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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2007, Vol. 8 Issue (8): 1296-1303    DOI: 10.1631/jzus.2007.A1296
Information Science     
On exponential stability for systems with state delays
CHEN Yun, XUE An-ke, GE Ming, WANG Jian-zhong, LU Ren-quan
Institute of Operational Research and Cybernetics, Hangzhou Dianzi University, Hangzhou 310018, China; National Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou 310027, China; Institute of Information and Control, Hangzhou Dianzi University, Hangzhou 310018, China
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Abstract  This paper considers the issue of delay-dependent exponential stability for time-delay systems. Both nominal and uncertain systems are investigated. New sufficient conditions in terms of linear matrix inequalities (LMIs) are obtained. These criteria are simple owing to the use of an integral inequality. The model transformation approaches, bounding techniques for cross terms and slack matrices are all avoided in the derivation. Rigorous proof and numerical examples showed that the proposed criteria and those based on introducing slack matrices are equivalent.

Key words： Exponential stability      Uncertain time-delay systems      Integral inequality      Slack matrix      Linear matrix inequality (LMI)     
Received: 13 December 2006     
CLC:  TP273  
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CHEN Yun
XUE An-ke
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CHEN Yun, XUE An-ke, GE Ming, WANG Jian-zhong, LU Ren-quan. On exponential stability for systems with state delays. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2007, 8(8): 1296-1303.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2007.A1296     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2007/V8/I8/1296

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