. Series A 1 Neural Networks 1 European Journal of Applied Mathematics 1 Real-Time Systems 1 Neural Computation 1 International Journal of Adaptive Control and Signal Processing 1 Computational Mathematics and Mathematical Physics 1 Applied Mathematical Modelling 1 Automation and Remote Control 1 European Journal of Operational Research 1 SIAM Review 1 Journal of Mathematical Imaging and Vision 1 NoDEA. Nonlinear Differential Equations and Applications 1 Sbornik: Mathematics 1 Computing and Visualization in Science 1 Positivity 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Natural Resource Modeling 1 LMS Journal of Computation and Mathematics 1 Macroeconomic Dynamics 1 Computational Geosciences 1 Engineering Computations 1 CEJOR. Central European Journal of Operations Research 1 Differential Equations ...and 24 more Serials all top 5 Cited in 33 Fields 355 Systems theory; control (93-XX) 122 Calculus of variations and optimal control; optimization (49-XX) 74 Numerical analysis (65-XX) 66 Ordinary differential equations (34-XX) 57 Operations research, mathematical programming (90-XX) 50 Dynamical systems and ergodic theory (37-XX) 46 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 41 Partial differential equations (35-XX) 30 Probability theory and stochastic processes (60-XX) 19 Biology and other natural sciences (92-XX) 13 Difference and functional equations (39-XX) 7 Fluid mechanics (76-XX) 7 Information and communication theory, circuits (94-XX) 4 Statistics (62-XX) 4 Computer science (68-XX) 4 Mechanics of particles and systems (70-XX) 3 General and overarching topics; collections (00-XX) 3 Operator theory (47-XX) 3 Mechanics of deformable solids (74-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 General topology (54-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Relativity and gravitational theory (83-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Differential geometry (53-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) Citations by Year