A set oriented approach to global optimal control
ESAIM: COCV, 10 2 (2004) 259-270
Published online: 2004-03-15
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
1 (2020)
https://doi.org/10.1109/SmartGridComm47815.2020.9302960
A Discrete-Continuous Algorithm for Free Flight Planning
Ralf Borndörfer, Fabian Danecker and Martin WeiserAlgorithms 14 (1) 4 (2020)
https://doi.org/10.3390/a14010004
Plant Model-Based Fault Detection during Aircraft Takeoff Using Non-Deterministic Finite-State Automata
Ferdinand Settele, Alexander Weber and Alexander KnollAerospace 7 (8) 109 (2020)
https://doi.org/10.3390/aerospace7080109
Advances in Dynamics, Optimization and Computation
Lars Grüne and Oliver JungeStudies in Systems, Decision and Control, Advances in Dynamics, Optimization and Computation 304 265 (2020)
https://doi.org/10.1007/978-3-030-51264-4_11
Model‐based reinforcement learning for nonlinear optimal control with practical asymptotic stability guarantees
Yeonsoo Kim and Jong Min LeeAIChE Journal 66 (10) (2020)
https://doi.org/10.1002/aic.16544
On Robust Computation of Koopman Operator and Prediction in Random Dynamical Systems
Subhrajit Sinha, Bowen Huang and Umesh VaidyaJournal of Nonlinear Science 30 (5) 2057 (2020)
https://doi.org/10.1007/s00332-019-09597-6
1 (2020)
https://doi.org/10.1109/PESGM41954.2020.9281781
3526 (2019)
https://doi.org/10.23919/ACC.2019.8815138
326 (2019)
https://doi.org/10.1109/ICC47138.2019.9123165
Global Nonlinear Dynamics for Engineering Design and System Safety
Fu-Rui Xiong, Qun Han, Ling Hong and Jian-Qiao SunCISM International Centre for Mechanical Sciences, Global Nonlinear Dynamics for Engineering Design and System Safety 588 287 (2019)
https://doi.org/10.1007/978-3-319-99710-0_6
Design of Symbolic Controllers for Networked Control Systems
Alessandro Borri, Giordano Pola and Maria Domenica Di BenedettoIEEE Transactions on Automatic Control 64 (3) 1034 (2019)
https://doi.org/10.1109/TAC.2018.2833630
Optimal perturbations for nonlinear systems using graph-based optimal transport
Piyush Grover and Karthik ElamvazhuthiCommunications in Nonlinear Science and Numerical Simulation 59 197 (2018)
https://doi.org/10.1016/j.cnsns.2017.09.020
Bisimulation Equivalence of Discrete-Time Stochastic Linear Control Systems
Giordano Pola, Costanzo Manes, Arjan J. van der Schaft and Maria Domenica Di BenedettoIEEE Transactions on Automatic Control 63 (7) 1897 (2018)
https://doi.org/10.1109/TAC.2017.2760515
5659 (2018)
https://doi.org/10.23919/ACC.2018.8431409
5491 (2018)
https://doi.org/10.23919/ACC.2018.8431015
Decentralized Supervisory Control of Networks of Nonlinear Control Systems
Giordano Pola, Pierdomenico Pepe and Maria Domenica Di BenedettoIEEE Transactions on Automatic Control 63 (9) 2803 (2018)
https://doi.org/10.1109/TAC.2017.2775962
1759 (2017)
https://doi.org/10.23919/ACC.2017.7963207
Nonlinear Model Predictive Control
Lars Grüne and Jürgen PannekCommunications and Control Engineering, Nonlinear Model Predictive Control 71 (2017)
https://doi.org/10.1007/978-3-319-46024-6_4
Symbolic Models for Networks of Control Systems
Giordano Pola, Pierdomenico Pepe and Maria Domenica Di BenedettoIEEE Transactions on Automatic Control 61 (11) 3663 (2016)
https://doi.org/10.1109/TAC.2016.2528046
Finding zeros of nonlinear functions using the hybrid parallel cell mapping method
