2 gain analysis for switched symmetric systems with time delay under arbitrary switching

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

Research output: Contribution to journalConference article

1 Citation (Scopus)


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.

Original languageEnglish
Pages (from-to)III220-III223
JournalProceedings - IEEE International Symposium on Circuits and Systems
Publication statusPublished - 2003 Jul 14
EventProceedings of the 2003 IEEE International Symposium on Circuits and Systems - Bangkok, Thailand
Duration: 2003 May 252003 May 28


ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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