Global exponential stability for stochastic networks of coupled oscillators with variable delay

被引：18
作者：
Li, Wenxue [1 ]
Wang, Shihua [1 ]
Su, Huan [1 ]
Wang, Ke [1 ,2 ]
机构：
[1] Harbin Inst Technol Weihai, Dept Math, Weihai 264209, Peoples R China
[2] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2015年 / 22卷 / 1-3期
基金：
中国博士后科学基金;
关键词：
Stochastic network; Coupled oscillators; Variable delay; Exponential stability; GROSSBERG NEURAL-NETWORKS; GRAPH-THEORETIC APPROACH; POWER-FLOW ANALYSIS; DISTRIBUTED DELAYS; BIFURCATION-ANALYSIS; NONLINEAR INCIDENCE; EPIDEMIC MODELS; POLS OSCILLATOR; SYSTEMS; DYNAMICS;
D O I：
10.1016/j.cnsns.2014.10.029
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A general model of stochastic networks of coupled oscillators with variable delay is considered. Together the methods of graph theory and Lyapunov function, some sufficient conditions which ensure the pth moment exponential stability and the almost surely exponential stability are presented. Finally, the results are applied to an example and the numerical simulations are given to verify and also visualize the theoretical results. (C) 2014 Elsevier B.V. All rights reserved.
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页码：877 / 888
页数：12
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