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		Peng YE,Haitao FANG.[en_title][J].Control Theory and Technology,2006,4(1):44~52.[Copy]

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PengYE,HaitaoFANG
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Received:September 30, 2005Revised:December 15, 2005

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On the stabilization of switched linear stochastic systems with unobservable switching laws

Peng YE, Haitao FANG

(Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China)

Abstract:

This paper is concerned with the stabilization problem of switched linear stochastic systems with unob- servable switching laws. In this paper the system switches among a finite family of linear stochastic systems. Since there are noise perturbations, the switching laws can not be identified in any finite time horizon. We prove that if each individual subsystem is controllable and the switching duration uniformly has a strict positive lower bound, then the system can be stabilized by using a controller that uses online state estimation.

Key words: Switched systems Stability Stabilization Estimation