具有时间延迟的非相同离散时间分数阶四元数值神经网络的拉格朗日同步化

IF 2.6 3区数学

Computational and Applied Mathematics Pub Date : 2024-09-04 DOI:10.1007/s40314-024-02904-2

Mingfang Zhao, Hong-Li Li, Juanping Yang, Long Zhang

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引用次数: 0

摘要

本文主要研究具有时间延迟的非同调离散时间分数阶四元数神经网络（DFQNN）的拉格朗日同步问题。首先，利用四元数符号函数的定义和运算原理建立了一个新的不等式。接着，为了实现拉格朗日同步，设计了一个状态反馈控制器。然后，通过利用 Lyapunov 方法和分数差分理论以及四元数特性，得出了一些保证非相同 DFQNNs 拉格朗日同步的准则。最后，通过数值模拟验证了理论结果的正确性和可行性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

$Lagrange synchronization of nonidentical discrete-time fractional-order quaternion-valued neural networks with time delays$

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Lagrange synchronization of nonidentical discrete-time fractional-order quaternion-valued neural networks with time delays

This paper is devoted to the study of Lagrange synchronization of nonidentical discrete-time fractional-order quaternion-valued neural networks (DFQNNs) with time delays. First, a new inequality is established by using the definition and operational principles of quaternion sign function. Next, in order to achieve Lagrange synchronization, a state feedback controller is designed. And then, some criteria are derived to guarantee Lagrange synchronization of nonidentical DFQNNs by employing Lyapunov method and fractional difference theory as well as quaternion properties. Finally, the validity and feasibility of the theoretical results are verified by numerical simulations.

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来源期刊

Computational and Applied Mathematics MATHEMATICS, APPLIED-

自引率

11.50%

发文量

352

期刊介绍： Computational & Applied Mathematics began to be published in 1981. This journal was conceived as the main scientific publication of SBMAC (Brazilian Society of Computational and Applied Mathematics). The objective of the journal is the publication of original research in Applied and Computational Mathematics, with interfaces in Physics, Engineering, Chemistry, Biology, Operations Research, Statistics, Social Sciences and Economy. The journal has the usual quality standards of scientific international journals and we aim high level of contributions in terms of originality, depth and relevance.