Almost periodic synchronization of quaternion-valued fuzzy cellular neural networks with leakage delays

Abstract

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.