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

被引：10

作者：

Zhao, Gui-Hua ^{[1
]}

Liu, Shu-Jun ^{[2
]}

机构：

[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

[2] Sichuan Univ, Coll Math, Chengdu 610064, Peoples R China

来源：

SCIENCE CHINA-INFORMATION SCIENCES | 2022年 / 65卷 / 11期

基金：

中国国家自然科学基金;

关键词：

stochastic time-varying nonlinear systems; Markovian switching; weak solutions; stochastic finite-time stability; finite-time control; STABILITY; SYNCHRONIZATION; NETWORKS;

D O I：

10.1007/s11432-021-3458-9

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

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.

引用

页数：21

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