Global asymptotic stability analysis of discrete-time stochastic coupled systems with time-varying delay

被引：3

作者：

Rui, Hou ^{[1
]}

Liu, Jiayi ^{[1
]}

Qu, Yanbin ^{[1
]}

Cong, Shujian ^{[2
]}

Song, Huihui ^{[1
]}

机构：

[1] Harbin Inst Technol Weihai, Sch New Energy, Weihai 264209, Peoples R China

[2] Shandong Weigao Orthoped Device Co Ltd, Weihai, Peoples R China

来源：

INTERNATIONAL JOURNAL OF CONTROL | 2021年 / 94卷 / 03期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Discrete-time stochastic coupled systems; time-varying delay; global asymptotic stability; graph theory; lyapunov method; BAM NEURAL-NETWORKS; FEEDBACK-CONTROL; SYNCHRONIZATION; STABILIZATION; PROBABILITY;

D O I：

10.1080/00207179.2019.1616823

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 problem of global asymptotic stability for the discrete-time stochastic coupled systems with time-varying delay (DSCSTD). Based on graph theory and Lyapunov method, a systematic method is given for constructing a global Lyapunov function for the DSCSTD. Some novel stability criteria for the DSCSTD are obtained. Furthermore, to demonstrate the significance in practice, the theoretical results are applied to stochastic coupled oscillators. Finally, a numerical example is given to illustrate the effectiveness of the theoretical results. The above work will provide a theoretical principle for subsequent controller design of the DSCSTD in future.

引用

页码：757 / 766

页数：10

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