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

作     者：Gui-Hua ZHAO Shu-Jun LIU 

作者机构：College of Science University of Shanghai for Science and Technology College of Mathematics Sichuan University 

出 版 物：《Science China(Information Sciences)》 (中国科学:信息科学(英文版))

年 卷 期：2022年第65卷第11期

页      面：196-216页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 0811[工学-控制科学与工程] 

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

主　　题：stochastic time-varying nonlinear systems Markovian switching weak solutions stochastic finite-time stability finite-time control 

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.