In this paper, an impulsive quaternion-valued neural networks (QVNNs) model with leakage, discrete, and distributed delays is considered. Based on the homeomorphic mapping method, Lyapunov stability theorem, and linear matrix inequality (LMI) approach, sufficient conditions for the existence, uniqueness, and global robust stability of the equilibrium point of the impulsive QVNNs are provided. A numerical example is provided to confirm the obtained results. A conclusion is presented in the end.

中文翻译：

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具有分布时滞和参数不确定性的脉冲四元数值神经网络的鲁棒稳定性分析

本文考虑具有泄漏，离散和分布式时滞的脉冲四元数值神经网络（QVNN）模型。基于同胚映射方法，Lyapunov稳定性定理和线性矩阵不等式（LMI）方法，为脉冲QVNN平衡点的存在，唯一性和全局鲁棒稳定性提供了充分的条件。提供了一个数值示例来确认所获得的结果。最后给出结论。