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):

Incremental input-to-state stability for Lur'e systems and asymptotic behaviour in the presence of Stepanov almost periodic forcing

Max E. Gilmore, Chris Guiver and Hartmut Logemann
Journal of Differential Equations 300 692 (2021)
DOI: 10.1016/j.jde.2021.08.009
See this article

Discrete-time asymptotic controllability implies smooth control-Lyapunov function

Christopher M Kellett and Andrew R Teel
Systems & Control Letters 52 (5) 349 (2004)
DOI: 10.1016/j.sysconle.2004.02.011
See this article

Computer-Based Analysis of the Stochastic Stability of Mechanical Structures Driven by White and Colored Noise

Aydin Azizi and Poorya Ghafoorpoor Yazdi
SpringerBriefs in Applied Sciences and Technology, Computer-Based Analysis of the Stochastic Stability of Mechanical Structures Driven by White and Colored Noise 75 (2019)
DOI: 10.1007/978-981-13-6218-7_6
See this article

Iasson Karafyllis, Pierdomenico Pepe, Antoine Chaillet and Yuan Wang
6875 (2022)
DOI: 10.1109/CDC51059.2022.9992709
See this article

A characterization of integral input-to-state stability for hybrid systems

Navid Noroozi, Alireza Khayatian and Roman Geiselhart
Mathematics of Control, Signals, and Systems 29 (3) (2017)
DOI: 10.1007/s00498-017-0199-4
See this article

A converse Lyapunov theorem for, non-uniform in time, global exponential robust stability

J. Tsinias
Systems & Control Letters 44 (5) 373 (2001)
DOI: 10.1016/S0167-6911(01)00156-6
See this article

Feedback

V. Chellaboina and W.M. Haddad
IEEE Control Systems 23 (3) 101 (2003)
DOI: 10.1109/MCS.2003.1200258
See this article

Safety guarantee for time-delay systems with disturbances

Wenyou Liu, Yunjun Bai, Li Jiao and Naijun Zhan
Science China Information Sciences 66 (3) (2023)
DOI: 10.1007/s11432-020-3266-6
See this article

Stability and robustness for saddle-point dynamics through monotone mappings

Rafal Goebel
Systems & Control Letters 108 16 (2017)
DOI: 10.1016/j.sysconle.2017.07.014
See this article

Hybrid systems: Generalized solutions and robust stability

Rafal Goebel, Joao Hespanha, Andrew R. Teel, Chaohong Cai and Ricardo Sanfelice
IFAC Proceedings Volumes 37 (13) 1 (2004)
DOI: 10.1016/S1474-6670(17)31194-1
See this article

Nonsmooth Lyapunov functions and discontinuous Carathéodory systems

Andrea Bacciotti and Francesca Ceragioli
IFAC Proceedings Volumes 37 (13) 841 (2004)
DOI: 10.1016/S1474-6670(17)31330-7
See this article

Input-to-State Stability of Infinite-Dimensional Systems: Recent Results and Open Questions

Andrii Mironchenko and Christophe Prieur
SIAM Review 62 (3) 529 (2020)
DOI: 10.1137/19M1291248
See this article

On global exponential stability preservation under sampling for globally Lipschitz time-delay systems

Pierdomenico Pepe and Emilia Fridman
Automatica 82 295 (2017)
DOI: 10.1016/j.automatica.2017.04.055
See this article

On Lyapunov-Krasovskii Characterizations of Input-to-Output Stability

Hasala Gallolu Kankanamalage, Yuandan Lin and Yuan Wang
IFAC-PapersOnLine 50 (1) 14362 (2017)
DOI: 10.1016/j.ifacol.2017.08.2015
See this article

Smooth Lyapunov Functions for Multistable Differential Inclusions

Paolo Forni and David Angeli
IFAC-PapersOnLine 50 (1) 1661 (2017)
DOI: 10.1016/j.ifacol.2017.08.334
See this article

Input-to-state-KL-stability and criteria for a class of hybrid dynamical systems

Bin Liu, David J. Hill and Zhijie Sun
Applied Mathematics and Computation 326 124 (2018)
DOI: 10.1016/j.amc.2018.01.002
See this article

Global Lyapunov Analysis of Multistable Nonlinear Systems

Denis Efimov
SIAM Journal on Control and Optimization 50 (5) 3132 (2012)
DOI: 10.1137/090767509
See this article

Stability Robustness in the Presence of Exponentially Unstable Isolated Equilibria

David Angeli and Laurent Praly
IEEE Transactions on Automatic Control 56 (7) 1582 (2011)
DOI: 10.1109/TAC.2010.2091170
See this article

A Family of Global Stabilizers for Quasi-Optimal Control of Planar Linear Saturated Systems

F Forni, S Galeani and L Zaccarian
IEEE Transactions on Automatic Control 55 (5) 1175 (2010)
DOI: 10.1109/TAC.2010.2041978
See this article

Characterizations of Global Transversal Exponential Stability

Vincent Andrieu, Bayu Jayawardhana and Laurent Praly
IEEE Transactions on Automatic Control 66 (8) 3682 (2021)
DOI: 10.1109/TAC.2020.3036021
See this article

Yiming Meng, Yinan Li and Jun Liu
2284 (2021)
DOI: 10.23919/ACC50511.2021.9483376
See this article

Robust exponential input-to-state stability of impulsive systems with an application in micro-grids

Bin Liu, Chunxia Dou and David J. Hill
Systems & Control Letters 65 64 (2014)
DOI: 10.1016/j.sysconle.2013.12.005
See this article

