Stability of a class of switched positive linear time-delay systems

被引：201

作者：

Zhao, Xudong ^{[1
]}

Zhang, Lixian ^{[2
]}

Shi, Peng ^{[3
,4
]}

机构：

[1] China Univ Petr, Coll Informat & Control Engn, Qingdao 266555, Peoples R China

[2] Harbin Inst Technol, Space Control & Inertial Technol Res Ctr, Harbin 150001, Peoples R China

[3] Univ Glamorgan, Dept Comp & Math Sci, Pontypridd CF37 1DL, M Glam, Wales

[4] Victoria Univ, Sch Sci & Engn, Melbourne, Vic 8001, Australia

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2013年 / 23卷 / 05期

基金：

中国国家自然科学基金; 国家教育部博士点专项基金资助; 英国工程与自然科学研究理事会;

关键词：

multiple co-positive LyapunovKrasovskii functional; stability; switched positive linear systems; time delay; H-INFINITY CONTROL; LYAPUNOV FUNCTIONS; ROBUST STABILITY; STABILIZABILITY; STABILIZATION; UNCERTAINTY; FEEDBACK;

D O I：

10.1002/rnc.2777

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 paper addresses the problem of stability for a class of switched positive linear time-delay systems. As first attempt, the LyapunovKrasovskii functional is extended to the multiple co-positive type LyapunovKrasovskii functional for the stability analysis of the switched positive linear systems with constant time delay. A sufficient stability criterion is proposed for the underlying system under average dwell time switching. Subsequently, the stability result for system under arbitrary switching is presented by reducing multiple co-positive type LyapunovKrasovskii functional to the common co-positive type LyapunovKrasovskii functional. A numerical example is given to show the potential of the proposed techniques. Copyright (c) 2012 John Wiley & Sons, Ltd.

引用

页码：578 / 589

页数：12

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