Generalized solutions to hybrid dynamical systems
ESAIM: COCV, 14 4 (2008) 699-724
Published online: 2008-02-07
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):
Stochastic approximation of hybrid systems: Boundedness and asymptotic behavior
Andrew R. Teel, Ricardo G. Sanfelice and Rafal K. GoebelAnnual Reviews in Control 60 101015 (2025)
https://doi.org/10.1016/j.arcontrol.2025.101015
1216 (2025)
https://doi.org/10.23919/ACC63710.2025.11108026
Adaptive control for hybrid dynamical systems with user-defined rate of convergence
Mattia Gramuglia, Giri M. Kumar and Andrea L’AfflittoJournal of the Franklin Institute 361 (9) 106854 (2024)
https://doi.org/10.1016/j.jfranklin.2024.106854
(2024)
https://doi.org/10.5772/intechopen.1004814
Model reference adaptive control for nonlinear time‐varying hybrid dynamical systems
Andrea L'AfflittoInternational Journal of Adaptive Control and Signal Processing 37 (8) 2162 (2023)
https://doi.org/10.1002/acs.3631
The influence of saccades on yaw gaze stabilization in fly flight
Brock A. Davis, Jean-Michel Mongeau and Joseph AyersPLOS Computational Biology 19 (12) e1011746 (2023)
https://doi.org/10.1371/journal.pcbi.1011746
Filtered Split-Path Nonlinear Integrator: A Hybrid Controller for Transient Performance Improvement
B. Sharif, A. van der Maas, N. van de Wouw and W. P. M. H. HeemelsIEEE Transactions on Control Systems Technology 30 (2) 451 (2022)
https://doi.org/10.1109/TCST.2021.3050001
(2021)
https://doi.org/10.1101/2021.12.29.474433
Observer-Based Adaptive Hybrid Feedback for Robust Global Attitude Stabilization of a Rigid Body
Seyed Hamed Hashemi, Naser Pariz and Seyed Kamal Hosseini SaniIEEE Transactions on Aerospace and Electronic Systems 57 (3) 1919 (2021)
https://doi.org/10.1109/TAES.2021.3050665
On the Existence and Uniqueness of Poincaré Maps for Systems With Impulse Effects
Jacob R. Goodman and Leonardo Jesus ColomboIEEE Transactions on Automatic Control 65 (4) 1815 (2020)
https://doi.org/10.1109/TAC.2019.2941446
Cyber-Physical Power System (CPPS): A Review on Modeling, Simulation, and Analysis With Cyber Security Applications
Rajaa Vikhram Yohanandhan, Rajvikram Madurai Elavarasan, Premkumar Manoharan and Lucian Mihet-PopaIEEE Access 8 151019 (2020)
https://doi.org/10.1109/ACCESS.2020.3016826
Handbook of Model Predictive Control
Ricardo G. SanfeliceControl Engineering, Handbook of Model Predictive Control 199 (2019)
https://doi.org/10.1007/978-3-319-77489-3_9
A Lyapunov-like characterization of robustness of pointwise asymptotic stability for differential inclusions
Rafal GoebelIFAC-PapersOnLine 52 (16) 251 (2019)
https://doi.org/10.1016/j.ifacol.2019.11.787
1 (2019)
https://doi.org/10.1109/CCAC.2019.8921204
Splitting Algorithms, Modern Operator Theory, and Applications
Rafal GoebelSplitting Algorithms, Modern Operator Theory, and Applications 243 (2019)
https://doi.org/10.1007/978-3-030-25939-6_10
Asymptotic properties of Zeno solutions
Sergey Dashkovskiy and Petro FeketaNonlinear Analysis: Hybrid Systems 30 256 (2018)
https://doi.org/10.1016/j.nahs.2018.06.005
Hybrid Systems with Memory: Existence and Well-posedness of Generalized Solutions
Jun Liu and Andrew R. TeelSIAM Journal on Control and Optimization 56 (2) 1011 (2018)
https://doi.org/10.1137/140981708
Prolongation and stability of Zeno solutions to hybrid dynamical systems * *This work was supported by the German Federal Ministry of Education and Research (BMBF) as a part of the research project “LadeRamProdukt”.
