Stability for switched systems with interval time-varying delays

Author

Duyu Liu ; Qinzhen Huang

Author_Institution

Coll. of Electr. & Inf. Eng., Southwest Univ. for Nat. of China, Chengdu, China

fYear

2014

fDate

28-30 July 2014

Firstpage

4044

Lastpage

4049

Abstract

The stability analysis problem for a class of continuous-time switched systems with time-delay varying in an interval is studied in this paper. By using a newly constructed Lyapunov functional and the average dwell time scheme, a delay-dependent sufficient condition is derived for the considered system to be exponentially stable. The obtained results provide a solution to one of the basic problems in continuous-time switched time-delay systems, that is, to find a switching signal for which the switched time-delay system is exponentially stable. An illustrative example is given to demonstrate the effectiveness of the proposed results.

Keywords

Lyapunov methods; asymptotic stability; continuous time systems; delays; time-varying systems; Lyapunov functional; average dwell time scheme; continuous-time switched time-delay systems; delay-dependent sufficient condition; exponential stability; interval time-varying delays; stability analysis problem; switching signal; Control theory; Delays; Power system stability; Stability analysis; Switched systems; Switches; Average Dwell Time; Exponential Stability; Interval Time-varying Delays; Switched time-delay Systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2014 33rd Chinese

Conference_Location

Nanjing

Type

conf

DOI

10.1109/ChiCC.2014.6895615

Filename

6895615