Time delays are unavoidable since they are ubiquitous and may have a great impact on the performance of neural networks. Resources efficiency is a common concern in many networked systems with limited resources. This article investigates quasisynchronization of the heterogeneous neural networks with time-varying delays via event-triggered impulsive controls which combine the impulsive control and the event-triggered technique. The centralized and distributed event-triggered impulsive controls are, respectively, presented. The suitable Lyapunov functions are constructed, and the triggering functions are derived, which guarantee that not only are the synchronization errors less than a non-negative bound but also the Zeno behaviors can be eliminated. It is suggested that the distributed one has great superiority in taking up fewer resources compared with the time-triggered impulsive control. Numerical examples are proposed to verify the validity of the centralized and distributed control methods.

中文翻译：

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通过事件触发脉冲控制实现具有时变延迟的异构神经网络的准同步


时间延迟是不可避免的，因为它们无处不在，并且可能对神经网络的性能产生很大影响。资源效率是许多资源有限的网络系统中普遍关注的问题。本文通过结合脉冲控制和事件触发技术的事件触发脉冲控制研究具有时变延迟的异构神经网络的准同步。分别介绍了集中式和分布式事件触发脉冲控制。构造了合适的Lyapunov函数，并推导了触发函数，不仅保证了同步误差小于非负界，而且可以消除Zeno行为。表明分布式控制与时间触发脉冲控制相比，在占用资源较少方面具有很大的优越性。数值算例验证了集中式和分布式控制方法的有效性。