This paper investigates the global exponential synchronization problem of delayed memristive neural networks (MNNs) with reaction-diffusion terms. First, by utilizing the pinning control technique, two novel kinds of control methods are introduced to achieve synchronization of delayed MNNs with reaction-diffusion terms. Then, with the help of inequality techniques, pinning control technique, the drive-response concept and Lyapunov functional method, two sufficient conditions are obtained in the form of algebraic inequalities, which can be used for ensuring the exponential synchronization of the proposed delayed MNNs with reaction-diffusion terms. Moreover, the obtained results based on algebraic inequality complement and improve the previously known results. Finally, two illustrative examples are given to support the effectiveness and validity of the obtained theoretical results.

中文翻译：

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具有反应扩散项的时滞忆阻神经网络的全局指数同步。

本文研究了带有反应扩散项的时滞忆阻神经网络（MNN）的全局指数同步问题。首先，利用钉扎控制技术，引入了两种新颖的控制方法来实现延迟MNN与反应扩散项的同步。然后，借助不等式技术，钉扎控制技术，驱动响应概念和Lyapunov函数法，以代数不等式的形式获得了两个充分条件，可用于确保所提出的延迟MNNs的指数同步。反应扩散项。此外，基于代数不等式的所得结果补充并改进了先前已知的结果。最后，