Abstract
It has recently been shown that almost global stability of nonlinear switched systems can be characterized using multiple Lyapunov densities. This has been accomplished for switched systems subject to a minimum dwell time or an average dwell time constraint. In this paper, as an extension of the aforementioned results, we provide a sufficient condition on mode-dependent and edge-dependent average dwell time to ensure almost global stability of a nonlinear switched system. The relations between average dwell time, mode-dependent, and edge-dependent average dwell time have been discussed. The obtained results for nonlinear switched systems imply the existing results for linear switched systems.
| Originalsprog | Engelsk |
|---|---|
| Artikelnummer | 101052 |
| Tidsskrift | Nonlinear Analysis: Hybrid Systems |
| Vol/bind | 41 |
| ISSN | 1751-570X |
| DOI | |
| Status | Udgivet - aug. 2021 |
Bibliografisk note
Funding Information:This work has been supported by the Independent Research Fund Denmark in the project DeBaTe.
Publisher Copyright:
© 2021 Elsevier Ltd
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