Robust stability criteria for Markovian jump singular systems with time-varying delays

Author

Haidar, A. ; Boukas, E.K.

Author_Institution

Mech. Eng. Dept., Ecole Polytech. de Montreal, Montreal, QC, Canada

fYear

2008

fDate

9-11 Dec. 2008

Firstpage

4657

Lastpage

4662

Abstract

This paper deals with the class of continuous-time Markovian jump singular systems with time-varying delay. The stability problem of this class of systems is addressed and delay-dependent sufficient conditions such that the system is regular, impulse free and asymptotically mean square stable are developed in the linear matrix inequality (LMI) setting. A numerical example is employed to show the usefulness of the proposed results.

Keywords

Markov processes; asymptotic stability; continuous time systems; delays; linear matrix inequalities; robust control; stochastic systems; LMI; Markovian jump singular system; asymptotically mean square stability; continuous-time system; linear matrix inequality; robust stability criteria; time-varying delays; Asymptotic stability; Chemical processes; Control systems; Delay effects; Delay systems; Differential equations; Linear matrix inequalities; Robust stability; Sufficient conditions; Time varying systems; Delay-dependent; Linear matrix inequality; Markovian jump systems; Singular time-delay systems; Stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2008. CDC 2008. 47th IEEE Conference on

Conference_Location

Cancun

ISSN

0191-2216

Print_ISBN

978-1-4244-3123-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2008.4739050

Filename

4739050