%0 Journal Article
%T Stabilization Control for a Class of Two-Dimensional MarkovianJumping Nonlinear Systems with Time-Delays<br>一类二维Markov跳跃非线性时滞系统的镇定控制
%A Zhao Ping
%A Kang Yu
%A <br>赵 平
%A 康 宇
%J 系统科学与数学
%D 2007
%I 
%X In this paper, stabilization control problem for a class of two dimensional Markovian jumping nonlinear systems with time-delays is investigated. Asufficient 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.
%K Nonlinear system
%K markovian jumping system
%K time-delay system
%K backstepping method
%K stabilization control<br>非线性系统
%K Markov跳跃系统
%K 时滞系统
%K 积分反推方法
%K 镇定控制
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=720221AEED755825&yid=A732AF04DDA03BB3&vid=DB817633AA4F79B9&iid=38B194292C032A66&sid=9B95A71E6639C039&eid=788931E6318420A3&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=10