Stabilization Control for a Class of Two-Dimensional Markovian Jumping Nonlinear Systems with Time-delays

Author

Ping, Zhao ; Yu, Kang

Author_Institution

Chinese Acad. of Sci., Beijing

fYear

2007

Firstpage

702

Lastpage

706

Abstract

In this paper, stabilization control problem for a class of two dimensional Markovian jumping nonlinear systems with time-delays is investigated. A sufficient condition of existence and uniqueness of the solution process to Markovian jumping nonlinear systems is given. And, a criterion for asymptotical stability in probability is obtained. Through properly constructing Lyapunov function and using the backstepping method, a memoryless state-feedback controller is designed. It is shown that the equilibrium of the closed-loop system is globally asymptotically stable in probability.

Keywords

Lyapunov methods; Markov processes; asymptotic stability; closed loop systems; control system synthesis; delays; nonlinear control systems; state feedback; Lyapunov function; asymptotical stability; backstepping method; closed-loop system; memoryless state-feedback controller; stabilization control; time-delays; two-dimensional Markovian jumping nonlinear systems; Asymptotic stability; Backstepping; Control systems; Lyapunov method; Mathematics; Nonlinear control systems; Nonlinear systems; Stability criteria; Sufficient conditions; Backstepping method; Markovian jumping system; Nonlinear system; Stabilization control; Time-delay system;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference, 2007. CCC 2007. Chinese

Conference_Location

Hunan

Print_ISBN

978-7-81124-055-9

Electronic_ISBN

978-7-900719-22-5

Type

conf

DOI

10.1109/CHICC.2006.4347502

Filename

4347502