Title :
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
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;
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
DOI :
10.1109/CHICC.2006.4347502
