On robust stability for uncertain time-delay systems: A polyhedral Lyapunov-Krasovskii approach

被引：8
|
作者：
Guan, XP [1 ]
Chen, CL
Shi, P
机构：
[1] Yanshan Univ, Inst Elect Engn, Qinhuangdao 066004, Peoples R China
[2] City Univ Hong Kong, Dept Mfg Engn & Engn Management, Kowloon, Hong Kong, Peoples R China
[3] Univ Glamorgan, Sch Technol, Pontypridd CF37 1DL, M Glam, Wales
来源：
CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2005年 / 24卷 / 01期
关键词：
time-delay system; convex polytopic uncertainty; robust stability; double polyhedral Lyapunov functional;
D O I：
10.1007/s00034-004-3060-1
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
In this paper, the problem of robust stability for a class of time-delay systems is investigated. The uncertainties possessed in the systems are assumed to be time invariant and belong to a convex bounded polytopic domain. For comparison, both single polyhedral and double polyhedral Lyapunov functionals are defined according to the form of a Lyapunov-Krasovskii functional. Robust stability results are obtained by using the double polyhedral Lyapunov functional approach. Also, for a known convex uncertainty subdomain, two equivalent conditions are presented. All established stability conditions are expressed in terms of linear matrix inequalities. Numerical examples are given to illustrate the effectiveness and usefulness of the main theoretic results.
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页码：1 / 18
页数：18
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