The paper mainly focuses on the synchronization of the coupled delayed reaction-diffusion neural networks (CDRDNNs) with delayed impulses. Firstly, the synchronization of CDRDNNs is studied by the direct error method instead of weighted average method. Then, a strict comparison principle is derived to solve the synchronization of the systems with delayed impulses. Combined with this comparison principle and the average impulsive delay (AID) method, some sufficient conditions of CDRDNNs are proposed. In addition, the sufficient criteria suggest that the impulsive delay could play a positive role for synchronization of CDRDNNs to a certain extent. Finally, two examples are provided to illustrate the validity of our established results.

本文主要关注具有延迟脉冲的耦合延迟反应-扩散神经网络（CDRDNN）的同步。首先，用直接误差法代替加权平均法研究CDRDNNs的同步。然后，推导出一个严格的比较原理来解决具有延迟脉冲的系统的同步问题。结合这种比较原理和平均脉冲延迟（AID）方法，提出了CDRDNNs的一些充分条件。此外，充分的标准表明脉冲延迟可以在一定程度上对CDRDNNs的同步起到积极作用。最后，提供了两个例子来说明我们既定结果的有效性。