Stability analysis of discrete-time switched linear systems with unstable subsystems

被引：29
|
作者：
Yu, Qiang [1 ]
Zhao, Xudong [2 ]
机构：
[1] Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Peoples R China
[2] Bohai Univ, Coll Engn, Jinzhou 121013, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2016年 / 273卷
基金：
中国国家自然科学基金;
关键词：
Switched systems; Unstable subsystems; Discrete-time; Exponential stability; Average dwell time; POSITIVE SYSTEMS; STABILIZATION;
D O I：
10.1016/j.amc.2015.10.039
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The problem of stability for discrete-time switched linear systems (DSLSs) with unstable subsystems is investigated. Unlike most existing results that require each switching mode of the system to be asymptotically stable, this paper considers the case that each subsystem may be unstable. First, under certain hypotheses, a necessary condition of stability for DSLSs is obtained. Second, using the average dwell time (ADT) strategy, some sufficient conditions of exponential stability for switched linear systems are derived under two assumptions. Finally, two examples are presented to show the effectiveness of the proposed approaches. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：718 / 725
页数：8
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