Discrete Razumikhin-type stability theorems for stochastic discrete-time delay systems

被引：10

作者：

Zong, Xiaofeng ^{[1
,2
]}

Lei, Dongxia ^{[3
]}

Wu, Fuke ^{[3
]}

机构：

[1] China Univ Geosci, Sch Automat, Wuhan 430074, Hubei, Peoples R China

[2] Hubei Key Lab Adv Control & Intelligent Automat C, Wuhan 430074, Hubei, Peoples R China

[3] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2018年 / 355卷 / 17期

基金：

中国国家自然科学基金;

关键词：

FUNCTIONAL-DIFFERENTIAL EQUATIONS; EXPONENTIAL STABILITY; LINEAR-SYSTEMS; STATE; STABILIZATION; INCLUSIONS;

D O I：

10.1016/j.jfranklin.2018.09.007

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

By using the Razumikhin-type technique, for stochastic discrete-time delay systems, this paper establishes the discrete Razumikhin-type theorems on the pth moment stability, the global pth moment stability and the pth moment exponential stability, respectively. The almost sure exponential stability is also investigated by using the pth moment exponential stability and the Borel-Cantelli lemma. As the applications of the established theorems, stability of a special class of stochastic discrete-time delay systems, synchronization of the stochastic discrete-time delay dynamical networks and stabilization of a stochastic discrete-time linear delay time invariant system are examined. (C) 2018 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：8245 / 8265

页数：21

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