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		Zhendong SUN,Shuzhi S. GE.[en_title][J].Control Theory and Technology,2006,4(1):18~25.[Copy]

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ZhendongSUN,ShuzhiS.GE
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Received:September 30, 2005Revised:December 11, 2005

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On stability of switched linear systems with perturbed switching paths

Zhendong SUN , Shuzhi S. GE

(Center for Control and Optimization, South China University of Technology, Guangzhou Guangdong 510641, China; Department of Electrical and Computer Engineering, National University of Singapore, 117576, Singapore)

Abstract:

This paper addresses the stability issue of switched linear systems with perturbed switching paths. First, by introducing the notions of child-path and parent-path, we are able to define the distance between two switching paths by means of their switching matrices chains. Next, we present the nice properties of the defined distance. Then, a stability criterion is presented for a class of switched linear systems with perturbed switching paths. Finally, an illustrative example is presented to verify the effectiveness of the approach.

Key words: Switched systems Switching path Consistent convergency Switching distance