On linear copositive Lyapunov functions and the stability of switched positive linear systems

被引：355

作者：

Mason, O. ^{[1
]}

Shorten, R. ^{[1
]}

机构：

[1] NUI Maynooth, Hamilton Inst, Maynooth, Kildare, Ireland

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2007年 / 52卷 / 07期

基金：

爱尔兰科学基金会;

关键词：

copositive Lyapunov functions; positive linear systems; switched linear systems;

D O I：

10.1109/TAC.2007.900857

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We consider the problem of common linear copositive Lyapunov function existence for positive switched linear systems. In particular, we present a necessary and sufficient condition for the existence of such a function for switched systems with two constituent linear time-invariant systems. Several applications of this result are also given.

引用

页码：1346 / 1349

页数：4

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