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		Xuanfang YANG,Wuhua CHEN,Huajing FANG.[en_title][J].Control Theory and Technology,2004,2(4):339~344.[Copy]

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XuanfangYANG,WuhuaCHEN,HuajingFANG
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Received:May 20, 2004Revised:August 02, 2004

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Delay-dependent guaranteed cost control for uncertain systems with both state and input delays

Xuanfang YANG ,Wuhua CHEN, Huajing FANG

(Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan Hubei 430074, China; College of Mathematics and Information Science, GuangxiUniversity, Nanning Guangxi 530004, China)

Abstract:

This paper considers the guaranteed cost control problem for a class of uncertain linear systems with both state and input delays. By representing the time-delay system in the descriptor system form and using a recent result on bounding of cross products of vectors, we obtain new delay-dependent sufficient conditions for the existence of the guaranteed cost controller in terms of linear matrix inequalities. Two examples are presented which show the effectiveness of our approach.

Key words: Guaranteed cost control Time-delay systems Delay-dependent criterion linear matrix inequality