On stability of switched linear systems with perturbed switching paths

被引：0

作者：

Zhendong SUN

Department of Electrical and Computer Engineering

机构：

来源：

Journal of Control Theory and Applications | 2006年 / 01期

基金：

中国国家自然科学基金;

关键词：

Switched systems; Switching path; Consistent convergency; Switching distance;

D O I：

暂无

中图分类号：

F224 [经济数学方法];

学科分类号：

0701 ; 070104 ;

摘要：

This paper addresses the stability issue of switched linear systems with perturbed switching paths. First, by introducing the notions of child-path and parent-path, we are able to define the distance between two switching paths by means of their switching matrices chains. Next, we present the nice properties of the defined distance. Then, a stability criterion is presented for a class of switched linear systems with perturbed switching paths. Finally, an illustrative example is presented to verify the effectiveness of the approach.

引用

页码：18 / 25

页数：8

共 4 条

[1] A robust stabilizing law for switched linear systems .2 Z. Sun. Int. J. of Control . 2004
[2] Stabilizability and insensitivity of switched linear systems .2 Z. Sun. IEEE Trans. on Automatic Control . 2004
[3] A switched single server system of order n with all its trajectories converging to (n-1)! limit circles .2 A. V. Savkin,A. S. Matveev. Automatica . 2001
[4] Switched controller synthesis for the quadratic stabilization of a pair of unstable linear systems .2 M. A. Wicks,P. Peleties,R. A. DeCarlo. European J. of Control . 1998

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