Global exponential stability for multi-group neutral delayed systems based on Razumikhin method and graph theory

被引：16

作者：

Guo, Ying ^{[1
]}

Wang, Yida ^{[2
]}

Ding, Xiaohua ^{[2
]}

机构：

[1] Qingdao Technol Univ, Dept Math, Qingdao 266520, Peoples R China

[2] Harbin Inst Technol Weihai, Dept Math, Weihai 264209, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2018年 / 355卷 / 06期

基金：

中国国家自然科学基金;

关键词：

TIME-VARYING DELAY; GENERALIZED NEURAL-NETWORKS; STOCHASTIC COUPLED SYSTEMS; DIFFERENTIAL-EQUATIONS; EPIDEMIC MODEL; GROUP SEIR; DISSIPATIVITY;

D O I：

10.1016/j.jfranklin.2018.02.010

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 global exponential stability for an original class called coupled systems of multi-group neutral delayed differential equations (MNDDEs). By employing Razumikhin method along with graph theory, sufficient conditions are established to guarantee the global exponential stability of MNDDEs, which are in the form of Razumikhin theorem. For the convenience of use, sufficient conditions in the form of coefficients are also obtained. Furthermore, coefficient-type criterion is employed to study the stability of coupled neutral delay oscillators which shows the applicability of our findings. Finally, two numerical examples are given to demonstrate the validity and feasibility of the theoretical results. (C) 2018 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：3122 / 3144

页数：23

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