Finite-time stabilization of nonlocal Lipschitzian stochastic time-varying nonlinear systems with Markovian switching  

作　　者：Gui-Hua ZHAO Shu-Jun LIU 

机构地区：[1]College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China [2]College of Mathematics,Sichuan University,Chengdu 610064,China

出　　处：《Science China(Information Sciences)》2022年第11期192-212,共21页中国科学（信息科学）（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant Nos.61673284,61807017)。

摘　　要：In this study,we investigate the stochastic finite-time stability theory and finite-time stabilization of stochastic time-varying nonlinear systems with Markovian switching in the sense of weak solutions.First,we present the stochastic finite-time stability theory under the framework of weak solutions:the existence of weak solutions and stochastic finite-time stability theorems for stochastic time-varying nonlinear systems with Markovian switching.Second,for a class of high-order stochastic nonlinear systems with Markovian switching,a finite-time stabilization controller is constructively designed,and the trivial weak solution of a closed-loop system is proven to be globally finite-time stable in probability.The effectiveness of the proposed finite-time control method is illustrated by a numerical example.

关 键 词：stochastic time-varying nonlinear systems Markovian switching weak solutions stochastic finite-time stability finite-time control 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]