Stabilization of differential inclusion systems with Markovian jumping

Author

Liu, Hongying ; Ding, Shuai ; Zhou, Huimin

Author_Institution

Harbin Normal Univ., Harbin, China

fYear

2014

fDate

28-30 July 2014

Firstpage

5381

Lastpage

5386

Abstract

The stabilization of differential inclusions with Markovian jumping is discussed. A kind of uncertain Markovian jumping systems are modeled as differential inclusions with Markovian jumping. Based on the convex hull Lyapunov function, a kind of stochastical Lyapunov function is presented. The feedback control law is obtained to make the closed-loop system exponentially stable in the mean square. Finally, a simulation is given to show the effectiveness of this control design.

Keywords

Lyapunov methods; Markov processes; closed loop systems; control system synthesis; convex programming; feedback; mean square error methods; stability; stochastic systems; uncertain systems; closed-loop system exponentially stable; control design; convex hull Lyapunov function; differential inclusion system stabilization; feedback control law; mean square problem; stochastical Lyapunov function; uncertain Markovian jumping systems; Closed loop systems; Control design; Linear systems; Lyapunov methods; Nonlinear systems; Robustness; Stochastic processes; Convex hull Lyapunov function; Markovian jumping; differential inclusions;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2014 33rd Chinese

Conference_Location

Nanjing

Type

conf

DOI

10.1109/ChiCC.2014.6895857

Filename

6895857