This paper deals with the synchronization for discrete-time coupled neural networks (DTCNNs), in which stochastic perturbations and multiple delays are simultaneously involved. The multiple delays mean that both discrete time-varying delays and distributed delays are included. Time-triggered impulsive control (TTIC) is proposed to investigate the synchronization issue of the DTCNNs based on the recently proposed impulsive control scheme for continuous neural networks with single time delays. Furthermore, a novel event-triggered impulsive control (ETIC) is designed to further reduce the communication bandwidth. By using linear matrix inequality (LMI) technique and constructing appropriate Lyapunov functions, some sufficient criteria guaranteeing the synchronization of the DTCNNs are obtained. Finally, We propose a simulation example to illustrate the validity and feasibility of the theoretical results obtained.

本文研究了离散时间耦合神经网络（DTCNN）的同步问题，该过程中同时涉及随机扰动和多重延迟。多个延迟意味着离散时变延迟和分布式延迟都包括在内。基于最近提出的具有单个时延的连续神经网络的脉冲控制方案，提出了时间触发脉冲控制（TTIC）来研究DTCNN的同步问题。此外，一种新颖的事件触发脉冲控制（ETIC）被设计为进一步减少通信带宽。通过使用线性矩阵不等式（LMI）技术并构造适当的Lyapunov函数，可以获得一些足以保证DTCNN同步的准则。最后，