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		Renxin ZHONG,Zhi YANG,Guoli WANG.[en_title][J].Control Theory and Technology,2006,4(2):181~186.[Copy]

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RenxinZHONG,ZhiYANG,GuoliWANG
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Received:December 30, 2004Revised:May 27, 2005

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On delay-dependent robust stability of neutral systems

Renxin ZHONG, Zhi YANG, Guoli WANG

(Department of Automation and Computer-Aided Engineering, The Chinese University of Hong Kong, Shatin, NT, Hong Kong, China; Department of Electronics and Communication Engineering, Sun Yat-Sen University, Guangzhou Guangdong 510275, China)

Abstract:

The delay-dependent robust stability of uncertain linear neutral systems with delays is investigated. Both discrete-delay-dependent/neutral-delay-independent and neutral-/discrete- delay-dependent stability criteria will be developed. The proposed stability criteria are formulated in the form of linear matrix inequalities and it is easy to check the robust stability of the considered systems. By introducing certain Lyapunov-Krasovskii functional the mathematical development of our result avoids model transformation and bounding for cross terms, which lead to conservatism. Finally, numerical example is given to indicate the improvement over some existing results.

Key words: Neutral system Delay-dependent criteria Robust stability Time-varying parameter uncertainty Linear matrix inequality