Stability analysis of deterministic and stochastic switched systems via a comparison principle and multiple Lyapunov functions

Debasish Chatterjee and Daniel Liberzon
SIAM Journal on Control and Optimization 45 (1) 174 (2006)
DOI: 10.1137/040619429
See this article

Linear programming based Lyapunov function computation for differential inclusions

Sigurđur Freyr Hafstein, Lars Grüne and Robert Baier
Discrete and Continuous Dynamical Systems - Series B 17 (1) 33 (2011)
DOI: 10.3934/dcdsb.2012.17.33
See this article

Smooth Lyapunov Functions for Hybrid Systems—Part I: Existence Is Equivalent to Robustness

Chaohong Cai, Andrew R. Teel and Rafal Goebel
IEEE Transactions on Automatic Control 52 (7) 1264 (2007)
DOI: 10.1109/TAC.2007.900829
See this article

Adaptive maneuvering, with experiments, for a model ship in a marine control laboratory

Roger Skjetne, Thor I. Fossen and Petar V. Kokotović
Automatica 41 (2) 289 (2005)
DOI: 10.1016/j.automatica.2004.10.006
See this article

Input-to-State Stability, Integral Input-to-State Stability, and Unbounded Level Sets

Christopher M. Kellett, Fabian R. Wirth and Peter M. Dower
IFAC Proceedings Volumes 46 (23) 38 (2013)
DOI: 10.3182/20130904-3-FR-2041.00046
See this article

Lyapunov functions for discontinuous difference inclusions

Roman Geiselhart
IFAC-PapersOnLine 49 (18) 223 (2016)
DOI: 10.1016/j.ifacol.2016.10.167
See this article

Computation of Lyapunov functions for nonlinear differential equations via a Yoshizawa—type construction

Alina I. Doban and Mircea Lazar
IFAC-PapersOnLine 49 (18) 29 (2016)
DOI: 10.1016/j.ifacol.2016.10.135
See this article

Stability analysis for stochastic hybrid systems: A survey

Andrew R. Teel, Anantharaman Subbaraman and Antonino Sferlazza
Automatica 50 (10) 2435 (2014)
DOI: 10.1016/j.automatica.2014.08.006
See this article

On Global Exponential Stability Preservation under Sampling for Globally Lipschitz Delay-Free and Retarded Systems

P. Pepe and E. Fridman
IFAC-PapersOnLine 49 (10) 41 (2016)
DOI: 10.1016/j.ifacol.2016.07.470
See this article

A converse Lyapunov theorem for strong global recurrence

Anantharaman Subbaraman and Andrew R. Teel
Automatica 49 (10) 2963 (2013)
DOI: 10.1016/j.automatica.2013.07.001
See this article

Convergent systems vs. incremental stability

Björn S. Rüffer, Nathan van de Wouw and Markus Mueller
Systems & Control Letters 62 (3) 277 (2013)
DOI: 10.1016/j.sysconle.2012.11.015
See this article

Non-uniform in time robust global asymptotic output stability

Iasson Karafyllis
Systems & Control Letters 54 (3) 181 (2005)
DOI: 10.1016/j.sysconle.2004.08.004
See this article

Relaxed Persistent Flow/Jump Conditions for Uniform Global Asymptotic Stability

Christophe Prieur, Andrew R. Teel and Luca Zaccarian
IEEE Transactions on Automatic Control 59 (10) 2766 (2014)
DOI: 10.1109/TAC.2014.2311611
See this article

Sufficient Conditions for Closed-Loop Asymptotic Controllability and Stabilization by Smooth Time-Varying Feedback Integrator

J. Tsinias
IEEE Transactions on Automatic Control 53 (9) 1983 (2008)
DOI: 10.1109/TAC.2008.929393
See this article

Homogeneous feedback design of differential inclusions based on control Lyapunov functions

Junfeng Zhang, Zhengzhi Han and Jun Huang
Communications in Nonlinear Science and Numerical Simulation 18 (10) 2790 (2013)
DOI: 10.1016/j.cnsns.2013.03.015
See this article

Smooth Lyapunov functions and robustness of stability for difference inclusions

Christopher M Kellett and Andrew R Teel
Systems & Control Letters 52 (5) 395 (2004)
DOI: 10.1016/j.sysconle.2004.02.015
See this article

On partial detectability of the nonlinear dynamic systems

V. I. Vorotnikov and Yu. G. Martyshenko
Automation and Remote Control 70 (1) 20 (2009)
DOI: 10.1134/S0005117909010020
See this article

Topological Obstructions to Submanifold Stabilization

Abdol-Reza Mansouri
IEEE Transactions on Automatic Control 55 (7) 1701 (2010)
DOI: 10.1109/TAC.2010.2046922
See this article

Nonsmooth Analysis in Control Theory: A Survey

Francis Clarke
European Journal of Control 7 (2-3) 145 (2001)
DOI: 10.3166/ejc.7.145-159
See this article

Feedback Stabilization of Controlled Dynamical Systems

Vincent Andrieu
Lecture Notes in Control and Information Sciences, Feedback Stabilization of Controlled Dynamical Systems 473 3 (2017)
DOI: 10.1007/978-3-319-51298-3_1
See this article

Further remarks on strict input-to-state stable Lyapunov functions for time-varying systems

Michael Malisoff and Frédéric Mazenc
Automatica 41 (11) 1973 (2005)
DOI: 10.1016/j.automatica.2005.05.015
See this article

