Robust stochastic stability of uncertain discrete-time impulsive Markovian jump delay systems with multiplicative noises

被引：24

作者：

Zhang, Yu ^{[1
]}

Wang, Cheng ^{[1
]}

机构：

[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2015年 / 46卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Markovian jump parameter; impulse; robust stochastic stability; delay; H-INFINITY CONTROL; LINEAR-SYSTEMS; NEURAL-NETWORKS; DIFFERENCE-EQUATIONS; STABILIZATION; CONTROLLABILITY; PARAMETERS; STABILIZABILITY; OBSERVABILITY; CONTROLLERS;

D O I：

10.1080/00207721.2013.859329

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 paper, the robust stochastic stability is investigated for a class of uncertain discrete-time impulsive Markovian jump delay systems with multiplicative noises. Using the method of stochastic Lyapunov functionals construction, it is shown that impulses can stabilise the original impulse-free unstable systems. Moreover, the stability property of the impulse-free systems can be retained in the cases of appropriately large impulsive time interval. Some numerical examples are exploited to demonstrate the effectiveness and the superiority of the proposed results.

引用

页码：2210 / 2220

页数：11

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