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

页码：1543 / 1547

页数：5

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