Discontinuous dynamical systems

Jorge Cortes
IEEE Control Systems Magazine 28 (3) 36 (2008)
DOI: 10.1109/MCS.2008.919306
See this article

A unified framework for input-to-state stability in systems with two time scales

A.R. Teel, L. Moreau and D. Nesic
IEEE Transactions on Automatic Control 48 (9) 1526 (2003)
DOI: 10.1109/TAC.2003.816966
See this article

Input to state set stability for pulse width modulated control systems with disturbances

A.R. Teel, L. Moreau and D. Nešić
Systems & Control Letters 51 (1) 23 (2004)
DOI: 10.1016/S0167-6911(03)00192-0
See this article

State Constrained Feedback Stabilization

F. H. Clarke and R. J. Stern
SIAM Journal on Control and Optimization 42 (2) 422 (2003)
DOI: 10.1137/S036301290240453X
See this article

An alternative converse Lyapunov theorem for discrete-time systems

Roman Geiselhart, Rob H. Gielen, Mircea Lazar and Fabian R. Wirth
Systems & Control Letters 70 49 (2014)
DOI: 10.1016/j.sysconle.2014.05.007
See this article

Partial equiasymptotic stability of nonlinear dynamic systems

S. A. Alekseeva, V. I. Vorotnikov and V. A. Feofanova
Automation and Remote Control 66 (2) 171 (2005)
DOI: 10.1007/s10513-005-0041-1
See this article

Lyapunov and feedback characterizations of state constrained controllability and stabilization

F.H. Clarke and R.J. Stern
Systems & Control Letters 54 (8) 747 (2005)
DOI: 10.1016/j.sysconle.2004.11.013
See this article

Computation of Lyapunov functions for systems with multiple local attractors

Christopher M. Kellett, Sigurdur F. Hafstein, Peter Giesl and Jóhann Björnsson
Discrete and Continuous Dynamical Systems 35 (9) 4019 (2015)
DOI: 10.3934/dcds.2015.35.4019
See this article

A Converse Lyapunov Theorem for Linear Parameter-Varying and Linear Switching Systems

Fabian Wirth
SIAM Journal on Control and Optimization 44 (1) 210 (2005)
DOI: 10.1137/S0363012903434790
See this article

A metric approach to the converse Lyapunov theorem for continuous multivalued dynamics

Antonio Siconolfi and Gabriele Terrone
Nonlinearity 20 (5) 1077 (2007)
DOI: 10.1088/0951-7715/20/5/002
See this article

Taming Heterogeneity and Complexity of Embedded Control

Antoine Chaillet
Taming Heterogeneity and Complexity of Embedded Control 137 (2013)
DOI: 10.1002/9780470612217.ch9
See this article

Finite time stability and stabilization of a class of continuous systems

Emmanuel Moulay and Wilfrid Perruquetti
Journal of Mathematical Analysis and Applications 323 (2) 1430 (2006)
DOI: 10.1016/j.jmaa.2005.11.046
See this article

Passivity as a Design Tool for Group Coordination

Murat Arcak
IEEE Transactions on Automatic Control 52 (8) 1380 (2007)
DOI: 10.1109/TAC.2007.902733
See this article

Further Results on Incremental Input-to-State Stability

D. Angeli
IEEE Transactions on Automatic Control 54 (6) 1386 (2009)
DOI: 10.1109/TAC.2009.2015561
See this article

Robustness of stability through necessary and sufficient Lyapunov-like conditions for systems with a continuum of equilibria

Rafal Goebel
Systems & Control Letters 65 81 (2014)
DOI: 10.1016/j.sysconle.2013.12.014
See this article

On the topological structure of attraction basins for differential inclusions

Christopher G. Mayhew and Andrew R. Teel
Systems & Control Letters 60 (12) 1045 (2011)
DOI: 10.1016/j.sysconle.2011.07.012
See this article

Nonlinear Control of Dynamic Networks

Automation and Control Engineering, Nonlinear Control of Dynamic Networks 20140611 305 (2014)
DOI: 10.1201/b16759-15
See this article

On the Robustness of $\mathcalKL$-stability for Difference Inclusions: Smooth Discrete-Time Lyapunov Functions

Christopher M. Kellett and Andrew R. Teel
SIAM Journal on Control and Optimization 44 (3) 777 (2005)
DOI: 10.1137/S0363012903435862
See this article

On the Robust Practical Global Stability of Nonlinear Time-varying Systems

Bassem Ben Hamed
Mediterranean Journal of Mathematics 10 (3) 1591 (2013)
DOI: 10.1007/s00009-012-0227-z
See this article

LaSalle-Yoshizawa Corollaries for Nonsmooth Systems

Nicholas Fischer, Rushikesh Kamalapurkar and Warren E. Dixon
IEEE Transactions on Automatic Control 58 (9) 2333 (2013)
DOI: 10.1109/TAC.2013.2246900
See this article

Hybrid Feedback Control and Robust Stabilization of Nonlinear Systems

Christophe Prieur, Rafal Goebel and Andrew R. Teel
IEEE Transactions on Automatic Control 52 (11) 2103 (2007)
DOI: 10.1109/TAC.2007.908320
See this article

On converse Lyapunov theorems for fluid network models

Michael Schönlein and Fabian Wirth
Queueing Systems 70 (4) 339 (2012)
DOI: 10.1007/s11134-012-9279-9
See this article

Smooth Morse–Lyapunov Functions of Strong Attractors for Differential Inclusions

Desheng Li and Yanling Wang
SIAM Journal on Control and Optimization 50 (1) 368 (2012)
DOI: 10.1137/10081280X
See this article

