基于广义Halanay不等式的延迟神经网络有限时间同步

IF 8.7 1区计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS

IEEE Transactions on Systems Man Cybernetics-Systems Pub Date : 2025-04-21 DOI:10.1109/TSMC.2025.3559474

Yue Chen;Song Zhu;Yan Li;Xiaoyang Liu;Shiping Wen

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引用次数: 0

摘要

本文研究了一类分别具有有界和无界时变延迟的递归神经网络（nn）的有限时间（F-T）同步问题。首先，以广义Halanay不等式的形式给出了两个新的F-T稳定性引理。其次，基于得到的引理，给出了两种不同Lyapunov函数下考虑的神经网络的一些简单易用的F-T同步准则。本文获得的结果大大减少了系统约束，因此更适用。最后通过三个数值算例验证了本文理论结果的有效性。

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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Finite-Time Synchronization for Delayed NNs via Generalized Halanay Inequalities

This article examines the finite-time (F-T) synchronization issue for a class of recurrent neural networks (NNs) that have, respectively, bounded and unbounded time-varying delays. First, two novel F-T stability lemmas are presented in the form of generalized Halanay inequalities. Second, based on the obtained lemmas, some simple and easy-to-use F-T synchronization criteria are rendered for the considered NNs under two different Lyapunov functions. The results obtained in this article greatly reduce system constraints and are therefore more applicable. The validity of the theoretical results derived in this article is finally checked using three numerical instances.

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来源期刊

IEEE Transactions on Systems Man Cybernetics-Systems AUTOMATION & CONTROL SYSTEMS-COMPUTER SCIENCE, CYBERNETICS

CiteScore

18.50

自引率

11.50%

发文量

812

审稿时长

6 months

期刊介绍： The IEEE Transactions on Systems, Man, and Cybernetics: Systems encompasses the fields of systems engineering, covering issue formulation, analysis, and modeling throughout the systems engineering lifecycle phases. It addresses decision-making, issue interpretation, systems management, processes, and various methods such as optimization, modeling, and simulation in the development and deployment of large systems.