This paper addresses the synchronization of multiple fractional-order recurrent neural networks (RNNs) with time-varying delays under event-triggered communications. Based on the assumption of the existence of strong connectivity or a spanning tree in the communication digraph, two sets of sufficient conditions are derived for achieving event-triggered synchronization. Moreover, an additional condition is derived to preclude Zeno behaviors. As a generalization of existing results, the criteria herein are also applicable to the event-triggered synchronization of multiple integer-order RNNs with or without delays. Two numerical examples are elaborated to illustrate the new results.

中文翻译：

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具有时变延迟的多个分数阶递归神经网络的事件触发同步


本文解决了事件触发通信下具有时变延迟的多个分数阶递归神经网络（RNN）的同步问题。基于通信有向图中存在强连通性或生成树的假设，导出了实现事件触发同步的两组充分条件。此外，还导出了一个附加条件来排除芝诺行为。作为现有结果的推广，本文的标准也适用于有或没有延迟的多个整数阶 RNN 的事件触发同步。详细阐述了两个数值示例来说明新结果。