A passivity approach to game-theoretic CDMA power control

X. Fan, T. Alpcan, M. Arcak, T.J. Wen and T. Başar
Automatica 42 (11) 1837 (2006)
DOI: 10.1016/j.automatica.2006.05.022
See this article

A Generalization of Zubov's Method to Perturbed Systems

Fabio Camilli, Lars Grüne and Fabian Wirth
SIAM Journal on Control and Optimization 40 (2) 496 (2001)
DOI: 10.1137/S036301299936316X
See this article

On the existence of nonsmooth control-Lyapunov functions in the sense of generalized gradients

Ludovic Rifford
ESAIM: Control, Optimisation and Calculus of Variations 6 593 (2001)
DOI: 10.1051/cocv:2001124
See this article

Classical converse theorems in Lyapunov's second method

Christopher M. Kellett
Discrete and Continuous Dynamical Systems - Series B 20 (8) 2333 (2015)
DOI: 10.3934/dcdsb.2015.20.2333
See this article

A Lyapunov approach to incremental stability properties

D. Angeli
IEEE Transactions on Automatic Control 47 (3) 410 (2002)
DOI: 10.1109/9.989067
See this article

Optimality-based dynamic allocation with nonlinear first-order redundant actuators

Thomas E. Passenbrunner, Mario Sassano and Luca Zaccarian
European Journal of Control 31 33 (2016)
DOI: 10.1016/j.ejcon.2016.04.002
See this article

Input–output-to-state stability for discrete-time systems

Chaohong Cai and Andrew R. Teel
Automatica 44 (2) 326 (2008)
DOI: 10.1016/j.automatica.2007.05.022
See this article

Partial stability and control: The state-of-the-art and development prospects

V. I. Vorotnikov
Automation and Remote Control 66 (4) 511 (2005)
DOI: 10.1007/s10513-005-0099-9
See this article

Computing continuous and piecewise affine lyapunov functions for nonlinear systems

Huijuan Li, Christopher M. Kellett and Sigurdur F. Hafstein
Journal of Computational Dynamics 2 (2) 227 (2016)
DOI: 10.3934/jcd.2015004
See this article

Gamma process with recursive MLE for wear PDF prediction in precognitive maintenance under aperiodic monitoring

Heng-Chao Yan, Jun-Hong Zhou and Chee Khiang Pang
Mechatronics 31 68 (2015)
DOI: 10.1016/j.mechatronics.2015.05.009
See this article

Lyapunov Methods for Time-Invariant Delay Difference Inclusions

R. H. Gielen, M. Lazar and I. V. Kolmanovsky
SIAM Journal on Control and Optimization 50 (1) 110 (2012)
DOI: 10.1137/100807065
See this article

Characterizations of input-to-state stability for hybrid systems

Chaohong Cai and Andrew R. Teel
Systems & Control Letters 58 (1) 47 (2009)
DOI: 10.1016/j.sysconle.2008.07.009
See this article

Review on computational methods for Lyapunov functions

Peter Giesl and Sigurdur Hafstein
Discrete and Continuous Dynamical Systems - Series B 20 (8) 2291 (2015)
DOI: 10.3934/dcdsb.2015.20.2291
See this article

Control Lyapunov Functions and Zubov's Method

Fabio Camilli, Lars Grüne and Fabian Wirth
SIAM Journal on Control and Optimization 47 (1) 301 (2008)
DOI: 10.1137/06065129X
See this article

On partial stability theory of nonlinear dynamic systems

V. I. Vorotnikov and Yu. G. Martyshenko
Journal of Computer and Systems Sciences International 49 (5) 702 (2010)
DOI: 10.1134/S1064230710050047
See this article

Robust stability of a class of Networked Control Systems

Merid Lješnjanin, Dragan Nešić and Daniel E. Quevedo
Automatica 73 117 (2016)
DOI: 10.1016/j.automatica.2016.06.026
See this article

Lyapunov characterization of forced oscillations

Tingshu Hu, Andrew R. Teel and Zongli Lin
Automatica 41 (10) 1723 (2005)
DOI: 10.1016/j.automatica.2005.04.021
See this article

Asymptotic stability and smooth Lyapunov functions for a class of abstract dynamical systems

Michael Schönlein
Discrete and Continuous Dynamical Systems 37 (7) 4053 (2017)
DOI: 10.3934/dcds.2017172
See this article

A Converse Lyapunov Theorem for Nonuniform in Time Global Asymptotic Stability and Its Application to Feedback Stabilization

I. Karafyllis and J. Tsinias
SIAM Journal on Control and Optimization 42 (3) 936 (2003)
DOI: 10.1137/S0363012901392967
See this article

Feedback Stabilization of Controlled Dynamical Systems

Andrew R. Teel
Lecture Notes in Control and Information Sciences, Feedback Stabilization of Controlled Dynamical Systems 473 329 (2017)
DOI: 10.1007/978-3-319-51298-3_13
See this article

Control Lyapunov functions and stabilization by means of continuous time-varying feedback

Iasson Karafyllis and John Tsinias
ESAIM: Control, Optimisation and Calculus of Variations 15 (3) 599 (2009)
DOI: 10.1051/cocv:2008046
See this article

Computation of non-monotonic Lyapunov functions for continuous-time systems

Huijuan Li and AnPing Liu
Communications in Nonlinear Science and Numerical Simulation 50 35 (2017)
DOI: 10.1016/j.cnsns.2017.02.017
See this article

