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

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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

In this paper, we study ℒ 2 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 ℒ 2 gains γ in the sense of satisfying an LMI, the switched system has the same ℒ 2 gain γ under arbitrary switching. The key idea is to establish a common Lyapunov function for all subsystems in the sense of ℒ 2 gain.

Original languageEnglish
Title of host publicationProceedings - IEEE International Symposium on Circuits and Systems
Volume3
Publication statusPublished - 2003
Externally publishedYes
EventProceedings of the 2003 IEEE International Symposium on Circuits and Systems - Bangkok, Thailand
Duration: 2003 May 252003 May 28

Other

OtherProceedings of the 2003 IEEE International Symposium on Circuits and Systems
CountryThailand
CityBangkok
Period03/5/2503/5/28

Fingerprint

Lyapunov functions
Time delay

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering

Cite this

Zhai, G., Chen, X., Sun, Y., & Michel, A. N. (2003). 2 gain analysis for switched symmetric systems with time delay under arbitrary switching In Proceedings - IEEE International Symposium on Circuits and Systems (Vol. 3)

2 gain analysis for switched symmetric systems with time delay under arbitrary switching . / Zhai, Guisheng; Chen, Xinkai; Sun, Ye; Michel, Anthony N.

Proceedings - IEEE International Symposium on Circuits and Systems. Vol. 3 2003.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Zhai, G, Chen, X, Sun, Y & Michel, AN 2003, 2 gain analysis for switched symmetric systems with time delay under arbitrary switching in Proceedings - IEEE International Symposium on Circuits and Systems. vol. 3, Proceedings of the 2003 IEEE International Symposium on Circuits and Systems, Bangkok, Thailand, 03/5/25.
Zhai G, Chen X, Sun Y, Michel AN. 2 gain analysis for switched symmetric systems with time delay under arbitrary switching In Proceedings - IEEE International Symposium on Circuits and Systems. Vol. 3. 2003
Zhai, Guisheng ; Chen, Xinkai ; Sun, Ye ; Michel, Anthony N. / 2 gain analysis for switched symmetric systems with time delay under arbitrary switching Proceedings - IEEE International Symposium on Circuits and Systems. Vol. 3 2003.
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