文献类型：期刊文献

英文题名：Stabilization for Stochastic Nonlinear Differential Inclusion Systems with Time Delay

作者：Jiang, Zongcai[1];Liu, Jinjin[1,2];Zhang, Lili[1]

通讯作者：Jiang, ZC[1]

机构：[1]Henan Univ Econ & Law, Dept Math & Informat Sci, Zhengzhou 450046, Peoples R China;[2]Southeast Univ, Key Lab Measurement & Control Complex Syst Engn, Minist Educ, Sch Automat, Nanjing 210096, Jiangsu, Peoples R China

第一机构：河南财经政法大学数学与信息科学学院

通讯机构：[1]corresponding author), Henan Univ Econ & Law, Dept Math & Informat Sci, Zhengzhou 450046, Peoples R China.|[1048425]河南财经政法大学数学与信息科学学院;[10484]河南财经政法大学;

年份：2016

卷号：35

期号：12

起止页码：4567-4583

外文期刊名：CIRCUITS SYSTEMS AND SIGNAL PROCESSING

收录：;EI(收录号：20163902843706);Scopus(收录号：2-s2.0-84988357969);WOS:【SCI-EXPANDED(收录号:WOS:000384449800018)】；

基金：The authors are grateful for the science and technology research project of Henan province (No. 152102310089) and the doctoral program of Henan University of Economics and Law.

语种：英文

外文关键词：Stochastic nonlinear differential inclusion; Time delay; Convex hull Lyapunov function; Stabilization

摘要：In this paper, the stabilization problem for stochastic non-linear differential inclusion systems with time delay is discussed. First, the definition of the exponential stability in mean square for stochastic differential inclusion is presented. Second, under the framework of the convex hull Lyapunov function, a continuous feedback law is designed to make the closed-loop system exponentially stable in mean square. Finally, two numerical examples are presented to demonstrate the effectiveness of the proposed controller for the stabilization problem discussed in this paper.