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CLC number: TP273
On-line Access: 2024-08-27
Received: 2023-10-17
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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 A, 2007, 8(8): 1296-1303.
@article{title="On exponential stability for systems with state delays",
author="CHEN Yun, XUE An-ke, GE Ming, WANG Jian-zhong, LU Ren-quan",
journal="Journal of Zhejiang University Science A",
volume="8",
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pages="1296-1303",
year="2007",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2007.A1296"
}
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T1 - On exponential stability for systems with state delays
A1 - CHEN Yun
A1 - XUE An-ke
A1 - GE Ming
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A1 - LU Ren-quan
J0 - Journal of Zhejiang University Science A
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SP - 1296
EP - 1303
%@ 1673-565X
Y1 - 2007
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2007.A1296
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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