中文摘要：

基于线性时滞系统的稳定性理论,研究了具有耦合时滞的复杂网络的同步问题,并给出了相应的同步稳定性判据.为了刻画网络同步的速率,进一步研究了同步误差系统的衰减率,并得到了估计衰减率大小的不等式.最后给出数值算例并结合理论结果,研究网络类型、网络尺寸、时间延迟及节点之间的耦合强度等因素对衰减率的影响.

英文摘要：

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.