ℒ/sub 2/ gain analysis for switched symmetric systems with time delay under arbitrary switching

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

doi:10.1109/iscas.2003.1204995

ℒ/sub 2/ gain analysis for switched symmetric systems with time delay under arbitrary switching

Guisheng Zhai Guisheng Zhai, A.N Michel + Show 2 more

https://doi.org/10.1109/iscas.2003.1204995

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Publication Date: May 25, 2003

Citations: 2

Affiliation: Wakayama University, Kindai University

#Spl Lscr #Spl Gamma + Show 8 more

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Abstract

In this paper, we study /spl Lscr//sub 2/ 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 /spl Lscr//sub 2/ gains /spl gamma/ in the sense of satisfying an LMI, the switched system has the same /spl Lscr//sub 2/ gain /spl gamma/ under arbitrary switching. The key idea is to establish a common Lyapunov function for all subsystems in the sense of /spl Lscr//sub 2/ gain.

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