Weak Converse Lyapunov Theorems and Control-Lyapunov Functions

Christopher M. Kellett and Andrew R. Teel
SIAM Journal on Control and Optimization 42 (6) 1934 (2004)
DOI: 10.1137/S0363012901398186
See this article

PD+ Based Output Feedback Attitude Control of Rigid Bodies

R. Schlanbusch, A. Loria, R. Kristiansen and P. J. Nicklasson
IEEE Transactions on Automatic Control 57 (8) 2146 (2012)
DOI: 10.1109/TAC.2012.2183189
See this article

A Converse Lyapunov Theorem and Robustness for Asymptotic Stability in Probability

Andrew R. Teel, Joao P. Hespanha and Anantharaman Subbaraman
IEEE Transactions on Automatic Control 59 (9) 2426 (2014)
DOI: 10.1109/TAC.2014.2322431
See this article

Transverse Exponential Stability and Applications

Vincent Andrieu, Bayu Jayawardhana and Laurent Praly
IEEE Transactions on Automatic Control 61 (11) 3396 (2016)
DOI: 10.1109/TAC.2016.2528050
See this article

Necessary and sufficient conditions for uniform semiglobal practical asymptotic stability: Application to cascaded systems

Antoine Chaillet and Antonio Loría
Automatica 42 (11) 1899 (2006)
DOI: 10.1016/j.automatica.2006.05.028
See this article

On “uniformity” in definitions of global asymptotic stability for time-varying nonlinear systems

Andrew R. Teel and Luca Zaccarian
Automatica 42 (12) 2219 (2006)
DOI: 10.1016/j.automatica.2006.07.012
See this article

Computing Lyapunov functions for strongly asymptotically stable differential inclusions

R. Baier, L. Grüne and S.F. Hafstein
IFAC Proceedings Volumes 43 (14) 1098 (2010)
DOI: 10.3182/20100901-3-IT-2016.00132
See this article

Characterization of Forced Vibration for Difference Inclusions: A Lyapunov Approach

Tingshu Hu and Andrew R. Teel
IEEE Transactions on Circuits and Systems I: Regular Papers 54 (6) 1367 (2007)
DOI: 10.1109/TCSI.2007.895530
See this article

Feedback Stabilization of Controlled Dynamical Systems

Georges Bastin and Jean-Michel Coron
Lecture Notes in Control and Information Sciences, Feedback Stabilization of Controlled Dynamical Systems 473 265 (2017)
DOI: 10.1007/978-3-319-51298-3_10
See this article

Backstepping controller synthesis and characterizations of incremental stability

Majid Zamani, Nathan van de Wouw and Rupak Majumdar
Systems & Control Letters 62 (10) 949 (2013)
DOI: 10.1016/j.sysconle.2013.07.002
See this article

Global converse Lyapunov theorems for infinite-dimensional systems

Andrii Mironchenko and Fabian Wirth
IFAC-PapersOnLine 49 (18) 897 (2016)
DOI: 10.1016/j.ifacol.2016.10.280
See this article

Stability via Hybrid-Event-Time Lyapunov Function and Impulsive Stabilization for Discrete-Time Delayed Switched Systems

Bin Liu and David J. Hill
SIAM Journal on Control and Optimization 52 (2) 1338 (2014)
DOI: 10.1137/110839096
See this article

Characterization of uniform attractors for control systems

Josiney A. Souza
International Journal of Control 88 (11) 2403 (2015)
DOI: 10.1080/00207179.2015.1046493
See this article

Connection between cooperative positive systems and integral input-to-state stability of large-scale systems

Björn S. Rüffer, Christopher M. Kellett and Steven R. Weller
Automatica 46 (6) 1019 (2010)
DOI: 10.1016/j.automatica.2010.03.012
See this article

Robust Input-to-State Stability for Hybrid Systems

Chaohong Cai and Andrew R. Teel
SIAM Journal on Control and Optimization 51 (2) 1651 (2013)
DOI: 10.1137/110824747
See this article

Converse Lyapunov Theorems for Non-Uniform in Time Global Asymptotic Stability and Stabilization by Means of Time-Varying Feedback

I. Karafyllis and J. Tsinias
IFAC Proceedings Volumes 34 (6) 769 (2001)
DOI: 10.1016/S1474-6670(17)35272-2
See this article

Generalized multi-synchronization: A leader-following consensus problem of multi-agent systems

Christopher D. Cruz-Ancona, Rafael Martínez-Guerra and Claudia A. Pérez-Pinacho
Neurocomputing 233 52 (2017)
DOI: 10.1016/j.neucom.2016.07.063
See this article

On the equivalence between global recurrence and the existence of a smooth Lyapunov function for hybrid systems

Anantharaman Subbaraman and Andrew R. Teel
Systems & Control Letters 88 54 (2016)
DOI: 10.1016/j.sysconle.2015.08.002
See this article

Nonstandard use of anti-windup loop for systems with input backlash

Sophie Tarbouriech, Isabelle Queinnec and Christophe Prieur
IFAC Journal of Systems and Control 6 33 (2018)
DOI: 10.1016/j.ifacsc.2018.10.003
See this article

Towards sensorless observers for sinusoidal electric machines with variable speed and no mechanical model: A promising approach for PMSMs

Andrea Tilli, Alessandro Bosso and Christian Conficoni
Systems & Control Letters 123 16 (2019)
DOI: 10.1016/j.sysconle.2018.10.011
See this article

