Stability analysis for time-varying nonlinear systems

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.

Keywords:

• Lyapunov theory
• perturbed systems and practical stability

2000 Mathematics Subject Classifications:

• 34D20
• 37B25
• 37B55

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.