This paper deals with the problem of globally exponential synchronization and bipartite synchronization of coupled neural networks with impulsive interactions. Impulsive interaction means that a number of neural networks only communicate with each other at impulsive instants, while the array of neural networks are independent from each other at the remaining time. The advantage of the scheme is that communication cost can be largely reduced when only discrete communication is required. Moreover the communication links between nodes can be either positive or negative at impulsive instants. Using the Lyapunov method combined with some mathematical analysis and average impulsive interval, some efficient criteria are obtained to guarantee synchronization of impulsive coupled neural networks. Finally, the validity of our theoretical results is demonstrated by two numerical examples.

中文翻译：

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耦合神经网络数组中的脉冲交互驱动同步

本文研究了具有脉冲相互作用的耦合神经网络的全局指数同步和二部同步的问题。脉冲交互意味着许多神经网络仅在脉冲瞬间相互通信，而神经网络的阵列在其余时间彼此独立。该方案的优点在于，当仅需要离散通信时，可以大大降低通信成本。而且，节点之间的通信链路在脉冲瞬间可以是正的或负的。利用Lyapunov方法，结合一些数学分析和平均脉冲间隔，获得了一些有效的准则来保证脉冲耦合神经网络的同步。最后，