Reinforcement learning for control: Performance, stability, and deep approximators

Lucian Buşoniu, Tim de Bruin, Domagoj Tolić, Jens Kober and Ivana Palunko
Annual Reviews in Control 46 8 (2018)
DOI: 10.1016/j.arcontrol.2018.09.005
See this article

Stability and Stabilization of Nonlinear Systems

Iasson Karafyllis and Zhong-Ping Jiang
Communications and Control Engineering, Stability and Stabilization of Nonlinear Systems 123 (2011)
DOI: 10.1007/978-0-85729-513-2_3
See this article

Sufficient conditions for robustness of $$\mathcal{K}\mathcal{L}$$ -stability for difference inclusions

Christopher M. Kellett and Andrew R. Teel
Mathematics of Control, Signals, and Systems 19 (3) 183 (2007)
DOI: 10.1007/s00498-007-0016-6
See this article

Solutions to hybrid inclusions via set and graphical convergence with stability theory applications

R. Goebel and A.R. Teel
Automatica 42 (4) 573 (2006)
DOI: 10.1016/j.automatica.2005.12.019
See this article

On sensor quantization in linear control systems: Krasovskii solutions meet semidefinite programming

Francesco Ferrante, Frédéric Gouaisbaut and Sophie Tarbouriech
IMA Journal of Mathematical Control and Information 37 (2) 395 (2020)
DOI: 10.1093/imamci/dnz003
See this article

Consensus of Multiagent Systems Described by Various Noninteger Derivatives

G. Nava-Antonio, G. Fernández-Anaya, E. G. Hernández-Martínez, J. J. Flores-Godoy and E. D. Ferreira-Vázquez
Complexity 2019 1 (2019)
DOI: 10.1155/2019/3297410
See this article

Advanced methods for fault diagnosis and fault-tolerant control

Steven X. Ding
Advanced methods for fault diagnosis and fault-tolerant control 267 (2021)
DOI: 10.1007/978-3-662-62004-5_10
See this article

Non-coercive Lyapunov functions for infinite-dimensional systems

Andrii Mironchenko and Fabian Wirth
Journal of Differential Equations 266 (11) 7038 (2019)
DOI: 10.1016/j.jde.2018.11.026
See this article

Stability and Stabilization of Nonlinear Systems

Iasson Karafyllis and Zhong-Ping Jiang
Communications and Control Engineering, Stability and Stabilization of Nonlinear Systems 55 (2011)
DOI: 10.1007/978-0-85729-513-2_2
See this article

Global complete observability and output-to-state stability imply the existence of a globally convergent observer

Alessandro Astolfi and Laurent Praly
Mathematics of Control, Signals, and Systems 18 (1) 32 (2006)
DOI: 10.1007/s00498-005-0161-8
See this article

On observer-based fault detection for nonlinear systems

Ying Yang, Steven X. Ding and Linlin Li
Systems & Control Letters 82 18 (2015)
DOI: 10.1016/j.sysconle.2015.05.004
See this article

A Lyapunov-like characterization of robustness of pointwise asymptotic stability for differential inclusions

Rafal Goebel
IFAC-PapersOnLine 52 (16) 251 (2019)
DOI: 10.1016/j.ifacol.2019.11.787
See this article

From local to global asymptotic stabilizability for weakly contractive control systems

Lucas Brivadis, Ludovic Sacchelli, Vincent Andrieu, Jean-Paul Gauthier and Ulysse Serres
Automatica 124 109308 (2021)
DOI: 10.1016/j.automatica.2020.109308
See this article

A Hybrid Model of Opinion Dynamics With Memory-Based Connectivity

S. Mariano, I. C. Morarescu, R. Postoyan and L. Zaccarian
IEEE Control Systems Letters 4 (3) 644 (2020)
DOI: 10.1109/LCSYS.2020.2989077
See this article

A tool for analysis and synthesis of heterogeneous multi-agent systems under rank-deficient coupling

Jin Gyu Lee and Hyungbo Shim
Automatica 117 108952 (2020)
DOI: 10.1016/j.automatica.2020.108952
See this article

Piecewise structure of Lyapunov functions and densely checked decrease conditions for hybrid systems

Matteo Della Rossa, Rafal Goebel, Aneel Tanwani and Luca Zaccarian
Mathematics of Control, Signals, and Systems 33 (1) 123 (2021)
DOI: 10.1007/s00498-020-00273-9
See this article

Roger Skjetne, Ulrik Jorgensen and Andrew R. Teel
2467 (2011)
DOI: 10.1109/CDC.2011.6161364
See this article

Hasala Gallolu Kankanamalage, Yuandan Lin and Yuan Wang
490 (2017)
DOI: 10.1109/ICCA.2017.8003109
See this article

Liu Bin, Hill David John, Liao Xiang-Ping and Liu Dong-Nan
2274 (2015)
DOI: 10.1109/ChiCC.2015.7259987
See this article

Bin Liu, Dong-Nan Liu and Zhong Wang
993 (2016)
DOI: 10.1109/CCDC.2016.7531128
See this article

M. Malisoff and F. Mazenc
1889 (2005)
DOI: 10.1109/ACC.2005.1470244
See this article

Hasala Gallolu Kankanamalage and Yuan Wang
6416 (2016)
DOI: 10.1109/CDC.2016.7799256
See this article

Antoine Chaillet and Antonio Loria
4259 (2006)
DOI: 10.1109/CDC.2006.377364
See this article