Fu-Rui Xiong, Oliver Schütze, Qian Ding and Jian-Qiao SunCommunications in Nonlinear Science and Numerical Simulation 34 23 (2016)
https://doi.org/10.1016/j.cnsns.2015.10.008
Numerical event-based ISS controller design via a dynamic game approach
Lars Grüne and Manuela SiguraniJournal of Computational Dynamics 2 (1) 65 (2015)
https://doi.org/10.3934/jcd.2015.2.65
1180 (2015)
https://doi.org/10.1109/CDC.2015.7402371
7042 (2015)
https://doi.org/10.1109/CDC.2015.7403329
Dynamic programming using radial basis functions
Oliver Junge and Alex SchreiberDiscrete & Continuous Dynamical Systems - A 35 (9) 4439 (2015)
https://doi.org/10.3934/dcds.2015.35.4439
Experimental evaluation of two complementary decentralized event-based control methods
M. Sigurani, C. Stöcker, L. Grüne and J. LunzeControl Engineering Practice 35 22 (2015)
https://doi.org/10.1016/j.conengprac.2014.10.002
Parallel Cell Mapping Method for Global Analysis of High-Dimensional Nonlinear Dynamical Systems1
Fu-Rui Xiong, Zhi-Chang Qin, Qian Ding, et al.Journal of Applied Mechanics 82 (11) (2015)
https://doi.org/10.1115/1.4031149
Symbolic models for time-varying time-delay systems via alternating approximate bisimulation
Giordano Pola, Pierdomenico Pepe and Maria Domenica Di BenedettoInternational Journal of Robust and Nonlinear Control 25 (14) 2328 (2015)
https://doi.org/10.1002/rnc.3204
1787 (2014)
https://doi.org/10.1109/ACC.2014.6858790
Global optimal feedbacks for stochastic quantized nonlinear event systems
Stefan Jerg, Oliver Junge and Marcus PostJournal of Computational Dynamics 1 (1) 163 (2014)
https://doi.org/10.3934/jcd.2014.1.163
Optimal Stabilization Using Lyapunov Measures
Arvind Raghunathan and Umesh VaidyaIEEE Transactions on Automatic Control 59 (5) 1316 (2014)
https://doi.org/10.1109/TAC.2013.2289707
836 (2014)
https://doi.org/10.1109/CDC.2014.7039485
Networked Embedded Control Systems: from Modelling to Implementation
Maria Domenica Di Benedetto and Giordano PolaElectronic Proceedings in Theoretical Computer Science 124 9 (2013)
https://doi.org/10.4204/EPTCS.124.3
Computation of the optimal value function in time‐dependent networks
Sebastian Kluge, Konrad Reif and Martin BrokateNetworks 62 (2) 105 (2013)
https://doi.org/10.1002/net.21501
1732 (2013)
https://doi.org/10.1109/CDC.2013.6760132
CGMurphi: Automatic synthesis of numerical controllers for nonlinear hybrid systems
Giuseppe Della Penna, Benedetto Intrigila, Daniele Magazzeni, Igor Melatti and Enrico TronciEuropean Journal of Control 19 (1) 14 (2013)
https://doi.org/10.1016/j.ejcon.2013.02.001
Symbolic Models for Nonlinear Control Systems Without Stability Assumptions
Majid Zamani, Giordano Pola, Manuel Mazo and Paulo TabuadaIEEE Transactions on Automatic Control 57 (7) 1804 (2012)
https://doi.org/10.1109/TAC.2011.2176409
Symbolic models for nonlinear control systems affected by disturbances
Alessandro Borri, Giordano Pola and Maria Domenica Di BenedettoInternational Journal of Control 85 (10) 1422 (2012)
https://doi.org/10.1080/00207179.2012.686672
Lazy global feedbacks for quantized nonlinear event systems
Stefan Jerg and Oliver JungeIFAC Proceedings Volumes 45 (13) 294 (2012)
https://doi.org/10.3182/20120620-3-DK-2025.00118
Nonlinear Science and Complexity
Stefan Jerg, Oliver Junge and Shane D. RossNonlinear Science and Complexity 125 (2011)
