A UNIFIED APPROACH TO STABILITY ANALYSIS OF SWITCHED LINEAR DESCRIPTOR SYSTEMS UNDER ARBITRARY SWITCHING

被引：30

作者：

Zhai, Guisheng ^{[1
]}

Xu, Xuping ^{[2
]}

机构：

[1] Shibaura Inst Technol, Dept Math Sci, Saitama 3378570, Japan

[2] Calif Baptist Univ, Dept Elect & Comp Engn, Riverside, CA 92504 USA

来源：

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE | 2010年 / 20卷 / 02期

关键词：

switched linear descriptor systems; stability; arbitrary switching; linear matrix inequalities (LMIs); common quadratic Lyapunov functions; TIME; STABILIZATION; DESIGN;

D O I：

10.2478/v10006-010-0018-2

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We establish a unified approach to stability analysis for switched linear descriptor systems under arbitrary switching in both continuous-time and discrete-time domains. The approach is based on common quadratic Lyapunov functions incorporated with linear matrix inequalities (LMIs). We show that if there is a common quadratic Lyapunov function for the stability of all subsystems, then the switched system is stable under arbitrary switching. The analysis results are natural extensions of the existing results for switched linear state space systems.

引用

页码：249 / 259

页数：11

共 27 条

[1]

[Anonymous], 2005, COMM CONT E

[2]

Boyd S., 1994, LINEAR MATRIX INEQUA

[3] Multiple Lyapunov functions and other analysis tools for switched and hybrid systems [J].

Branicky, MS .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (04) :475-482

[4] DESCRIPTOR VARIABLE SYSTEMS AND OPTIMAL STATE-REGULATION [J].

COBB, D .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1983, 28 (05) :601-611

[5] Perspectives and results on the stability and stabilizability of hybrid systems [J].

DeCarlo, RA ;

Branicky, MS ;

Pettersson, S ;

Lennartson, B .

PROCEEDINGS OF THE IEEE, 2000, 88 (07) :1069-1082

[6] Switching between stabilizing controllers [J].

Hespanha, JP ;

Morse, AS .

AUTOMATICA, 2002, 38 (11) :1905-1917

[7] Hybrid static output feedback stabilization of second-order linear time-invariant systems [J].

Hu, B ;

Zhai, GS ;

Michel, AN .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2002, 351 :475-485

[8]

Ikeda M, 2000, IEEE DECIS CONTR P, P601, DOI 10.1109/CDC.2000.912831

[9]

Ishihara JY, 2001, IEEE DECIS CONTR P, P2860, DOI 10.1109/CDC.2001.980709

[10]

Kaczorek T., 2004, International Journal of Applied Mathematics and Computer Science, V14, P19

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