Stability of linear switched differential algebraic equations with stable and unstable subsystems

被引：11

作者：

Mu, Xiaowu ^{[1
]}

Wei, Jumei ^{[1
]}

Ma, Rui ^{[2
]}

机构：

[1] Zhengzhou Univ, Dept Math, Zhengzhou, Peoples R China

[2] Zhengzhou Univ, Principals Off, Zhengzhou, Peoples R China

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2013年 / 44卷 / 10期

关键词：

linear switched DAEs; average dwell time; asymptotic stability; SYSTEMS; STABILIZATION;

D O I：

10.1080/00207721.2012.670299

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This article studies linear switched differential algebraic equations (DAEs), which contains stable and unstable subsystems. We prove sufficient conditions for stability of switched DAEs based on the existence of suitable Lyapunov functions. The result shows that stability is preserved under switching with an average dwell time and an additional condition involving consistency projectors holds. Furthermore, we also give an example to illustrate the result.

引用

页码：1879 / 1884

页数：6

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