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

页码：1044 / 1055

页数：12

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