Analysis of switched normal discrete-time systems

Guisheng Zhai, Hai Lin, X. U. Xuping, Joe Imae, Tomoaki Kobayashi

研究成果: Conference article査読


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 to establish a common quadratic Lyapunov function for all subsystems in the sense of unity ℒ2 gain.

ジャーナルProceedings of the American Control Conference
出版ステータスPublished - 2005
イベント2005 American Control Conference, ACC - Portland, OR, United States
継続期間: 2005 6月 82005 6月 10

ASJC Scopus subject areas

  • 電子工学および電気工学


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