Abstract This article investigates quaternion-valued fuzzy cellular neural networks with delays. With the help of fixed point theory, exponential dichotomy of linear equations and related inequalities, some new sufficient conditions which guarantee the existence and global exponentially stability of pseudo almost periodic solutions to quaternion-valued fuzzy cellular neural networks with delays are established. Computer simulations are carried out to check the practicability of the obtained main results. So far, no researchers have investigated this topic. The derived results of this article are completely innovative and complement some earlier investigations to some degree.

中文翻译：

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时滞四元数模糊细胞神经网络伪近周期解的新结果

摘要 本文研究了具有延迟的四元数值模糊细胞神经网络。借助不动点理论、线性方程组的指数二分法和相关的不等式，建立了一些新的充分条件，以保证具有时滞的四元数值模糊细胞神经网络伪近周期解的存在性和全局指数稳定性。进行计算机模拟以检查所获得的主要结果的实用性。到目前为止，还没有研究人员研究过这个话题。本文得出的结果完全具有创新性，在一定程度上补充了早期的一些研究。