Stability and robust stabilization for uncertain discrete stochastic hybrid singular systems with time-delay

Author

Ma, Shuping ; Boukas, El-Kébir

Author_Institution

Sch. of Math. & Syst. Sci., Shandong Univ., Jinan, China

fYear

2008

fDate

9-11 Dec. 2008

Firstpage

3404

Lastpage

3409

Abstract

The stochastic stability and robust stochastic stabilization for time-delay discrete Markovian jump singular systems with parameter uncertainties are discussed. Based on stochastic Lyapunov functional, a delay-dependent linear matrix inequalities (LMIs) condition for the time-delay discrete Markovian jump singular systems to be regular, causal and stochastically stable is given. With this condition, the problem of robust stochastic stabilization is solved. A numerical example to illustrate the effectiveness of the method is given in the paper.

Keywords

Lyapunov methods; Markov processes; delay systems; discrete systems; linear matrix inequalities; stability; stochastic systems; uncertain systems; delay-dependent linear matrix inequality; discrete Markovian jump singular system; hybrid singular system; parameter uncertainties; robust stochastic stabilization; stochastic Lyapunov functional; time-delay system; uncertain discrete stochastic system; Control systems; Delay lines; Linear matrix inequalities; Robust control; Robust stability; Robustness; Stochastic processes; Stochastic systems; Symmetric matrices; Uncertain systems;

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.2008.4738629

Filename

4738629