分数阶延迟BAM神经网络有限时间内事件触发同步的新方法

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.10804

Shangbin Xu, Hai Zhang, Renyu Ye, Xiang Wu, Jinde Cao

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引用次数: 0

摘要

研究一类具有时滞的双向联想记忆神经网络的有限时间同步问题。首先，利用分数阶微积分的性质和一般不等式技术，严格推导了一个新的分数阶FTS引理，它扩展了已有的许多FTS引理。随后，设计了事件触发控制（ETC）机制，并借助新建立的FTS引理，给出了bamnn中实现FTS的充分条件。最后，通过算例验证了所得结果的准确性。

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A New Method for Event-Triggered Synchronization of Fractional-Order Delayed BAM Neural Networks in Finite Time

This article aims to study the finite-time synchronization (FTS) problem of a class of bidirectional associative memory neural networks (BAMNNs) with time delays. Initially, leveraging properties of fractional calculus and common inequality techniques, a novel fractional FTS lemma is rigorously derived, which extends many existing FTS lemmas. Subsequently, an event-triggered control (ETC) mechanism is devised, and with the aid of the newly established FTS lemma, sufficient conditions for achieving FTS in BAMNNs are formulated. Ultimately, the accuracy of the derived results is verified by a computational illustration.

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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.