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		Xiaoheng CHANG,Guosheng TIAN,Xunlin ZHU.[en_title][J].Control Theory and Technology,2010,8(4):464~470.[Copy]

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XiaohengCHANG,GuoshengTIAN,XunlinZHU
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(College of Information Science and Engineering, Northeastern University, Shenyang Liaoning 110004, China; College of Information Science and Engineering, Bohai University, Jinzhou Liaoning 121003, China;Faculty of Electrical and Control Engineering, Liaoning Technical University, Huludao Liaoning 125105, China;School of Computer Science and Communication Engineering, Zhengzhou University of Light Industry, Zhengzhou Henan 450002, China)

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Received:September 01, 2008Revised:April 07, 2009

基金项目:This work was partly supported by the Postdoctoral Science Foundation of China (No.20090451275), the Scientific Research Program for the Education Department of Liaoning Province of China (No.2008017), and the National Nature Science foundation of China (No.61074040).

Delay-dependent stability of discrete-time interconnected systems

Xiaoheng CHANG,Guosheng TIAN,Xunlin ZHU

(College of Information Science and Engineering, Northeastern University, Shenyang Liaoning 110004, China; College of Information Science and Engineering, Bohai University, Jinzhou Liaoning 121003, China;Faculty of Electrical and Control Engineering, Liaoning Technical University, Huludao Liaoning 125105, China;School of Computer Science and Communication Engineering, Zhengzhou University of Light Industry, Zhengzhou Henan 450002, China)

Abstract:

This paper studies the delay-dependent stability problem of discrete-time interconnected systems with timevarying delays. By using vector Lyapunov function approach and linear matrix inequalities (LMIs), new stability conditions are derived. These results proposed in this paper are all at subsystems level. After comparing with the existing results, it is shown that these conditions are less conservative. A numerical example is presented to demonstrate the effectiveness of the results.

Key words: Interconnected systems Delay-dependent stability Discrete-time LMIs