Finite-time multistability of a multidirectional associative memory neural network with multiple fractionalorders based on a generalized Gronwall inequality

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成果类型：

期刊论文

作者：

Zhiguang Liu;Xiangyu Xu;Tiejun Zhou*

通讯作者：

Tiejun Zhou

作者机构：

College of Mathematics and Statistics, Hengyang Normal University, Hengyang, China

College of Information and Intelligence Science, Hunan Agricultural University, Changsha, China

Hunan Province Key Laboratory of Intelligent Agriculture Equipment, Changsha, China

[Liu Z.] College of Mathematics and Statistics, Hengyang Normal University, Hunan, Hengyang, 421008, China<&wdkj&>College of Information and Intelligence Science, Hunan Agricultural University, Hunan, Changsha, 410128, China

[Xiangyu Xu] College of Information and Intelligence Science, Hunan Agricultural University, Hunan, Changsha, 410128, China

通讯机构：

[Tiejun Zhou] C

College of Information and Intelligence Science, Hunan Agricultural University, Changsha, China<&wdkj&>Hunan Province Key Laboratory of Intelligent Agriculture Equipment, Changsha, China

语种：

英文

关键词：

Associative processing;Associative storage;Chemical activation;Fixed point arithmetic;Laplace transforms;Memory architecture;Activation functions;Associative memory neural networks;Finite-time;Finite-time multistability;Fractional order;Gaussian wavelets;Generalized gronwall inequalities;Multidirectional associative memory neural network;Multiple fractional order;Multistability;Neural networks

期刊：

Neural Computing and Applications

ISSN：

0941-0643

年：

2024

卷：

期：

页码：

13527-13549

DOI：

10.1007/s00521-024-09736-5

基金类别：

This work was supported by the Hunan Provincial Natural Science Foundations [Grant numbers 2021JJ30309 and 2023JJ50090].

机构署名：

本校为第一机构

院系归属：

数学与统计学院

摘要：

This paper addressed the finite-time multistability of a Caputo fractionalorder multidirectional associative memory neural network (FMAMNN) with multiple orders, where the fractionalorders are not limited to 0 to 1. There are three main findings. Firstly, by using Brouwer fixed point theorem, the existence conditions of multiple equilibria of FMAMNN with Gaussian-wavelet-type activation functions were obtained, and the number of equilibria is (2+s2)l, where the exponent l is determined by the number of neurons, and s is the number of segments i...

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Finite-time multistability of a multidirectional associative memory neural network with multiple fractionalorders based on a generalized Gronwall inequality

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