In this paper, the fixed-time lag synchronization for a general class of memristor-based neural networks (MNNs) with time delays is considered. Under the extended Filippov-framework theory, some sufficient criteria for fixed-time lag synchronization of delayed MNNs are derived based on the Lyapunov function. Besides, two types of controllers are given to ensure the fixed-time lag synchronization of the corresponding system, while the settling time of synchronization are also estimated. Finally, a numerical example is given to demonstrate the effectiveness of the developed method and the theoretical results.

中文翻译：

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基于延迟忆阻器的神经网络的固定时间滞后同步分析

在本文中，考虑了具有时滞的一般类忆阻器神经网络（MNN）的固定时滞同步。在扩展的Filippov框架理论下，基于Lyapunov函数，推导了延迟MNN的固定时间滞后同步的一些充分标准。此外，给出了两种类型的控制器以确保相应系统的固定时间滞后同步，同时还估计了同步的建立时间。最后，通过算例说明了所提方法的有效性和理论结果。