Exponential stability of impulsive positive systems with mixed time-varying delays

被引：64

作者：

Wang, Yan-Wu ^{[1
]}

Zhang, Ji-Shi ^{[1
,2
]}

Liu, Meng ^{[1
]}

机构：

[1] Huazhong Univ Sci & Technol, Sch Automat, Wuhan 430074, Peoples R China

[2] Henan Univ, Sch Software, Kaifeng 475004, Peoples R China

来源：

IET CONTROL THEORY AND APPLICATIONS | 2014年 / 8卷 / 15期

基金：

中国国家自然科学基金;

关键词：

asymptotic stability; time-varying systems; Lyapunov methods; stability criteria; linear programming; delay systems; mixed time-varying delays; delayed impulsive positive system model; necessary and sufficient condition; copositive Lyapunov-Krasovskii functional; average impulsive interval method; sufficient criterion; global exponential stability; linear programming problem; LINEAR-SYSTEMS; SWITCHED SYSTEMS; L-1-GAIN;

D O I：

10.1049/iet-cta.2014.0231

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 study addresses the problem of exponential stability for a class of impulsive positive systems with mixed time-varying delays. A delayed impulsive positive system model is introduced for the first time and a necessary and sufficient condition guaranteeing the positivity of this kind of system is proposed. By using a copositive Lyapunov-Krasovskii functional and the average impulsive interval method, a sufficient criterion of global exponential stability for delayed impulsive positive systems is established in terms of linear programming problems. A numerical example is given to show the effectiveness of the proposed method.

引用

页码：1537 / 1542

页数：6

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