Exponential stability of discrete-time switched linear positive systems with time-delay

被引：43
|
作者：
Xiang, Mei [1 ]
Xiang, Zhengrong [1 ]
机构：
[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 230卷
基金：
中国国家自然科学基金;
关键词：
Switched systems; Positive systems; Exponential stability; Time-delay; Average dwell time; LYAPUNOV FUNCTIONS; ROBUST STABILITY;
D O I：
10.1016/j.amc.2013.12.118
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper addresses the exponential stability problem for a class of discrete-time switched linear positive systems (DSLPSs) with time-delay. Firstly, an exponential stability criterion for a non-switched delay positive system is proposed. Then, by constructing a suitable co-positive type Lyapunov-Krasovskii functional, an exponential stability criterion for switched delay positive systems is derived via the average dwell time approach, and a stability criterion for switched positive systems with multiple delays is stated and its proof is sketched. Finally, a numerical example is given to illustrate the obtained results. (C) 2013 Elsevier Inc. All rights reserved.
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页码：193 / 199
页数：7
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