Exponential Stabilization of Time-Delayed Systems with Markovian Jumping

Author

Shuping He

Author_Institution

Coll. of Electr. Eng. & Autom., Anhui Univ., Hefei, China

fYear

2012

fDate

7-9 Dec. 2012

Firstpage

117

Lastpage

120

Abstract

The exponentially stochastic stabilization problems for stochastic Markov jump systems (MJSs) with uncertain parameters and time-delays are considered. By selecting the appropriate Lyapunov-Krasovskii functional, it gives the sufficient condition such that the MJSs is exponentially stochastically stable and stabilizable. The stability and stabilization criteria are formulated in the form of linear matrix inequalities. Two numerical examples are exploited to illustrate the validity of the developed techniques.

Keywords

Lyapunov methods; Markov processes; asymptotic stability; delays; linear matrix inequalities; stochastic systems; uncertain systems; LMI; Lyapunov-Krasovskii functional; MJS; exponential stabilization; linear matrix inequalities; stochastic Markov jump systems; time-delayed systems; uncertain parameters; Control theory; Delay; Robustness; Stability criteria; Stochastic processes; Symmetric matrices; Markov jump systems (MJSs); exponentially stochastically stable; linear matrix inequalities; stabilization; time-delays; uncertainties;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Engineering and Communication Technology (ICCECT), 2012 International Conference on

Conference_Location

Liaoning

Print_ISBN

978-1-4673-4499-9

Type

conf

DOI

10.1109/ICCECT.2012.46

Filename

6414139