Synchronization of nonlinear complex network with time-varying delays
Liu Ting · Journal of Anhui University · 2012
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 and 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.