This paper mainly studies the synchronization issue of quaternion-valued fuzzy cellular neural networks (QVFCNNs) with leakage delays. To avoid non-commutativity, we decompose the QVFCNNs into an analogous real-valued system. Then, we investigate the existence of almost periodic solutions based on the Banach fixed point theorem. Also, a novel state-feedback controller is designed to guarantee the synchronization of the global exponential almost periodicity. Finally, two examples are given to illustrate the effectiveness of our results.

中文翻译：

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具有泄漏延迟的四元数值模糊细胞神经网络的几乎周期性同步

本文主要研究具有泄漏延迟的四元数值模糊细胞神经网络（QVFCNNs）的同步问题。为了避免非交换性，我们将 QVFCNN 分解为一个类似的实值系统。然后，我们基于 Banach 不动点定理研究了几乎周期解的存在性。此外，设计了一种新颖的状态反馈控制器来保证全局指数几乎周期性的同步。最后，给出了两个例子来说明我们结果的有效性。