Delay-dependent robust stability of linear systems with non-commensurate time varying delays

被引：15
|
作者：
Tissir, El Houssaine [1 ]
机构：
[1] LESSI, Fac Sci, Dept Phys, Fes, Morocco
来源：
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2007年 / 38卷 / 09期
关键词：
time varying delays; robust stability; delay-dependent conditions; polytopic type uncertainties;
D O I：
10.1080/00207720701597415
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this article we investigate the robust stability of uncertain systems with non- commensurate time varying delays. Two types of perturbations are considered. First, we consider time varying and unknown but norm bounded uncertainties. Next systems with polytopic- type uncertainties are studied. Based on Finsler's lemma we propose a new method for achieving less restrictive sufficient conditions for delay- dependent robust stability. The results are presented in terms of linear matrix inequalities. Three examples are given for illustration and comparison with previous results.
引用
收藏
页码：749 / 757
页数：9
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