On the quadratic stability of switched linear systems associated with symmetric transfer function matrices

被引：12
|
作者：
Kouhi, Yashar [1 ]
Bajcinca, Naim [1 ,2 ]
Raisch, Joerg [1 ,2 ]
Shorten, Robert [3 ]
机构：
[1] Tech Univ Berlin, Control Syst Grp, D-10587 Berlin, Germany
[2] Max Planck Inst Dynam Complex Tech Syst, D-39106 Magdeburg, Germany
[3] IBM Res Ireland, Dublin, Ireland
来源：
AUTOMATICA | 2014年 / 50卷 / 11期
关键词：
Switched linear systems; Strictly positive real systems; Symmetric transfer function matrices;
D O I：
10.1016/j.automatica.2014.09.007
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 give necessary and sufficient conditions for weak and strong quadratic stability of a class of switched linear systems consisting of two subsystems, associated with symmetric transfer function matrices. These conditions can simply be tested by checking the eigenvalues of the product of two subsystem matrices. This result is an extension of the result by Shorten and Narendra for strong quadratic stability, and the result by Shorten etal. on weak quadratic stability for switched linear systems. Examples are given to illustrate the usefulness of our results. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2872 / 2879
页数：8
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