On common linear copositive Lyapunov functions for pairs of stable positive linear systems

被引：24
|
作者：
Chen, Zheng [1 ]
Gao, Yan [1 ]
机构：
[1] Shanghai Univ Sci & Technol, Sch Management, Shanghai 200093, Peoples R China
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2009年 / 3卷 / 04期
基金：
美国国家科学基金会;
关键词：
Positive linear systems; Switched systems; Common linear copositive Lyapunov functions;
D O I：
10.1016/j.nahs.2009.03.004
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 study the common linear copositive Lyapunov functions of positive linear systems. Firstly, we present a theorem on pairs of second order positive linear systems, and give another proof of this theorem by means of properties of geometry. Based on the process of the proof, we extended the results to a finite number of second order positive linear systems. Then we extend this result to third order systems. Finally, for higher order systems, we give some results on common linear copositive Lyapunov functions. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：467 / 474
页数：8
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