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		Xiaojun YANG,Zhengxin WENG,Zuohua TIAN.[en_title][J].Control Theory and Technology,2004,2(4):411~415.[Copy]

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XiaojunYANG,ZhengxinWENG,ZuohuaTIAN
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Received:February 16, 2004Revised:September 21, 2004

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On necessity proof of strict bounded real lemma for generalized linear systems with finite discrete jumps

Xiaojun YANG, Zhengxin WENG, Zuohua TIAN

(Department of Automation, Shanghai Jiao Tong University, Shanghai 200030, China)

Abstract:

Some preliminary results on strict bounded real lemma for time-varying continuous linear systems are proposed, where uncertainty in initial conditions, terminal cost and extreme of the cost function are dealt with explicitly. Based on these results,a new recursive approach is proposed in the necessity proof of strict bounded real lemma for generalized linear system with finite discrete jumps.

Key words: Bounded real lemma Linear systems with finite discrete jumps Riccati equations