On stability for switched linear positive systems

被引：16
|
作者：
Ding, Xiuyong [1 ]
Shu, Lan [1 ]
Wang, Zhaohao [1 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2011年 / 53卷 / 5-6期
关键词：
Common linear copositive Lyapunov functions; Positive linear systems; Switched linear systems; Stability; LYAPUNOV FUNCTIONS;
D O I：
10.1016/j.mcm.2010.11.062
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
This paper addresses the stability properties of switched linear positive systems in continuous-time as well as in discrete-time. In the discrete-time case, some sufficient and necessary conditions for asymptotic stability are derived for pairs of second order systems. Similar conditions are also established for a finite number of second order systems. Furthermore, for higher order systems, some results on stability are provided in a similar manner. In particular, in this case, a common linear Lyapunov function guaranteeing the stability of the switched positive systems can be easily located by means of geometry properties. In the continuous-time case, a finite number of second order systems are considered. Some equivalent conditions for stability of such systems are developed. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1044 / 1055
页数：12
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