This paper deals with the existence and global exponential stability of almost periodic solutions for quaternion‐valued high‐order Hopfield neural networks with delays by a direct approach. Based on the contraction mapping principle, sufficient conditions are derived to ensure the existence and uniqueness of almost periodic solutions for the networks under consideration. By constructing a suitable Lyapunov function, the global exponential stability criterion of the almost periodic solution are derived. Finally, two numerical examples are given to illustrate the main results of this paper.

中文翻译：

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四元数值高阶Hopfield神经网络几乎周期解的存在性和全局指数稳定性

本文通过直接方法研究了具有时滞的四元数值高阶Hopfield神经网络的几乎周期解的存在性和全局指数稳定性。基于收缩映射原理，得出了足够的条件以确保所考虑网络的几乎周期解的存在和唯一性。通过构造合适的Lyapunov函数，导出了几乎周期解的全局指数稳定性准则。最后，给出两个数值例子来说明本文的主要结果。