A New Approach For Stability Analysis Of Time-Dependent Switched Continuous-Time Linear Systems

被引：9
|
作者：
Xiang, Weiming [1 ,2 ]
Xiao, Jian [2 ]
Han, Lu [2 ]
机构：
[1] Southwest Jiaotong Univ, Sch Transportat & Logist, Chengdu 610031, Peoples R China
[2] Southwest Jiaotong Univ, Sch Elect Engn, Chengdu 610031, Peoples R China
来源：
ASIAN JOURNAL OF CONTROL | 2014年 / 16卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Time-dependent switched systems; interval dwell time; quadratic Lyapunov function; system equivalence; mode incidence matrix; LYAPUNOV FUNCTION; HYBRID CONTROL;
D O I：
10.1002/asjc.707
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, a new approach for stability analysis of time-dependent switched linear systems is proposed. System equivalence is the main idea in this new approach, which derives a switched discrete linear parameter-varying system from the switched continuous-time linear switched system with interval dwell time, and the stability properties of the two corresponding systems are proved to be equivalent. Then, by applying a quadratic Lyapunov function approach for the equivalent switched discrete system, the stability of the switched continuous-time linear system can be established without checking any average dwell time condition. Finally the computation complexity is analyzed, and mode incidence matrix is introduced to reduce the computation cost.
引用
收藏
页码：461 / 468
页数：8
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