Abstract
In this paper, we study stability and ℒ2 gain properties for a class of switched systems which are composed of a finite number of linear time-invariant symmetric systems with time delay. We show that when all subsystems are asymptotically stable in the sense of satisfying an LMI, the switched system is asymptotically stable under arbitrary switching. Furthermore, we show that when all subsystems are asymptotically stable and have the ℒ2 gains γ in the sense of satisfying an LMI, the switched system is asymptotically stable and has the same ℒ2 gain γ under arbitrary switching. The key idea for both stability and ℒ2 gain analysis in this paper is to establish a common Lyapunov function for all subsystems in the switched system.
| Original language | English |
|---|---|
| Pages (from-to) | 2682-2687 |
| Number of pages | 6 |
| Journal | Proceedings of the American Control Conference |
| Volume | 3 |
| Publication status | Published - 2003 Nov 6 |
| Externally published | Yes |
| Event | 2003 American Control Conference - Denver, CO, United States Duration: 2003 Jun 4 → 2003 Jun 6 |
ASJC Scopus subject areas
- Electrical and Electronic Engineering