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):

Robust feedback stabilization by means of Lyapunov-like functions determined by Lie brackets

Giovanni Fusco
Journal of Differential Equations 287 88 (2021)
DOI: 10.1016/j.jde.2021.03.048
See this article

Anton V. Proskurnikov and Manuel Mazo
111 (2018)
DOI: 10.1145/3178126.3178142
See this article

S. Baldi, P. A. Ioannou and E. B. Kosmatopoulos
979 (2012)
DOI: 10.1109/ACC.2012.6314764
See this article

Emmanuel Cruz-Zavala, Tonametl Sanchez, Jaime A. Moreno and Emmanuel Nufio
1530 (2018)
DOI: 10.1109/CDC.2018.8619664
See this article

L. Faubourg and J.-B. Pomet
2 1932 (2002)
DOI: 10.1109/CDC.2002.1184809
See this article

Frederic Mazenc, Michael Malisoff and Olivier Bernard
2933 (2008)
DOI: 10.1109/ACC.2008.4586941
See this article

N. Hudon and M. Guay
8008 (2009)
DOI: 10.1109/CDC.2009.5400500
See this article

Frederic Mazenc and Michael Malisoff
96 (2009)
DOI: 10.1109/ACC.2009.5159956
See this article

Nicolas Marchand, Sylvain Durand and Jose Fermi Guerrero Castellanos
8199 (2011)
DOI: 10.1109/CDC.2011.6160368
See this article

F. Mazenc and M. Malisoff
4724 (2005)
DOI: 10.1109/CDC.2005.1582908
See this article

D. Efimov and W. Perruquetti
1747 (2011)
DOI: 10.1109/CDC.2011.6160775
See this article

Constructions of strict Lyapunov functions for discrete time and hybrid time-varying systems

Michael Malisoff and Frédéric Mazenc
Nonlinear Analysis: Hybrid Systems 2 (2) 394 (2008)
DOI: 10.1016/j.nahs.2006.12.005
See this article

Phantom tracking method, homogeneity and rapid stabilization

Jean-Michel Coron
Mathematical Control and Related Fields 3 (3) 303 (2013)
DOI: 10.3934/mcrf.2013.3.303
See this article

Further Constructions of Control-Lyapunov Functions and Stabilizing Feedbacks for Systems Satisfying the Jurdjevic–Quinn Conditions

F. Mazenc and M. Malisoff
IEEE Transactions on Automatic Control 51 (2) 360 (2006)
DOI: 10.1109/TAC.2005.863500
See this article

Global Asymptotic Stabilization of Affine Periodic Systems by Damping Control

Vasili A. Zaitsev
IFAC Proceedings Volumes 46 (12) 166 (2013)
DOI: 10.3182/20130703-3-FR-4039.00009
See this article

Strong Lyapunov Functions for Systems Satisfying the Conditions of La Salle

F. Mazenc and D. Nesic
IEEE Transactions on Automatic Control 49 (6) 1026 (2004)
DOI: 10.1109/TAC.2004.829640
See this article

Strict Lyapunov Function Constructions Under LaSalle Conditions With an Application to Lotka-Volterra Systems

F. Mazenc and M. Malisoff
IEEE Transactions on Automatic Control 55 (4) 841 (2010)
DOI: 10.1109/TAC.2010.2041995
See this article

Constructive stabilization for quadratic input nonlinear systems

Jianghua Zhong, Daizhan Cheng and Xiaoming Hu
Automatica 44 (8) 1996 (2008)
DOI: 10.1016/j.automatica.2008.01.005
See this article

On the construction of the Lyapunov function with sign-definite derivative with the help of auxiliary functions with sign-constant derivatives

Aleksandr O. Ignatyev
Journal of Mathematical Sciences 190 (4) 567 (2013)
DOI: 10.1007/s10958-013-1271-3
See this article

Generalization of the Jurdjevic-Quinn theorem and stabilization of bilinear control systems with periodic coefficients: I

V. A. Zaitsev
Differential Equations 49 (1) 101 (2013)
DOI: 10.1134/S0012266113010102
See this article

A General Formula for Event-Based Stabilization of Nonlinear Systems

Nicolas Marchand, Sylvain Durand and Castellanos
IEEE Transactions on Automatic Control 58 (5) 1332 (2013)
DOI: 10.1109/TAC.2012.2225493
See this article

Homogeneous Feedback Control of Nonlinear Systems Based on Control Lyapunov Functions

Junfeng Zhang, Zhengzhi Han and Jun Huang
Asian Journal of Control 16 (4) 1082 (2014)
DOI: 10.1002/asjc.770
See this article

Construction of control Lyapunov functions for damping stabilization of control affine systems

N. Hudon and M. Guay
Systems & Control Letters 62 (11) 1009 (2013)
DOI: 10.1016/j.sysconle.2013.07.006
See this article

Adaptive Control Design Based on Adaptive Optimization Principles

Elias B. Kosmatopoulos
IEEE Transactions on Automatic Control 53 (11) 2680 (2008)
DOI: 10.1109/TAC.2008.2007162
See this article

Homogeneous High Order Sliding Mode design: A Lyapunov approach

Emmanuel Cruz-Zavala and Jaime A. Moreno
Automatica 80 232 (2017)
DOI: 10.1016/j.automatica.2017.02.039
See this article

On The Stabilization of Homogeneous Perturbed Systems

Hamadi Jerbi, Wajdi Kallel and Thouraya Kharrat
Journal of Dynamical and Control Systems 14 (4) 595 (2008)
DOI: 10.1007/s10883-008-9053-9
See this article

Observers to the aid of “strictification” of Lyapunov functions

Laurent Praly
Systems & Control Letters 134 104510 (2019)
DOI: 10.1016/j.sysconle.2019.104510
See this article

Sparse Jurdjevic–Quinn stabilization of dissipative systems

Marco Caponigro, Benedetto Piccoli, Francesco Rossi and Emmanuel Trélat
Automatica 86 110 (2017)
DOI: 10.1016/j.automatica.2017.08.012
See this article

Global Inverse Optimal Control With Guaranteed Convergence Rates of Input Affine Nonlinear Systems

Nami Nakamura, Hisakazu Nakamura and Hirokazu Nishitani
IEEE Transactions on Automatic Control 56 (2) 358 (2011)
DOI: 10.1109/TAC.2010.2053731
See this article

Homogeneous Stabilization for Input Affine Homogeneous Systems

N. Nakamura, H. Nakamura, Y. Yamashita and H. Nishitani
IEEE Transactions on Automatic Control 54 (9) 2271 (2009)
DOI: 10.1109/TAC.2009.2026865
See this article

A Simplified Design for Strict Lyapunov Functions Under Matrosov Conditions

F. Mazenc, M. Malisoff and O. Bernard
IEEE Transactions on Automatic Control 54 (1) 177 (2009)
DOI: 10.1109/TAC.2008.2008353
See this article

Lyapunov Event-Triggered Stabilization With a Known Convergence Rate

Anton V. Proskurnikov and Manuel Mazo
IEEE Transactions on Automatic Control 65 (2) 507 (2020)
DOI: 10.1109/TAC.2019.2907435
See this article

Periodic Event-Triggered Control strategy for a (3,0) mobile robot network

Miguel G. Villarreal-Cervantes, J. Pedro Sánchez-Santana and J.Fermi Guerrero-Castellanos
ISA Transactions 96 490 (2020)
DOI: 10.1016/j.isatra.2019.07.005
See this article