Stability Analysis of a Class of Switched Time-delay Systems with Unstable Subsystems

Author

Chen, Ruiru ; Khorasani, K.

Author_Institution

Concordia Univ. Montreal, Quebec

fYear

2007

fDate

May 30 2007-June 1 2007

Firstpage

265

Lastpage

270

Abstract

This paper analyzes the stability of a class of linear switched time-delay systems which contain unstable subsystems. Stability conditions are derived by applying the descriptor transformation and developing a new technique in the derivative of the Lyapunov functional, such that the effects of the mixed states are included. Consequently, the resulting delay dependent stability criteria are less conservative compared to the published work in the literature. It is also shown that not only the stability of the system but also the region of the ultimate boundedness are dependent on the size of the delay.

Keywords

Lyapunov methods; delays; linear systems; time-varying systems; Lyapunov functional; delay dependent stability criteria; descriptor transformation; linear systems; stability analysis; switched time-delay systems; unstable subsystems; Automatic control; Communication networks; Communication switching; Control systems; Delay systems; Linear systems; Lyapunov method; Stability analysis; Stability criteria; Switched systems; Lyapunov-Krasovskii stability conditions; stability; switching systems; time-delay system;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Automation, 2007. ICCA 2007. IEEE International Conference on

Conference_Location

Guangzhou

Print_ISBN

978-1-4244-0818-4

Electronic_ISBN

978-1-4244-0818-4

Type

conf

DOI

10.1109/ICCA.2007.4376360

Filename

4376360