Stability analysis for time-varying nonlinear systems

This paper is concerned with practical asymptotic and exponential stability analysis of time-varying nonlinear systems. With the help of the new notion of practical stable functions, some differential Lyapunov inequalities based necessary and sufficient conditions are derived for testing global unif...

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Bibliographic Details
Published in:International journal of control 2022-06, Vol.95 (6), p.1497-1506
Main Author: Hadj Taieb, Nizar
Format: Article
Language:English
Subjects:
Asymptotic properties
Lyapunov theory
Nonlinear systems
perturbed systems and practical stability
Stability analysis
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Summary:This paper is concerned with practical asymptotic and exponential stability analysis of time-varying nonlinear systems. With the help of the new notion of practical stable functions, some differential Lyapunov inequalities based necessary and sufficient conditions are derived for testing global uniform practical asymptotic stability and practical exponential stability of general time-varying nonlinear systems. Therefore, we generalised some works which are already made in the literature. Furthermore, some illustrative examples are presented.
ISSN:0020-7179
1366-5820
DOI:10.1080/00207179.2020.1861332