In this paper, we study 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 have the ℒ2 gains γ in the sense of satisfying an LMI, the switched system has the same ℒ2 gain γ under arbitrary switching. The key idea is to establish a common Lyapunov function for all subsystems in the sense of ℒ2 gain.
|Journal||Proceedings - IEEE International Symposium on Circuits and Systems|
|Publication status||Published - 2003 Jul 14|
|Event||Proceedings of the 2003 IEEE International Symposium on Circuits and Systems - Bangkok, Thailand|
Duration: 2003 May 25 → 2003 May 28
ASJC Scopus subject areas
- Electrical and Electronic Engineering