ℒ2 gain analysis for switched symmetric systems with time delay under arbitrary switching

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

ℒ₂ 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 journal › Conference article › peer-review

Abstract

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 language	English
Pages (from-to)	III220-III223
Journal	Proceedings - IEEE International Symposium on Circuits and Systems
Volume	3
Publication status	Published - 2003 Jul 14
Externally published	Yes
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

Cite this

@article{f3370cbf89254ef98eca35da51ec8646,

title = "ℒ2 gain analysis for switched symmetric systems with time delay under arbitrary switching",

abstract = "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.",

author = "Guisheng Zhai and Xinkai Chen and Ye Sun and Michel, {Anthony N.}",

year = "2003",

month = jul,

day = "14",

language = "English",

volume = "3",

pages = "III220--III223",

journal = "Proceedings - IEEE International Symposium on Circuits and Systems",

issn = "0271-4310",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "Proceedings of the 2003 IEEE International Symposium on Circuits and Systems ; Conference date: 25-05-2003 Through 28-05-2003",

}

TY - JOUR

T1 - ℒ2 gain analysis for switched symmetric systems with time delay under arbitrary switching

AU - Zhai, Guisheng

AU - Chen, Xinkai

AU - Sun, Ye

AU - Michel, Anthony N.

PY - 2003/7/14

Y1 - 2003/7/14

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0038082526&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0038082526&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:0038082526

SN - 0271-4310

VL - 3

SP - III220-III223

JO - Proceedings - IEEE International Symposium on Circuits and Systems

JF - Proceedings - IEEE International Symposium on Circuits and Systems

T2 - Proceedings of the 2003 IEEE International Symposium on Circuits and Systems

Y2 - 25 May 2003 through 28 May 2003

ER -

ℒ₂ gain analysis for switched symmetric systems with time delay under arbitrary switching

Abstract

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this