Asymptotic and exponential stability of uncertain system with interval delay

被引：39
作者：
Guo, Liangdong [1 ]
Gu, Hong [2 ]
Xing, Jun [1 ]
He, Xiqin [1 ]
机构：
[1] Liaoning Univ Sci & Technol, Sch Sci, Anshan 114051, Peoples R China
[2] Dalian Univ Technol, Fac Elect Informat & Elect Engn, Dalian 116024, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 19期
基金：
中国国家自然科学基金;
关键词：
Time-delay system; Exponential stability; Linear matrix inequality; Integral equality; Delay-range-dependence; TIME-VARYING DELAYS; H-INFINITY CONTROL; DEPENDENT STABILITY; ROBUST STABILITY; LINEAR-SYSTEMS; DYNAMIC-SYSTEMS; STABILIZATION; CRITERIA; STATE;
D O I：
10.1016/j.amc.2012.03.074
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper considers the problem of asymptotic and exponential stability analysis of the continuous system with interval time-varying delay and uncertainties. By constructing a new Lyapunov-Krasovskii functional, several delay-range-dependent conditions are derived in terms of the linear matrix inequalities (LMIs). Two novel integral equalities are employed to overcome the disadvantages of the methods in existing references. The merits of the proposed criteria lie in the exponential stability being a free value and the less conservativeness. Finally, some numerical examples are included to illustrate the effectiveness and the improvement of the proposed method. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：9997 / 10006
页数：10
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