Stability analysis of switched time-delay systems with polytopic uncertainties

Author

Moezzi, Kaveh ; Aghdam, Amir G.

Author_Institution

Dept. of Electr. & Comput. Eng., Concordia Univ., Montréal, QC, Canada

fYear

2010

fDate

15-17 Dec. 2010

Firstpage

5649

Lastpage

5655

Abstract

In this paper, sufficient conditions are provided for the stability of switched time-delay systems with polytopic uncertainties. It is assumed that the delay in the system dynamics is time-varying and bounded. Parameter-dependent Lyapunov functionals are employed to obtain exponential stability criteria in the form of linear matrix inequalities (LMI) for the system. Free weighting matrices are then provided to express the relationship between the system variables and the terms in the Leibniz-Newton formula. A numerical example is presented to show the effectiveness of the results obtained.

Keywords

Lyapunov methods; asymptotic stability; delays; linear matrix inequalities; stability criteria; time-varying systems; uncertain systems; Leibniz-Newton formula; Lyapunov functional; exponential stability criteria; free weighting matrices; linear matrix inequalities; polytopic uncertainty; stability analysis; switched time-delay system; system dynamics; time-varying system; Bismuth; Numerical stability; Stability criteria; Switched systems; Switches; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control (CDC), 2010 49th IEEE Conference on

Conference_Location

Atlanta, GA

ISSN

0743-1546

Print_ISBN

978-1-4244-7745-6

Type

conf

DOI

10.1109/CDC.2010.5718161

Filename

5718161