四元数值神经网络的规定时间/固定时间同步：一种不分解的方法

IF 2.1 3区数学 Q1 MATHEMATICS, APPLIED

Mathematical Methods in the Applied Sciences Pub Date : 2025-02-11 DOI:10.1002/mma.10788

Binzi Yin, Shiguo Peng

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引用次数: 0

摘要

本文设计了一种新的控制律，用于实现具有时变延迟的四元数值神经网络（QVNNs）的规定时间（PAT）和固定时间（FXT）同步。与现有的一些方法相比，所设计的控制器可以同时实现PAT和FXT同步；即无需事先对FXT控制进行研究，即可保证PAT的收敛速率。此外，为了保证PAT和FXT的同步，控制器可以在1范数或2范数下保持一致，而这里不需要分解技术。最后，通过数值算例说明了所提控制策略的可行性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Prescribed-Time/Fixed-Time Synchronization of Quaternion-Valued Neural Networks: A Method Without Decomposition

In this paper, a novel control law is designed for achieving prescribed-time (PAT) and fixed-time (FXT) synchronization of quaternion-valued neural networks (QVNNs) with time-varying delays. Compared with some existing methods, the designed controller can realize the PAT and FXT synchronization simultaneously; that is, the PAT converge rate can be guaranteed without prior research on FXT control. Moreover, ensuring the PAT and FXT synchronization, the controller can be consistent under 1- or 2-norm, while the decomposition technique is not required here. Finally, some numerical examples are given to illustrate the feasibility of our proposed control strategy.

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来源期刊

Mathematical Methods in the Applied Sciences 数学-应用数学

CiteScore

4.90

自引率

6.90%

发文量

798

审稿时长

6 months

期刊介绍： Mathematical Methods in the Applied Sciences publishes papers dealing with new mathematical methods for the consideration of linear and non-linear, direct and inverse problems for physical relevant processes over time- and space- varying media under certain initial, boundary, transition conditions etc. Papers dealing with biomathematical content, population dynamics and network problems are most welcome. Mathematical Methods in the Applied Sciences is an interdisciplinary journal: therefore, all manuscripts must be written to be accessible to a broad scientific but mathematically advanced audience. All papers must contain carefully written introduction and conclusion sections, which should include a clear exposition of the underlying scientific problem, a summary of the mathematical results and the tools used in deriving the results. Furthermore, the scientific importance of the manuscript and its conclusions should be made clear. Papers dealing with numerical processes or which contain only the application of well established methods will not be accepted. Because of the broad scope of the journal, authors should minimize the use of technical jargon from their subfield in order to increase the accessibility of their paper and appeal to a wider readership. If technical terms are necessary, authors should define them clearly so that the main ideas are understandable also to readers not working in the same subfield.