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Research Article

Stability analysis for time-varying nonlinear systems

Pages 1497-1506 | Received 12 Feb 2020, Accepted 28 Nov 2020, Published online: 28 Dec 2020
 

Abstract

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.

2000 Mathematics Subject Classifications:

Acknowledgements

The authors wish to thank the reviewers for their valuable and careful comments.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Correction Statement

This article has been republished with minor changes. These changes do not impact the academic content of the article.

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