Growth rate of switched homogeneous systems

被引：8
作者：
Tuna, S. Emre [1 ]
机构：
[1] Middle E Tech Univ, Dept Elect & Elect Engn, TR-06531 Ankara, Turkey
来源：
AUTOMATICA | 2008年 / 44卷 / 11期
关键词：
Homogeneity; Switched system; Growth rate; Joint spectral radius; Approximation algorithm;
D O I：
10.1016/j.automatica.2008.03.017
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 discrete-time homogeneous systems under arbitrary switching and study their growth rate, the analogue of joint spectral radius for switched linear systems. We show that a system is asymptotically stable if and only if its growth rate is less than unity. We also provide an approximation algorithm to compute growth rate with arbitrary accuracy. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2857 / 2862
页数：6
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