| On exponential stability for systems with state delays |
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| 作者姓名： | CHEN Yun XUE An-ke GE Ming WANG Jian-zhong LU Ren-quan |
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| 作者单位： | CHEN Yun1，2，XUE An-ke3，GE Ming3，WANG Jian-zhong3，LU Ren-quan3 (1Institute of Operational Research and Cybernetics，Hangzhou Dianzi University，Hangzhou 310018，China) (2National Laboratory of Industrial Control Technology，Zhejiang University，Hangzhou 310027，China) (3Institute of Information and Control，Hangzhou Dianzi University，Hangzhou 310018，China) |
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| 基金项目： | Project （Nos. 60434020 and 60604003） supported by the NationalNatural Science Foundation of China |
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| 摘 要： | 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.
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| 关 键 词： | 指数稳定性 不确定时滞系统 积分不等式 松弛矩阵 线性矩阵不等式 |
| 收稿时间： | 13 December 2006 |
| 修稿时间： | 2006-12-132007-03-19 |
On exponential stability for systems with state delays |
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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[J].Journal of Zhejiang University Science,2007,8(8):1296-1303. |
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| Authors: | Chen Yun Xue An-ke Ge Ming Wang Jian-zhong Lu Ren-quan |
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| Institution: | (1) Institute of Operational Research and Cybernetics, Hangzhou Dianzi University, Hangzhou, 310018, China;(2) National Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou, 310027, China;(3) 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. |
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| Keywords: | Exponential stability Uncertain time-delay systems Integral inequality Slack matrix Linear matrix inequality (LMI) |
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