Delay-dependent stability criteria for linear systems with multiple time delays

被引：87
作者：
He, Y. [1 ]
Wu, M.
She, J. -H.
机构：
[1] Cent S Univ, Sch Informat Sci & Engn, Changsha 410083, Peoples R China
[2] Tokyo Univ Technol, Sch Bion, Tokyo 1920982, Japan
[3] Cent S Univ, Sch Mat Sci & Comp Technol, Changsha 410083, Peoples R China
来源：
IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS | 2006年 / 153卷 / 04期
关键词：
D O I：
10.1049/ip-cta:20045279
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The problem of the delay-dependent stability of linear systems with multiple time delays is discussed. A new method is first presented for a system with two time delays, in which free weighting matrices are used to express the relationships among the terms of the Leibniz-Newton formula. Next, this method is used to show the equivalence between a system with two identical time delays and a system with a single time delay. Then, a numerical example verifies that the criterion given is effective and is a significant improvement over the existing ones. Finally, the basic idea is extended to a system with multiple time delays.
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页码：447 / 452
页数：6
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