Quantized Projective Synchronization of Delayed Fractional Order Uncertain Quaternion-Valued Neural Networks Via Direct Method

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Mathematical Methods in the Applied Sciences Pub Date : 2025-08-03 DOI:10.1002/mma.70019

Wewei Zhang, Hongyong Zhao, Chunlin Sha, Jinde Cao

引用次数: 0

Abstract

This paper treats the projective synchronization (PS) in finite time for a class of delayed fractional order uncertain quaternion-valued neural networks (DFOUQVNNs) based on event triggered quantized control (ETQC). In addition, to consider more general models, uncertainty and time delay terms are introduced into the FOQVNNs. Different from using decomposition method, the considered model is treated as a single entity. By designing a suitable Lyapunov function and applying inequality skills, sufficient criteria are derived to ensure PS in finite time of DFOUQVNNs. Furthermore, the setting time is estimated and the Zeno behavior of the system is excluded under the proposed scheme. Finally, the effectiveness of the theoretical results is validated by using a numerical example.

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延迟分数阶不确定四元数神经网络的直接量化投影同步

本文研究了一类基于事件触发量化控制（ETQC）的延迟分数阶不确定四元数神经网络（DFOUQVNNs）在有限时间内的投影同步问题。此外，为了考虑更一般的模型，在foqvnn中引入了不确定性和时滞项。与使用分解方法不同，所考虑的模型被视为单个实体。通过设计合适的Lyapunov函数和应用不等式技巧，得到了保证dfouqvnn在有限时间内具有PS的充分准则。此外，该方案还估计了系统的凝固时间，并排除了系统的芝诺行为。最后，通过算例验证了理论结果的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.