Almost surely attractive sets of discrete-time Markov jump systems with stochastic disturbances via impulsive control

被引：8

作者：

Xu, Liguang ^{[1
]}

Dai, Zhenlei ^{[1
]}

Ge, Shuzhi Sam ^{[2
]}

机构：

[1] Zhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Zhejiang, Peoples R China

[2] Natl Univ Singapore, Dept Elect & Comp Engn, Singapore 117576, Singapore

来源：

IET CONTROL THEORY AND APPLICATIONS | 2019年 / 13卷 / 01期

基金：

美国国家科学基金会;

关键词：

stochastic systems; discrete time systems; linear systems; Lyapunov methods; stochastic disturbances; Markov's inequality; discrete-time Markov jump stochastic system; attractive sets; impulsive control strategies; FUNCTIONAL-DIFFERENTIAL EQUATIONS; EXPONENTIAL ULTIMATE BOUNDEDNESS; NEURAL-NETWORKS; STABILITY ANALYSIS; STABILIZATION; THEOREMS; DESIGN;

D O I：

10.1049/iet-cta.2018.5262

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, the problem on the globally almost surely attractive sets is addressed for a class of discrete-time Markov jump systems with stochastic disturbances via impulsive control. Based on the Lyapunov function methods and the Markov's inequality, the authors derive some sufficient conditions guaranteeing the existence of the global almost surely attractive sets of the considered systems. Meanwhile, the estimation of the attractive sets is also given out. It is shown that the unbounded discrete-time Markov jump stochastic system without attractive sets can turn into the bounded one with attractive sets via proper impulsive control strategies. An example is also presented to illustrate the main results.

引用

页码：78 / 86

页数：9

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