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

This paper mainly studies the synchronization issue of quaternion-valued fuzzy cellular neural networks (QVFCNNs) with leak-age 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 de-signed to guarantee the synchronization of the global exponential almost periodicity. Finally, two examples are given to illustrate the effectiveness of our results. (c) 2021 Elsevier B.V. All rights reserved.

Automated summary

This paper studies the synchronization issue of quaternion-valued fuzzy cellular neural networks (QVFCNNs) with leakage delays by decomposing them into an analogous real-valued system and investigating the existence of almost periodic solutions based on the Banach fixed point theorem. A novel state-feedback controller is designed to ensure the synchronization of global exponential almost periodicity. The effectiveness of the results is illustrated through two examples.