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
收藏
页码：3122 / 3144
页数：23
相关论文
共 50 条
  • [1] Exponential stability for second-order neutral stochastic differential equations with impulses
    Arthi, G.
    Park, Ju H.
    Jung, H. Y.
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 2015, 88 (06) : 1300 - 1309
  • [2] Discontinuous solutions of neutral delay differential equations
    Baker, CTH
    Paul, CAH
    [J]. APPLIED NUMERICAL MATHEMATICS, 2006, 56 (3-4) : 284 - 304
  • [3] Razumikhin-type theorems on stability of stochastic neural networks with delays
    Blythe, S
    Mao, XR
    Shah, A
    [J]. STOCHASTIC ANALYSIS AND APPLICATIONS, 2001, 19 (01) : 85 - 101
  • [4] A Lyapunov-Razumikhin approach for stability analysis of logistics networks with time-delays
    Dashkovskiy, Sergey
    Karimi, Hamid Reza
    Kosmykov, Michael
    [J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2012, 43 (05) : 845 - 853
  • [5] Global stability of multi-group vaccination epidemic models with delays
    Ding, Deqiong
    Ding, Xiaohua
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (04) : 1991 - 1997
  • [6] Convergence analysis of the solution of retarded and neutral delay differential equations by continuous numerical methods
    Enright, WH
    Hayashi, H
    [J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1998, 35 (02) : 572 - 585
  • [7] A regularization for discontinuous differential equations with application to state-dependent delay differential equations of neutral type
    Fusco, Giorgio
    Guglielmi, Nicola
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 250 (07) : 3230 - 3279
  • [8] Path-regularization of linear neutral delay differential equations with several delays
    Guglielmi, Nicola
    Hairer, Ernst
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2016, 292 : 785 - 794
  • [9] A graph-theoretic approach to the method of global Lyapunov functions
    Guo, Hongbin
    Li, Michael Y.
    Shuai, Zhisheng
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 136 (08) : 2793 - 2802
  • [10] Stochastic stability for pantograph multi-group models with dispersal and stochastic perturbation
    Guo, Ying
    Ding, Xiaohua
    Li, Yingjian
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2016, 353 (13): : 2980 - 2998
12345