This article investigates a new type of impulsive effect, namely the heterogeneous impulsive effect on the synchronization of complex-valued neural networks (CVNNs) with mixed time-varying delays. Heterogeneous impulsive effect is a unified framework of non-identical and time-varying impulses, i.e., the impulsive effect to state of each neuron is not only non-identical to each other but also distinct at different impulsive times. Here heterogeneous impulsive control is designed, which is an extension of hybrid impulsive control. The problem is studied with the following procedures. Firstly, the master-slave CVNNs are explicitly separated into two real-valued neural networks (RVNNs). Secondly, the two RVNNs are transformed into impulsive error dynamical system using the heterogeneous impulsive controller. Thirdly, the concepts of average impulsive interval (AII) and average impulsive gain (AIG) are implemented to obtain the synchronization of delayed CVNNs under heterogeneous impulsive effects. By employing a matrix measure method and extended impulsive Halanay inequality, sufficient criteria are derived to guarantee exponential synchronization of the given delayed CVNNs. The dependency of convergence rates on AIIs and AIGs is explicitly discussed. Finally, two examples are provided to show the efficiency of the proposed theoretical results.

本文研究了一种新型的脉冲效应，即具有混合时变时滞的复值神经网络（CVNN）同步的异构脉冲效应。异类冲动效应是不相同且随时间变化的冲动的统一框架，即，对每个神经元状态的冲动效应不仅彼此不同，而且在不同的冲动时间也不同。这里设计了异质脉冲控制，这是混合脉冲控制的扩展。通过以下步骤研究该问题。首先，将主从CVNN明确分为两个实值神经网络（RVNN）。其次，利用异构脉冲控制器将两个RVNN转化为脉冲误差动力系统。第三，实现了平均脉冲间隔（AII）和平均脉冲增益（AIG）的概念，以在异构脉冲效应下获得延迟CVNN的同步。通过采用矩阵测度方法和扩展的脉冲Halanay不等式，可以得出足够的标准来保证给定延迟CVNN的指数同步。明确讨论了收敛速度对AII和AIG的依赖性。最后，提供了两个例子来说明所提出的理论结果的有效性。得出足够的标准来保证给定延迟CVNN的指数同步。明确讨论了收敛速度对AII和AIG的依赖性。最后，提供了两个例子来说明所提出的理论结果的有效性。得出足够的标准来保证给定延迟CVNN的指数同步。明确讨论了收敛速度对AII和AIG的依赖性。最后，提供了两个例子来说明所提出的理论结果的有效性。