New criterion for asymptotic stability of time-varying dynamical systems

Taoufik Ghrissi; Mohamed Ali Hammami; Mekki Hammi; Mohamed Mabrouk

Kybernetika (2017)

  • Volume: 53, Issue: 2, page 331-353
  • ISSN: 0023-5954

Abstract

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In this paper, we establish some new sufficient conditions for uniform global asymptotic stability for certain classes of nonlinear systems. Lyapunov approach is applied to study exponential stability and stabilization of time-varying systems. Sufficient conditions are obtained based on new nonlinear differential inequalities. Moreover, some examples are treated and an application to control systems is given.

How to cite

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Ghrissi, Taoufik, et al. "New criterion for asymptotic stability of time-varying dynamical systems." Kybernetika 53.2 (2017): 331-353. <http://eudml.org/doc/288179>.

@article{Ghrissi2017,
abstract = {In this paper, we establish some new sufficient conditions for uniform global asymptotic stability for certain classes of nonlinear systems. Lyapunov approach is applied to study exponential stability and stabilization of time-varying systems. Sufficient conditions are obtained based on new nonlinear differential inequalities. Moreover, some examples are treated and an application to control systems is given.},
author = {Ghrissi, Taoufik, Hammami, Mohamed Ali, Hammi, Mekki, Mabrouk, Mohamed},
journal = {Kybernetika},
keywords = {nonlinear time-varying systems; asymptotic stability; stabilization},
language = {eng},
number = {2},
pages = {331-353},
publisher = {Institute of Information Theory and Automation AS CR},
title = {New criterion for asymptotic stability of time-varying dynamical systems},
url = {http://eudml.org/doc/288179},
volume = {53},
year = {2017},
}

TY - JOUR
AU - Ghrissi, Taoufik
AU - Hammami, Mohamed Ali
AU - Hammi, Mekki
AU - Mabrouk, Mohamed
TI - New criterion for asymptotic stability of time-varying dynamical systems
JO - Kybernetika
PY - 2017
PB - Institute of Information Theory and Automation AS CR
VL - 53
IS - 2
SP - 331
EP - 353
AB - In this paper, we establish some new sufficient conditions for uniform global asymptotic stability for certain classes of nonlinear systems. Lyapunov approach is applied to study exponential stability and stabilization of time-varying systems. Sufficient conditions are obtained based on new nonlinear differential inequalities. Moreover, some examples are treated and an application to control systems is given.
LA - eng
KW - nonlinear time-varying systems; asymptotic stability; stabilization
UR - http://eudml.org/doc/288179
ER -

References

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