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

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

Research output: Contribution to journalConference article

71 Citations (Scopus)

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 languageEnglish
Pages (from-to)2682-2687
Number of pages6
JournalProceedings of the American Control Conference
Volume3
Publication statusPublished - 2003 Nov 6
Event2003 American Control Conference - Denver, CO, United States
Duration: 2003 Jun 42003 Jun 6

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Fingerprint Dive into the research topics of 'Stability and ℒ<sub>2</sub> Gain Analysis for Switched Symmetric Systems with Time Delay'. Together they form a unique fingerprint.

  • Cite this