Stability and ℒ2 Gain Analysis for Switched Symmetric Systems with Time Delay

Guisheng Zhai, Ye Sun, Xinkai Chen, Anthony N. Michel

研究成果: Conference article

71 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)2682-2687
ページ数6
ジャーナルProceedings of the American Control Conference
3
出版ステータスPublished - 2003 11 6
外部発表はい
イベント2003 American Control Conference - Denver, CO, United States
継続期間: 2003 6 42003 6 6

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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