分数阶中立型四元数值神经网络的同步
Synchronization of Fractional Order Neutral Quaternion Numerical Neural Networks
DOI: 10.12677/AAM.2023.129378, PDF,    科研立项经费支持
作者: 王 丽*, 赵晴晴：云南财经大学统计与数学学院，云南 昆明
关键词: 分数阶；四元数值；中立型神经网络；Fractional Order； Quaternion Numerical； Neutral Neural Networks
摘要: 本文研究了具有分数阶中立型四元数值神经网络的同步问题。首先构造了李雅普诺夫函数，其次根据利普希茨条件和不等式原理也称为李雅普诺夫直接法导出了同步的条件。最后给出了一个数值例子，验证了其满足定理所需的条件。
Abstract: This article investigates the synchronization problem of a fractional order neutral type quaternion numerical neural network. Firstly, the Lyapunov function was constructed, and secondly, the syn-chronization conditions were derived based on the Lipschitz condition and inequality principle, also known as the Lyapunov direct method. Finally, a numerical example was provided to verify the con-ditions required for the theorem to be satisfied.
文章引用：王丽, 赵晴晴. 分数阶中立型四元数值神经网络的同步[J]. 应用数学进展, 2023, 12(9): 3842-3850. https://doi.org/10.12677/AAM.2023.129378

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