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
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
收藏
页码:1346 / 1349
页数:4
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