2 gain analysis of switched symmetric systems with time delays

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

研究成果: Article

2 引用 (Scopus)

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.

元の言語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
11
発行部数2-3
出版物ステータスPublished - 2004 4
外部発表Yes

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Lyapunov functions
Time delay

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics
  • Discrete Mathematics and Combinatorics

これを引用

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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)

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KW - Time delay

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