Affiliation:
1. Department of Mathematics University of Shanghai for Science and Technology Shanghai China
Abstract
AbstractIn this paper, we investigate the finite‐time stabilization of a class of nonlocal Lipschitzian stochastic nonlinear systems with Markovian switching and stochastic inverse dynamics. We first present the finite‐time stability theory for stochastic nonlinear systems with Markovian switching under the framework of weak solutions. Then, a finite‐time controller with state feedback is constructed for a class of stochastic high‐order nonlinear systems with Markovian switching and stochastic inverse dynamics. The trivial weak solution of the closed‐loop system is proved to be globally finite‐time stable in probability. Finally, the effectiveness of the proposed design method is verified by a simulation example.
Funder
National Natural Science Foundation of China
Subject
Electrical and Electronic Engineering,Industrial and Manufacturing Engineering,Mechanical Engineering,Aerospace Engineering,Biomedical Engineering,General Chemical Engineering,Control and Systems Engineering
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献