分数阶延迟四元数值模糊神经网络的有限时间自适应同步

IF 2.6 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Modelling and Control Pub Date : 2023-06-19 DOI:10.15388/namc.2023.28.32505

Shenglong Chen, Hongli Li, Leimin Wang, Cheng Hu, Haijun Jiang, Zhiming Li

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引用次数: 3

摘要

基于直接四元数方法，研究了分数阶延迟四元数值模糊神经网络的有限时间自适应同步问题。首先，建立了一个有用的分数阶微分不等式，为研究FAS提供了一种有效的方法。然后设计了两种新颖的四元数值自适应控制策略。利用我们新提出的不等式，分数阶微积分的基本知识，归约到荒谬性，以及四元数和模糊逻辑的几种不等式技术，导出了FODQVFNN的几个充分的FAS准则。此外，还估计了FAS的稳定时间，该时间与所考虑系统的阶数和初始值以及控制器参数有关。最后，通过数值模拟验证了所获得的FAS准则的有效性。

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Finite-time adaptive synchronization of fractional-order delayed quaternion-valued fuzzy neural networks

Based on direct quaternion method, this paper explores the finite-time adaptive synchronization (FAS) of fractional-order delayed quaternion-valued fuzzy neural networks (FODQVFNNs). Firstly, a useful fractional differential inequality is created, which offers an effective way to investigate FAS. Then two novel quaternion-valued adaptive control strategies are designed. By means of our newly proposed inequality, the basic knowledge about fractional calculus, reduction to absurdity as well as several inequality techniques of quaternion and fuzzy logic, several sufficient FAS criteria are derived for FODQVFNNs. Moreover, the settling time of FAS is estimated, which is in connection with the order and initial values of considered systems as well as the controller parameters. Ultimately, the validity of obtained FAS criteria is corroborated by numerical simulations.

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来源期刊

Nonlinear Analysis-Modelling and Control MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

3.80

自引率

10.00%

发文量

审稿时长

9.6 months

期刊介绍： The scope of the journal is to provide a multidisciplinary forum for scientists, researchers and engineers involved in research and design of nonlinear processes and phenomena, including the nonlinear modelling of phenomena of the nature. The journal accepts contributions on nonlinear phenomena and processes in any field of science and technology. The aims of the journal are: to provide a presentation of theoretical results and applications; to cover research results of multidisciplinary interest; to provide fast publishing of quality papers by extensive work of editors and referees; to provide an early access to the information by presenting the complete papers on Internet.