Estimation of decay rate for synchronization of complex networks with coupling delays
Junqun Xu · Engineering Journal of Wuhan University · 2011
The synchronization for complex networks with coupling delays is investigated based on the stability theory of linear time-delay system;and then a novel stability criterion is obtained.Furthermore,the decay rate of the synchronous state is discussed to analyze the rate of convergence,and an estimation of decay rate is proposed in the form of algebraic inequality.Finally,some numerical examples are given,not only to show the effective of the proposed method,but also to study how the decay rate depends on the facts such as the type and size of the networks,the coupling strength,the coupling delays,etc.