This article examines the existence of the unique piecewise pseudo almost periodic for impulsive fuzzy cellular neural networks by using the contraction mapping principle and piecewise pseudo almost periodic function theory. Further, sufficient certain conditions for their global exponential stability are produced through the use of differential inequality and generalized Gronwall–Bellman inequality. Our results are new and complement some previously known ones. Two examples and their numerical simulations are performed to ensure our theoretical results.

中文翻译：

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混合时滞脉冲模糊细胞神经网络的分段伪概周期解

本文利用压缩映射原理和分段伪几乎周期函数理论，研究了脉冲模糊细胞神经网络唯一的分段伪几乎周期的存在性。此外，通过使用微分不等式和广义Gronwall-Bellman不等式，为其全局指数稳定性提供了足够的条件。我们的结果是新的，并且补充了一些先前已知的结果。通过两个例子及其数值模拟来确保我们的理论结果。