The global synchronization problem of multiple discrete-time memristor-based neural networks (DTMNNs) with stochastic perturbations and mixed delays is studied under impulse-based coupling control, where the coupling control only occurs at discrete impulse times. The impulse-based coupling control will further reduce the communication bandwidth for multiple DTMNNs to achieve coupling synchronization. We construct an array of multiple DTMNNs with stochastic perturbations and mixed delays and propose a novel impulse-based coupling control scheme. By utilizing Lyapunov–Krasovskii functional technique, schur complement technique and linear matrix inequality (LMI) method, some sufficient synchronization conditions depending on stochastic perturbations and mixed delays are established. At the end of this paper, a numerical example is given and the effectiveness of the impulse-based coupling control is illustrated by using MATLAB programming.

在基于脉冲的耦合控制下研究了具有随机扰动和混合时滞的多个基于离散忆阻器的神经网络（DTMNN）的全局同步问题，其中耦合控制仅在离散脉冲时间发生。基于脉冲的耦合控制将进一步减少多个DTMNN的通信带宽，以实现耦合同步。我们构造了具有随机扰动和混合时滞的多个DTMNN阵列，并提出了一种新颖的基于脉冲的耦合控制方案。通过利用Lyapunov–Krasovskii函数技术，schur补充技术和线性矩阵不等式（LMI）方法，建立了一些根据随机扰动和混合延迟的充分同步条件。在本文的最后，