Sergey Dashkovskiy and Petro FeketaIFAC-PapersOnLine 50 (1) 3429 (2017)
https://doi.org/10.1016/j.ifacol.2017.08.840
Feedback Stabilization of Controlled Dynamical Systems
Andrew R. TeelLecture Notes in Control and Information Sciences, Feedback Stabilization of Controlled Dynamical Systems 473 329 (2017)
https://doi.org/10.1007/978-3-319-51298-3_13
Lyapunov-Based Sufficient Conditions for Stability of Hybrid Systems With Memory
Jun Liu and Andrew R. TeelIEEE Transactions on Automatic Control 61 (4) 1057 (2016)
https://doi.org/10.1109/TAC.2015.2460031
A zero-crossing detection algorithm for robust simulation of hybrid systems jumping on surfaces
David A. Copp and Ricardo G. SanfeliceSimulation Modelling Practice and Theory 68 1 (2016)
https://doi.org/10.1016/j.simpat.2016.07.005
Safety Verification of Hybrid Automata with Transient Safe Modes
Guobin Wang and Jing LiuInternational Journal of Modeling and Optimization 6 (4) 238 (2016)
https://doi.org/10.7763/IJMO.2016.V6.533
4 261 (2016)
https://doi.org/10.1007/978-3-319-18072-4_13
Cyber-Physical Systems
Ricardo SanfeliceCyber-Physical Systems 3 (2015)
https://doi.org/10.1201/b19290-3
Robust Global Stabilization of the DC-DC Boost Converter via Hybrid Control
Thomas A. F. Theunisse, Jun Chai, Ricardo G. Sanfelice and W. P. Maurice H. HeemelsIEEE Transactions on Circuits and Systems I: Regular Papers 62 (4) 1052 (2015)
https://doi.org/10.1109/TCSI.2015.2413154
Adaptive sliding mode fuzzy control for unknown robots with arbitrarily-switched constraints
Ibrahim F. Jasim, Peter W. Plapper and Holger VoosMechatronics 30 174 (2015)
https://doi.org/10.1016/j.mechatronics.2015.07.001
A Recurrence Principle for Stochastic Difference Inclusions
Andrew R. TeelIEEE Transactions on Automatic Control 60 (2) 420 (2015)
https://doi.org/10.1109/TAC.2014.2339991
2252 (2015)
https://doi.org/10.1109/CDC.2015.7402542
Stability analysis for stochastic hybrid systems: A survey
Andrew R. Teel, Anantharaman Subbaraman and Antonino SferlazzaAutomatica 50 (10) 2435 (2014)
https://doi.org/10.1016/j.automatica.2014.08.006
Robustness of stability through necessary and sufficient Lyapunov-like conditions for systems with a continuum of equilibria
Rafal GoebelSystems & Control Letters 65 81 (2014)
https://doi.org/10.1016/j.sysconle.2013.12.014
Hybrid Systems with Memory: Modelling and Stability Analysis via Generalized Solutions
Jun Liu and Andrew R. TeelIFAC Proceedings Volumes 47 (3) 6019 (2014)
https://doi.org/10.3182/20140824-6-ZA-1003.02085
6403 (2013)
https://doi.org/10.1109/CDC.2013.6760902
Follow the Bouncing Ball: Global Results on Tracking and State Estimation With Impacts
Fulvio Forni, Andrew R. Teel and Luca ZaccarianIEEE Transactions on Automatic Control 58 (6) 1470 (2013)
https://doi.org/10.1109/TAC.2013.2237952
Discrete-time stochastic control systems: A continuous Lyapunov function implies robustness to strictly causal perturbations
Sergio Grammatico, Anantharaman Subbaraman and Andrew R. TeelAutomatica 49 (10) 2939 (2013)
https://doi.org/10.1016/j.automatica.2013.06.021
3635 (2013)
https://doi.org/10.1109/CDC.2013.6760442
2030 (2013)
https://doi.org/10.1109/CDC.2013.6760180
Robust supervisory control for uniting two output-feedback hybrid controllers with different objectives
Ricardo G. Sanfelice and Christophe PrieurAutomatica 49 (7) 1958 (2013)
