Analysis of switched normal discrete-time systems

Guisheng Zhai, Hai Lin, Xuping Xu, Joe Imae, Tomoaki Kobayashi

研究成果: Article査読

8 被引用数 (Scopus)

抄録

In this paper, we study stability and L2 gain properties for a class of switched systems which are composed of normal discrete-time subsystems. When all subsystems are Schur stable, we show that a common quadratic Lyapunov function exists for all subsystems and that the switched normal system is exponentially stable under arbitrary switching. For L2 gain analysis, we introduce an expanded matrix including each subsystem's coefficient matrices. Then, we show that if the expanded matrix is normal and Schur stable so that each subsystem is Schur stable and has unity L2 gain, then the switched normal system also has unity L2 gain under arbitrary switching. The key point is establishing a common quadratic Lyapunov function for all subsystems in the sense of unity L2 gain.

本文言語English
ページ(範囲)1788-1799
ページ数12
ジャーナルNonlinear Analysis, Theory, Methods and Applications
66
8
DOI
出版ステータスPublished - 2007 4 15
外部発表はい

ASJC Scopus subject areas

  • 分析
  • 応用数学

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