A stability criterion for singular systems with two additive time-varying delay components

被引：9

作者：

Jiao J.-M. ^{[1
]}

机构：

[1] Department of Mathematics, Baoji University of Arts and Sciences, Baoji

来源：

Jiao, J.-M. (jmjiao@126.com) | 1600年 / Chinese Academy of Sciences卷 / 10期

基金：

中国国家自然科学基金;

关键词：

additive delay components; linear matrix inequality (LMI); Lyapunov-Krasovskii functional; Singular systems; stability;

D O I：

10.1007/s11633-013-0694-0

中图分类号：

学科分类号：

摘要：

The problem of stability for singular systems with two additive time-varying delay components is investigated. By constructing a simple type of Lyapunov-Krasovskii functional and utilizing free matrix variables in approximating certain integral quadratic terms, a delay-dependent stability criterion is established for the considered systems to be regular, impulse free, and stable in terms of linear matrix inequalities (LMIs). Based on this criterion, some new stability conditions for singular systems with a single delay in a range and regular systems with two additive time-varying delay components are proposed. These developed results have advantages over some previous ones in that they have fewer matrix variables yet less conservatism. Finally, two numerical examples are employed to illustrate the effectiveness of the obtained theoretical results. © 2013 Institute of Automation, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg.

引用

页码：39 / 45

页数：6

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