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.
| Original language | English |
|---|---|
| Article number | 101052 |
| Journal | Nonlinear Analysis: Hybrid Systems |
| Volume | 41 |
| ISSN | 1751-570X |
| DOIs | |
| Publication status | Published - Aug 2021 |
Bibliographical note
Publisher Copyright:© 2021 Elsevier Ltd
Keywords
- Almost global stability
- Average dwell time
- Edge-dependent average dwell time
- Mode-dependent average dwell time
- Multiple Lyapunov densities