机电工程技术2025，Vol.54Issue(9)：18-21,103,5.DOI:10.3969/j.issn.1009-9492.2025.00020
含有传输时滞的分数阶中立型神经网络的Mittag-Leffler稳定性研究
Mittag-Leffler Stability Study of Fractional-order Neutral-type Neural Networks with Transmission Delay
摘要
Abstract
Compared to traditional neural networks,fractional-order neural networks exhibit enhanced information storage and data processing capabilities due to their unique mathematical structure and computational mechanisms.They have achieved superior performance in fields such as associative memory,pattern recognition,and brain-like neuroscience.Signal transmission and switching will inevitably lead to time delays in systems,therefore,the existing fractional-order neural network model is optimized by introducing factors such as transmission delay,distributed delay,and neutral-type delay.This leads to the development of a generalized fractional-order neutral-type neural network model incorporating transmission delay.Based on fractional calculus operations,Lyapunov functional theory,and Halanay-type lemma,in conjunction with methods such as linear matrix inequalities and free-weight matrices,the Mittag-Leffler stability problem of this model is thoroughly analyzed,and stability criteria for the model is deduced.The feasibility of the obtained result is further verified through numerical example.关键词
稳定性/分数阶中立型神经网络/李雅普诺夫泛函/传输时滞/线性矩阵不等式Key words
stability/fractional neutral-type neural networks/Lyapunov Krasovskii functional/transmission delay/linear matrix inequality分类
信息技术与安全科学引用本文复制引用
周吴昊,刘国权..含有传输时滞的分数阶中立型神经网络的Mittag-Leffler稳定性研究[J].机电工程技术,2025,54(9):18-21,103,5.基金项目
人工智能四川省重点实验室开放基金(2023RYY02) （2023RYY02）
西南科技大学特殊环境机器人技术四川省重点实验室开放课题(23kftk06) （23kftk06）
东华理工大学研究生创新专项基金(DHYC-202441,DHYC-202443) （DHYC-202441,DHYC-202443）
