安徽大学学报（自然科学版）2012，Vol.36Issue(2)：9-14,6.
带有时变时滞和非线性耦合的复杂网络同步
Synchronization of nonlinear complex network with time-varying delays
摘要
Abstract
Complex networks have attracted increasing attention from various fields of science and engineering today. Due to the finite speeds of transmission and spreading as well as traffic congestions, a signal or influence traveling through a complex network often was associated with time delays, and this is very common in biological and physical networks. And most of delays are changing with time. In this paper, we introduced complex dynamical network models with two kinds of time - varying delays in both nodes arid coupling item of networks. And then we investigated their synchronization phenomena and criteria. Based on these new complex network models, we derived synchronization conditions in terms of the Lyapunov stability theory and linear matrix inequalities (LMI). We finally used the results of numerical simulations to illustrate the theoretical results.关键词
同步/时变时滞/非线性/耦合/复杂动态网络/节点/Lyapunov稳定性理论/线性矩阵不等式(LMI)Key words
synchronization/ time - varying delays/ nonlinear/ coupling/ complex dynamical network/nodes/ Lyapunov stability theory/ linear matrix inequality ( LMI)分类
数理科学引用本文复制引用
褚衍东,李红敏,张建刚,柳亭..带有时变时滞和非线性耦合的复杂网络同步[J].安徽大学学报（自然科学版）,2012,36(2):9-14,6.基金项目
国家自然科学基金资助项目(50474008) （50474008）
兰州交通大学科研基金资助项目(DXS2010-019) （DXS2010-019）
