A Common Lyapunov Function for a Class of Switched Descriptor Systems

Author

Gu Ze-quan ; Liu He-ping ; Liao Fu-cheng

Author_Institution

Inf. Eng. Sch., Univ. of Sci. & Technol. Beijing, Beijing

fYear

2009

fDate

1-2 Feb. 2009

Firstpage

29

Lastpage

31

Abstract

The existence of a common Lyapunov function for a class of linear switched descriptor systems was studied, where the system matrices were commute pairwise. We first presented work on two subsystems, a Lyapunov function was constructed and proved to be a common Lyapunov function of the system, and then we extended to the case of multi-subsytems, using the similar method. Finally, a sufficient condition for the existence of a common Lyapunov function for the linear switched descriptor system was presented, this assured the system asymptotically stable under arbitrary switching strategy.

Keywords

Lyapunov methods; asymptotic stability; linear systems; matrix algebra; time-varying systems; Lyapunov function; arbitrary switching strategy; asymptotic stability; linear switched descriptor system; multi subsytem; system matrix; Asia; Asymptotic stability; Equations; Informatics; Lyapunov method; Power system stability; Robotics and automation; Stability analysis; Sufficient conditions; Switched systems; asymptotically stable; common Lyapunov function; hybirid dynamical systems; switched descriptor systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Informatics in Control, Automation and Robotics, 2009. CAR '09. International Asia Conference on

Conference_Location

Bangkok

Print_ISBN

978-1-4244-3331-5

Type

conf

DOI

10.1109/CAR.2009.13

Filename

4777188