莱维噪声驱动的延迟神经网络的随机固定时间同步

IF 2.1 3区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Systems & Control Letters Pub Date : 2024-06-18 DOI:10.1016/j.sysconle.2024.105839

Chao Li , Xiaofeng Xu , Ming Liu

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引用次数: 0

摘要

本文主要研究通过混合延迟实现随机蜂窝神经网络（SCNN）的定时同步。我们在 SCNN 中考虑的随机扰动不仅包括白噪声，还包括 Lévy 噪声。通过利用不等式和李亚普诺夫理论，建立了确保由列维噪声驱动的 SCNN 固定时间同步的新标准。沉降时间的估算公式与以往文献中发现的公式不同。此外，通过设计适当的控制策略，利用新定理讨论了通过 Lévy 噪声实现 SCNN 的定时同步，并获得了实现 SCNN 定时同步的充分条件。最后，还提供了一个数值示例，以说明我们所证明的结果的有效性。

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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The stochastic fixed-time synchronization of delays neural networks driven by Lévy noise

This paper focuses on the fixed-time synchronization of stochastic cellular neural networks (SCNNs) via mixed delays. The stochastic disturbances we considered in SCNNs include not only white noise but also Lévy noise firstly. By utilizing inequality and Lyapunov theory , new criteria ensuring fixed-time synchronization of SCNNs driven by Lévy noise are established. The estimation formula of settling time differs from those discovered in previous literature. Besides, the fixed-time synchronization of SCNNs via Lévy noise has been discussed by using a new theorem by designing appropriate control strategies, and adequate conditions are attained to realize the fixed-time synchronization of SCNNs. In the end, a numerical example is provided to illustrate the validity of the results we proved.

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来源期刊

Systems & Control Letters 工程技术-运筹学与管理科学

CiteScore

4.60

自引率

3.80%

发文量

144

审稿时长

6 months

期刊介绍： Founded in 1981 by two of the pre-eminent control theorists, Roger Brockett and Jan Willems, Systems & Control Letters is one of the leading journals in the field of control theory. The aim of the journal is to allow dissemination of relatively concise but highly original contributions whose high initial quality enables a relatively rapid review process. All aspects of the fields of systems and control are covered, especially mathematically-oriented and theoretical papers that have a clear relevance to engineering, physical and biological sciences, and even economics. Application-oriented papers with sophisticated and rigorous mathematical elements are also welcome.