A LESS CONSERVATIVE STABILITY CONDITION OF TIME-DELAY SYSTEMS WITH POLYTOPIC UNCERTAINTY

被引：4
|
作者：
Wu, Ai-Guo [1 ,2 ]
Lin, Qingqiang [1 ,2 ]
Fu, Yan-Ming [3 ]
Duan, Guang-Ren [3 ]
机构：
[1] Harbin Inst Technol, Shenzhen Grad Sch, Shenzhen 518055, Peoples R China
[2] Shenzhen Key Lab Wind Power & Smart Grid, Shenzhen 518055, Peoples R China
[3] Harbin Inst Technol, Ctr Control Theory & Guidance Technol, Harbin 150001, Peoples R China
来源：
ASIAN JOURNAL OF CONTROL | 2013年 / 15卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Time-delay systems; stability; conservativeness; polytopic uncertainty; DEPENDENT STABILITY; ROBUST STABILITY; CRITERIA;
D O I：
10.1002/asjc.693
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper considers the problem of stability analysis of time-delay systems with time-varying delay. By introducing a small scalar, the products between system matrices and Lyapunov matrices are decoupled with the help of the introduced additional matrices. Therefore, when the time-delay systems with polytopic uncertainties are investigated, the vertex-dependent Lyapunov function can be allowed, and thus the conservativeness can be reduced. Numerical examples are given to verify the effectiveness of the proposed results.
引用
收藏
页码：1543 / 1547
页数：5
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