Ruiyue Ouyang, Bayu Jayawardhana and Vincent Andrieu
5894 (2012)
DOI: 10.1109/CDC.2012.6426470
See this article

Bin Liu, Hill David John and Tao Liu
2374 (2016)
DOI: 10.1109/ChiCC.2016.7553719
See this article

C.M. Kellett and A.R. Teel
6 5961 (2003)
DOI: 10.1109/CDC.2003.1271964
See this article

Ricardo G. Sanfelice
199 (2019)
DOI: 10.1007/978-3-319-77489-3_9
See this article

A. Astolfi and L. Praly
2 1562 (2003)
DOI: 10.1109/CDC.2003.1272834
See this article

Bjorn S. Ruffer, Christopher M. Kellett and Steven R. Weller
638 (2009)
DOI: 10.1109/CDC.2009.5400344
See this article

Paolo Forni and David Angeli
5481 (2017)
DOI: 10.1109/CDC.2017.8264471
See this article

E. Moulay and W. Perruquetti
4742 (2005)
DOI: 10.1109/CDC.2005.1582911
See this article

Chaohong Cai, Andrew R. Teel and Rafal Goebel
3456 (2007)
DOI: 10.1109/ACC.2007.4282563
See this article

R. Goebel and A.R. Teel
557 (2005)
DOI: 10.1109/ACC.2005.1470015
See this article

Sigurdur Hafstein, Christopher M. Kellett and Huijuan Li
548 (2014)
DOI: 10.1109/ACC.2014.6858660
See this article

Chaohong Cai, Andrew R. Teel and Rafal Goebel
276 (2006)
DOI: 10.1109/CDC.2006.377007
See this article

C.M. Kellett and A.R. Teel
4 4282 (2002)
DOI: 10.1109/CDC.2002.1185044
See this article

Johannes Tjonnas, Antoine Chaillet, Elena Pantele and Tor Arne Johansen
338 (2006)
DOI: 10.1109/CDC.2006.376841
See this article

S.E. Tuna and A.R. Teel
1606 (2004)
DOI: 10.1109/CDC.2004.1430274
See this article

R. Postoyan, J.J.B. Biemond, W.P.M.H. Heemels and N. van de Wouw
5544 (2015)
DOI: 10.1109/CDC.2015.7403088
See this article

D. Nesic and A.R. Teel
2 1556 (2003)
DOI: 10.1109/CDC.2003.1272833
See this article

Vincent Andrieu, Bayu Jayawardhana and Laurent Praly
5915 (2013)
DOI: 10.1109/CDC.2013.6760822
See this article

Chaohong Cai, A.R. Teel and R. Goebel
12 (2005)
DOI: 10.1109/ACC.2005.1469900
See this article

Christopher M. Kellett and Peter M. Dower
2970 (2012)
DOI: 10.1109/CDC.2012.6426008
See this article

Fulvio Forni, Sergio Galeani and Luca Zaccarian
883 (2008)
DOI: 10.1109/MED.2008.4602151
See this article

Bin Liu, David J. Hill and Kok Lay Teo
3926 (2009)
DOI: 10.1109/CDC.2009.5400140
See this article

David Angeli and Laurent Praly
1581 (2010)
DOI: 10.1109/CDC.2010.5717582
See this article

Yang Yang and Yuan Wang
3975 (2013)
DOI: 10.1109/CDC.2013.6760497
See this article

C.M. Kellett and A.R. Teel
3627 (2003)
DOI: 10.1109/CDC.2003.1271711
See this article

Alessandro Bosso, Andrea Serrani, Christian Conficoni and Andrea Tilli
2039 (2019)
DOI: 10.1109/CDC40024.2019.9030145
See this article

Duc N. Tran, Bjorn S. Ruffer and Christopher M. Kellett
477 (2016)
DOI: 10.1109/CDC.2016.7798314
See this article

B.P. Ingalls, E.D. Sontag and Yuan Wang
4 3946 (2002)
DOI: 10.1109/CDC.2002.1184983
See this article

Yashar Kouhi and Naim Bajcinca
4735 (2011)
DOI: 10.1109/CDC.2011.6161474
See this article

R. Skjetne, A.R. Teel and P.V. Kokotovic
4 3926 (2002)
DOI: 10.1109/CDC.2002.1184979
See this article

Ruiyue Ouyang, Bayu Jayawardhana and Jacquelien M. A. Scherpen
6640 (2013)
DOI: 10.1109/CDC.2013.6760940
See this article

Jakub Orlowski, Antoine Chaillet, Mario Sigalotti and Alain Destexhe
5189 (2018)
DOI: 10.1109/CDC.2018.8619213
See this article

Merid Ljesnjanin, Dragan Nesic and Daniel E. Quevedo
5020 (2015)
DOI: 10.1109/CDC.2015.7403004
See this article

F. Camilli, L. Grune and F. Wirth
3 3518 (2002)
DOI: 10.1109/CDC.2002.1184420
See this article

$\mathcal{KL}_*$ -stability for a class of hybrid dynamical systems

Bin Liu, Hai Huyen Heidi Dam, Kok Lay Teo and David John Hill
IMA Journal of Applied Mathematics 82 (5) 1043 (2017)
DOI: 10.1093/imamat/hxx023
See this article

Smooth Lyapunov Functions for Hybrid Systems Part II: (Pre)Asymptotically Stable Compact Sets

Chaohong Cai and R. Goebel
IEEE Transactions on Automatic Control 53 (3) 734 (2008)
DOI: 10.1109/TAC.2008.919257
See this article