https://doi.org/10.1007/978-90-481-9884-9_16
Nonlinear Model Predictive Control
Lars Grüne and Jürgen PannekCommunications and Control Engineering, Nonlinear Model Predictive Control 67 (2011)
https://doi.org/10.1007/978-0-85729-501-9_4
Nonlinear Stabilization via Control Lyapunov Measure
Umesh Vaidya, Prashant G. Mehta and Uday V. ShanbhagIEEE Transactions on Automatic Control 55 (6) 1314 (2010)
https://doi.org/10.1109/TAC.2010.2042226
Two Complementary Approaches to Event-based ControlZwei komplementäre Zugänge zur ereignisbasierten Regelung
Lars Grüne, Stefan Jerg, Oliver Junge, et al.at - Automatisierungstechnik 58 (4) 173 (2010)
https://doi.org/10.1524/auto.2010.0832
Optimal capture trajectories using multiple gravity assists
Stefan Jerg, Oliver Junge and Shane D. RossCommunications in Nonlinear Science and Numerical Simulation 14 (12) 4168 (2009)
https://doi.org/10.1016/j.cnsns.2008.12.009
Informatics in Control, Automation and Robotics
Giuseppe Della Penna, Benedetto Intrigila, Nadia Lauri and Daniele MagazzeniLecture Notes in Electrical Engineering, Informatics in Control, Automation and Robotics 37 75 (2009)
https://doi.org/10.1007/978-3-642-00271-7_5
Set Oriented Construction of Globally Optimal ControllersMengenorientierte Konstruktion global optimaler Regler
Lars Grüne and Oliver Jungeat - Automatisierungstechnik 57 (6) 287 (2009)
https://doi.org/10.1524/auto.2009.0777
Large-Scale Scientific Computing
Lars GrüneLecture Notes in Computer Science, Large-Scale Scientific Computing 4818 52 (2008)
https://doi.org/10.1007/978-3-540-78827-0_5
Global Optimal Control of Perturbed Systems
L. Grüne and O. JungeJournal of Optimization Theory and Applications 136 (3) 411 (2008)
https://doi.org/10.1007/s10957-007-9312-z
1746 (2008)
https://doi.org/10.1109/ACC.2008.4586744
An efficient algorithm for perturbed shortest path problems
Lars Grüne and Oliver JungePAMM 7 (1) 1025003 (2007)
https://doi.org/10.1002/pamm.200700714
Numerical fixed grid methods for differential inclusions
W.-J. Beyn and J. RiegerComputing 81 (1) 91 (2007)
https://doi.org/10.1007/s00607-007-0240-4
A min‐max version of Dijkstra's algorithm with application to perturbed optimal control problems
Marcus von LossowPAMM 7 (1) 4130027 (2007)
https://doi.org/10.1002/pamm.200700646
Convexity of reachable sets of nonlinear ordinary differential equations
G. ReißigAutomation and Remote Control 68 (9) 1527 (2007)
https://doi.org/10.1134/S000511790709007X
Modern Astrodynamics
MICHAEL DELLNILZ and OLIVER JUNGEElsevier Astrodynamics Series, Modern Astrodynamics 1 127 (2006)
https://doi.org/10.1016/S1874-9305(07)80007-0
Constructing Robust Feedback Laws by Set Oriented Numerical Methods
Lars Grüne and Oliver JungePAMM 5 (1) 157 (2005)
https://doi.org/10.1002/pamm.200510059
Optimal regulation of homogeneous systems
S. Emre TunaAutomatica 41 (11) 1879 (2005)
https://doi.org/10.1016/j.automatica.2005.05.019
4187 (2005)
https://doi.org/10.1109/CDC.2005.1582819
A set oriented approach to optimal feedback stabilization
Lars Grüne and Oliver JungeSystems & Control Letters 54 (2) 169 (2005)
https://doi.org/10.1016/j.sysconle.2004.08.005
Optimal regulator for the inverted pendulum via Euler–Lagrange backward integration
Thomas HolzhüterAutomatica 40 (9) 1613 (2004)
https://doi.org/10.1016/j.automatica.2004.04.012