Control design for stochastic one-sided Lipschitz differential inclusion system with time delay

被引：7

作者：

Huang, Jun ^{[1
]}

Yu, Lei ^{[1
]}

Chen, Liang ^{[1
]}

机构：

[1] Soochow Univ, Sch Mech & Elect Engn, Suzhou 215131, Jiangsu, Peoples R China

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2018年 / 49卷 / 14期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Differential inclusions; one-sided Lipschitz; stochastic system; OBSERVER DESIGN; EXPONENTIAL OBSERVER; STABILITY;

D O I：

10.1080/00207721.2018.1528406

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper is concerned with the control design problem for stochastic one-sided Lipschitz differential inclusion system with time delay. Different from the current works on the differential inclusion system, the nonlinear function with time delay is assumed to be one-sided Lipschitz. First, the theory of stochastic differential equation is extended to stochastic differential inclusion and the stability criterion is given. Next, convex hull Lyapunov function is used to construct the nonlinear controllers, and the sufficient conditions for stability are derived by a set of bilinear matrix inequalities. Finally, three simulation examples are provided to verify the validity of the designed controllers.

引用

页码：2923 / 2939

页数：17

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