Commutation condition for stability analysis of switched linear descriptor systems

Author

Zhai, Guisheng ; Xu, Xuping

Author_Institution

Dept. of Math. Sci., Shibaura Inst. of Technol., Saitama, Japan

fYear

2010

fDate

8-10 Sept. 2010

Firstpage

2088

Lastpage

2093

Abstract

We study the stability analysis problem for switched linear descriptor systems. Assuming that all subsystems are stable and there is no impulse at the switching instants, we establish a new pairwise commutation condition under which the switched system is stable. We also show that when the proposed commutation condition holds, there exists a common quadratic Lyapunov function (CQLF) for the subsystems. These results are natural and important extensions to the existing results for switched systems in the state space representation.

Keywords

Lyapunov methods; linear systems; stability; time-varying systems; common quadratic Lyapunov function; pairwise commutation condition; stability analysis problem; state space representation; switched linear descriptor systems; Eigenvalues and eigenfunctions; Equations; Lyapunov method; Stability analysis; Switched systems; Switches; Switched linear descriptor systems; common quadratic Lyapunov functions (CQLFs); impulse-free arbitrary switching; pairwise commutation; stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control (ISIC), 2010 IEEE International Symposium on

Conference_Location

Yokohama

ISSN

2158-9860

Print_ISBN

978-1-4244-5360-3

Electronic_ISBN

2158-9860

Type

conf

DOI

10.1109/ISIC.2010.5612918

Filename

5612918