ℒ2 gain analysis of switched symmetric systems with time delays

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

ℒ₂ gain analysis of switched symmetric systems with time delays

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

研究成果: Article › 査読

抄録

In this paper, we study ℒ₂ gain property for a class of switched systems which are composed of a finite number of linear time-invariant (LTI) symmetric subsystems with time delays in system states. We show that when all subsystems have ℒ₂ gain 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）	219-232
ページ数	14
ジャーナル	Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
巻	11
号	2-3
出版ステータス	Published - 2004 4月 1
外部発表	はい

ASJC Scopus subject areas

分析
離散数学と組合せ数学
応用数学

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N2 - In this paper, we study ℒ2 gain property for a class of switched systems which are composed of a finite number of linear time-invariant (LTI) symmetric subsystems with time delays in system states. We show that when all subsystems have ℒ2 gain 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 property for a class of switched systems which are composed of a finite number of linear time-invariant (LTI) symmetric subsystems with time delays in system states. We show that when all subsystems have ℒ2 gain 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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KW - Common Lyapunov function

KW - Linear matrix inequality (LMI)

KW - Switched symmetric system

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KW - ℒ gain

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ℒ2 gain analysis of switched symmetric systems with time delays

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ASJC Scopus subject areas

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ℒ₂ gain analysis of switched symmetric systems with time delays