https://doi.org/10.1016/j.automatica.2013.03.009
A Matrosov theorem for strong global recurrence
Anantharaman Subbaraman and Andrew R. TeelAutomatica 49 (11) 3390 (2013)
https://doi.org/10.1016/j.automatica.2013.08.009
Cooperative detection of areas of rapid change in spatial fields
Jorge CortésAutomatica 48 (4) 673 (2012)
https://doi.org/10.1016/j.automatica.2012.01.014
Robust Trajectory Tracking for a Class of Hybrid Systems: An Internal Model Principle Approach
S. Galeani, L. Menini and A. PotiniIEEE Transactions on Automatic Control 57 (2) 344 (2012)
https://doi.org/10.1109/TAC.2011.2162884
4051 (2012)
https://doi.org/10.1109/CDC.2012.6425860
6169 (2012)
https://doi.org/10.1109/CDC.2012.6425940
2449 (2012)
https://doi.org/10.1109/ACC.2012.6315684
Quaternion-Based Hybrid Feedback for Robust Global Attitude Synchronization
Christopher G. Mayhew, Ricardo G. Sanfelice, Jansen Sheng, Murat Arcak and Andrew R. TeelIEEE Transactions on Automatic Control 57 (8) 2122 (2012)
https://doi.org/10.1109/TAC.2011.2180777
Mathematics of Complexity and Dynamical Systems
Andrew R. Teel, Ricardo G. Sanfelice and Rafal GoebelMathematics of Complexity and Dynamical Systems 704 (2012)
https://doi.org/10.1007/978-1-4614-1806-1_43
7404 (2011)
https://doi.org/10.1109/CDC.2011.6161528
231 (2011)
https://doi.org/10.1145/1967701.1967735
On the topological structure of attraction basins for differential inclusions
Christopher G. Mayhew and Andrew R. TeelSystems & Control Letters 60 (12) 1045 (2011)
https://doi.org/10.1016/j.sysconle.2011.07.012
Stability and Completion of Zeno Equilibria in Lagrangian Hybrid Systems
Yizhar Or and Aaron D. AmesIEEE Transactions on Automatic Control 56 (6) 1322 (2011)
https://doi.org/10.1109/TAC.2010.2080790
On singular perturbations due to fast actuators in hybrid control systems
Ricardo G. Sanfelice and Andrew R. TeelAutomatica 47 (4) 692 (2011)
https://doi.org/10.1016/j.automatica.2011.01.055
3283 (2011)
https://doi.org/10.1109/CDC.2011.6161033
3289 (2010)
https://doi.org/10.1109/CDC.2010.5717277
6469 (2010)
https://doi.org/10.1109/CDC.2010.5717287
2390 (2010)
https://doi.org/10.1109/CDC.2010.5717280
Dynamical properties of hybrid systems simulators
Ricardo G. Sanfelice and Andrew R. TeelAutomatica 46 (2) 239 (2010)
https://doi.org/10.1016/j.automatica.2009.09.026
2396 (2010)
https://doi.org/10.1109/CDC.2010.5718164
Encyclopedia of Complexity and Systems Science
Andrew R. Teel, Ricardo G. Sanfelice and Rafal GoebelEncyclopedia of Complexity and Systems Science 4671 (2009)
https://doi.org/10.1007/978-0-387-30440-3_276
3870 (2009)
https://doi.org/10.1109/CDC.2009.5400628
Hybrid dynamical systems
Rafal Goebel, Ricardo G. Sanfelice and Andrew R. TeelIEEE Control Systems 29 (2) 28 (2009)
https://doi.org/10.1109/MCS.2008.931718
Hybrid Systems: Computation and Control
Ricardo G. Sanfelice and Emilio FrazzoliLecture Notes in Computer Science, Hybrid Systems: Computation and Control 4981 457 (2008)
https://doi.org/10.1007/978-3-540-78929-1_33
2254 (2008)
https://doi.org/10.1109/ACC.2008.4586827
Relaxation Results for Hybrid Inclusions
Chaohong Cai, Rafal Goebel and Andrew R. TeelSet-Valued Analysis 16 (5-6) 733 (2008)
https://doi.org/10.1007/s11228-007-0067-3
4700 (2008)
https://doi.org/10.1109/CDC.2008.4739481