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

被引:200
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
基金
英国工程与自然科学研究理事会; 国家教育部博士点专项基金资助; 中国国家自然科学基金;
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
收藏
页码:578 / 589
页数:12
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