On linear co-positive Lyapunov functions for sets of linear positive systems

被引：202
作者：
Knorn, Florian [1 ]
Mason, Oliver [1 ]
Shorten, Robert [1 ]
机构：
[1] Natl Univ Ireland Maynooth, Hamilton Inst, Maynooth, Kildare, Ireland
来源：
AUTOMATICA | 2009年 / 45卷 / 08期
关键词：
Positive systems; Switched systems; Linear Lyapunov functions; Stability theory; Time-invariant; POWER-CONTROL; STABILITY; MATRIX;
D O I：
10.1016/j.automatica.2009.04.013
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper we derive necessary and sufficient conditions for the existence of a common linear co-positive Lyapunov function for a finite set of linear positive systems. Both the state dependent and arbitrary switching cases are considered. Our results reveal an interesting characterisation of "linear" stability for the arbitrary switching case; namely, the existence of such a linear Lyapunov function can be related to the requirement that a number of extreme systems are Metzler and Hurwitz stable. Examples are given to illustrate the implications of our results. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1943 / 1947
页数：5
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