This paper is devoted to investigating the exponential synchronization problem on a class of coupled heterogeneous neural networks with hybrid time-varying delays. Since the heterogeneity of neural networks, the quasi-synchronization rather than complete synchronization is studied. Consider that the controller would suffer from impulsive disturbances, the distributed pinning control strategy is introduced. By jointly applying the concept of average impulsive intervals, the extended comparison principle of impulsive systems, and the vector norm techniques, sufficient conditions for the achievement of exponential quasi-synchronization on coupled heterogeneous neural networks are eventually obtained. In view that different impulsive effects play different roles in network synchronizing, two different situations of exponential synchronization are considered, respectively, by separately discussing the impulsive-effects-related parameter. Additionally, on account of the extended parameter variation formula for impulsive systems with hybrid time-varying delays, the exponential convergence velocities and the quasi-synchronization errors are estimated, separately, with respect to different ranges of impulsive effects. At last, three numerical examples with distinct impulsive effect values are given to illustrate the effectiveness of the theoretical analysis and the control schemes.

中文翻译：

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基于脉冲效应的异构耦合神经网络分布式同步

本文致力于研究一类具有混合时变时滞的耦合异类神经网络的指数同步问题。由于神经网络的异构性，因此研究了准同步而不是完全同步。考虑到控制器会受到脉冲干扰，因此引入了分布式钉扎控制策略。通过共同应用平均脉冲间隔的概念，脉冲系统的扩展比较原理和矢量范式技术，最终获得了在耦合异构神经网络上实现指数准同步的充分条件。鉴于不同的脉冲效应在网络同步中扮演着不同的角色，通过分别讨论与脉冲效果相关的参数，分别考虑了两种不同的指数同步情况。另外，由于具有混合时变时滞的脉冲系统的扩展参数变化公式，针对不同范围的脉冲效应，分别估计了指数收敛速度和准同步误差。最后，给出了三个具有不同脉冲效应值的数值例子，以说明理论分析和控制方案的有效性。针对不同范围的脉冲效应，分别估计了指数收敛速度和准同步误差。最后，给出了三个具有不同脉冲效应值的数值例子，以说明理论分析和控制方案的有效性。针对不同范围的脉冲效应，分别估计了指数收敛速度和准同步误差。最后，给出了三个具有不同脉冲效应值的数值例子，以说明理论分析和控制方案的有效性。