This article focuses on the intralayer-dependent impulsive synchronization of multiple mismatched multilayer neural networks (NNs) with mode-mixed effects. Initially, a novel multilayer NN model that removes the one-to-one interlayer coupling constraint and introduces nonidentical model parameters is first established to meet diverse modeling requirements in complex applications. To help the multilayer target NNs with mismatched connection coefficients and time delays achieve synchronization, the hybrid controller is designed using intralayer-dependent impulsive control and switched feedback control approaches. Furthermore, the mode-mixed effects caused by the intralayer coupling delays and switched intralayer topologies are incorporated into the novel model and analysis method to ensure that the subsystems operating within the current switching interval can effectively use the topology information of the previous switching intervals. Then, a novel analysis framework including super-Laplacian matrix, augmented matrix, and mode-mixed methods is developed to derive the synchronization results. Finally, the main results are verified via the numerical simulation with secure communication.

中文翻译：

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基于模式混合效应的多个不匹配多层神经网络的层内相关脉冲同步。

本文重点介绍具有模式混合效应的多个不匹配多层神经网络 (NN) 的层内依赖脉冲同步。最初，首先建立了一种新的多层神经网络模型，它消除了一对一的层间耦合约束并引入了不同的模型参数，以满足复杂应用中的多样化建模需求。为了帮助具有不匹配连接系数和时间延迟的多层目标神经网络实现同步，混合控制器的设计使用了层内相关的脉冲控制和切换反馈控制方法。此外，将层内耦合延迟和切换层内拓扑引起的模式混合效应纳入新的模型和分析方法，以确保在当前切换间隔内运行的子系统能够有效地使用先前切换间隔的拓扑信息。然后，开发了一个包括超拉普拉斯矩阵、增广矩阵和模式混合方法的新分析框架来推导同步结果。最后，通过保密通信的数值模拟对主要结果进行了验证。