Converse Barrier Functions via Lyapunov Functions

Jun Liu
IEEE Transactions on Automatic Control 67 (1) 497 (2022)
DOI: 10.1109/TAC.2021.3085419
See this article

R.H. Harsha Nawarathna, Yuandan Lin and Yuan Wang
6285 (2020)
DOI: 10.1109/CDC42340.2020.9303735
See this article

Computation of Lyapunov Functions for Nonlinear Differential Equations via a Massera-Type Construction

Alina Ionela Doban and Mircea Lazar
IEEE Transactions on Automatic Control 63 (5) 1259 (2018)
DOI: 10.1109/TAC.2017.2736961
See this article

Counterexample to a Lyapunov Condition for Uniform Asymptotic Partial Stability

Jakub Orlowski, Antoine Chaillet and Mario Sigalotti
IEEE Control Systems Letters 4 (2) 397 (2020)
DOI: 10.1109/LCSYS.2019.2939717
See this article

Incremental Stability of Hybrid Dynamical Systems

J. J. Benjamin Biemond, Romain Postoyan, W. P. Maurice H. Heemels and Nathan van de Wouw
IEEE Transactions on Automatic Control 63 (12) 4094 (2018)
DOI: 10.1109/TAC.2018.2830506
See this article

Romain Postoyan, Mathieu Granzotto, Lucian Busoniu, Bruno Scherrer, Dragan Nessic and Jamal Daafouz
487 (2019)
DOI: 10.1109/CDC40024.2019.9030056
See this article

Robustness of Uncertain Switching Nonlinear Feedback Systems Against Large Time-Variation

Yu-Chen Sung, Sagar V. Patil and Michael G. Safonov
IEEE Transactions on Automatic Control 67 (2) 993 (2022)
DOI: 10.1109/TAC.2021.3077456
See this article

Remarks on input to state stability of perturbed gradient flows, motivated by model-free feedback control learning

Eduardo D. Sontag
Systems & Control Letters 161 105138 (2022)
DOI: 10.1016/j.sysconle.2022.105138
See this article

Cone-Copositive Lyapunov Functions for Complementarity Systems: Converse Result and Polynomial Approximation

Marianne Souaiby, Aneel Tanwani and Didier Henrion
IEEE Transactions on Automatic Control 67 (3) 1253 (2022)
DOI: 10.1109/TAC.2021.3061557
See this article

Rafael Martínez-Guerra and Juan Pablo Flores-Flores
75 (2023)
DOI: 10.1007/978-3-031-22669-4_4
See this article

Variants of Two-Measure Input-to-State Stability

Christopher M. Kellett and Fabian R. Wirth
IFAC-PapersOnLine 56 (1) 7 (2023)
DOI: 10.1016/j.ifacol.2023.02.002
See this article

Lyapunov-barrier characterization of robust reach–avoid–stay specifications for hybrid systems

Yiming Meng and Jun Liu
Nonlinear Analysis: Hybrid Systems 49 101340 (2023)
DOI: 10.1016/j.nahs.2023.101340
See this article

Further Results on Robustness of (Possibly Discontinuous) Sample and Hold Feedback

C.M. Kellett, H. Shim and A.R. Teel
IEEE Transactions on Automatic Control 49 (7) 1081 (2004)
DOI: 10.1109/TAC.2004.831184
See this article

Stability analysis of nonlinear inviscid microscopic and macroscopic traffic flow models of bidirectional cruise-controlled vehicles

Iasson Karafyllis, Dionysios Theodosis and Markos Papageorgiou
IMA Journal of Mathematical Control and Information 39 (2) 609 (2022)
DOI: 10.1093/imamci/dnac003
See this article

Converging Approximations of Attractors via Almost Lyapunov Functions and Semidefinite Programming

C. Schlosser
IEEE Control Systems Letters 6 2912 (2022)
DOI: 10.1109/LCSYS.2022.3180110
See this article

Alimzhan Sultangazin, Luigi Pannocchi, Lucas Fraile and Paulo Tabuada
8577 (2022)
DOI: 10.1109/ICRA46639.2022.9812054
See this article

Nonpathological ISS-Lyapunov Functions for Interconnected Differential Inclusions

Matteo Della Rossa, Aneel Tanwani and Luca Zaccarian
IEEE Transactions on Automatic Control 67 (8) 3774 (2022)
DOI: 10.1109/TAC.2021.3115437
See this article

Yiming Meng and Jun Liu
2283 (2022)
DOI: 10.23919/ACC53348.2022.9867253
See this article

Iasson Karafyllis, Dionysios Theodosis and Markos Papageorgiou
1042 (2022)
DOI: 10.23919/ACC53348.2022.9867663
See this article

A converse sum of squares lyapunov function for outer approximation of minimal attractor sets of nonlinear systems

Journal of Computational Dynamics 10 (1) 48 (2023)
DOI: 10.3934/jcd.2022019
See this article

Smooth converse Lyapunov-barrier theorems for asymptotic stability with safety constraints and reach-avoid-stay specifications

Yiming Meng, Yinan Li, Maxwell Fitzsimmons and Jun Liu
Automatica 144 110478 (2022)
DOI: 10.1016/j.automatica.2022.110478
See this article

Is Global Asymptotic Stability Necessarily Uniform for Time-Invariant Time-Delay Systems?

Iasson Karafyllis, Pierdomenico Pepe, Antoine Chaillet and Yuan Wang
SIAM Journal on Control and Optimization 60 (6) 3237 (2022)
DOI: 10.1137/22M1485887
See this article