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

研究成果: Conference article › 査読

抄録

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.

本文言語	English
ページ（範囲）	III220-III223
ジャーナル	Proceedings - IEEE International Symposium on Circuits and Systems
巻	3
出版ステータス	Published - 2003 7月 14
外部発表	はい
イベント	Proceedings of the 2003 IEEE International Symposium on Circuits and Systems - Bangkok, Thailand 継続期間: 2003 5月 25 → 2003 5月 28

ASJC Scopus subject areas

電子工学および電気工学

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引用スタイル

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AU - Zhai, Guisheng

AU - Chen, Xinkai

AU - Sun, Ye

AU - Michel, Anthony N.

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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.

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M3 - Conference article

AN - SCOPUS:0038082526

SN - 0271-4310

VL - 3

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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

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ASJC Scopus subject areas

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引用スタイル

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