青海师范大学学报(自然科学版)2024,Vol.40Issue(1) :32-39.DOI:10.16229/j.cnki.issn1001-7542.2024104

具有比例时滞和D算子的BAM神经网络概周期解的存在性与稳定性

Existence and stability of almost periodic solutions for BAM neural networks with proportional delays and operators

赵莉莉
青海师范大学学报(自然科学版)2024,Vol.40Issue(1) :32-39.DOI:10.16229/j.cnki.issn1001-7542.2024104

具有比例时滞和D算子的BAM神经网络概周期解的存在性与稳定性

Existence and stability of almost periodic solutions for BAM neural networks with proportional delays and operators

赵莉莉1
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作者信息

  • 1. 云南大学 数学与统计学院,云南 昆明 650091
  • 折叠

摘要

为了探讨一类含比例时滞和D 算子的中立型BAM神经网络的概周期解的存在性与广义指数稳定性,首先,通过构造概周期函数空间,并利用压缩不动点原理,得到确保系统概周期解存在的充分条件,其次,使用微分不等式技巧得到确保系统概周期解广义指数稳定的充分条件.发现若系统的参数满足一定的条件,那么系统的概周期解是存在的,且是广义指数稳定的,而且所得结果与比例时滞无关.所得结论推进了现有文献中的相关工作.

Abstract

In order to investigate the existence and generalized exponential stability of almost periodic solutions for a class of neutral type BAM neural networks with proportional delays and operators,firstly,by constructing a space of almost periodic functions and using the principle of compressed fixed points,sufficient conditions are obtained to ensure the existence of almost periodic solutions for the system.Final-ly,using differential inequality techniques,sufficient conditions are obtained to ensure the generalized ex-ponential stability of almost periodic solutions for the system.It was found that if the parameters of the system satisfy certain conditions,then the almost periodic solution of the system exists and is generalized exponentially stable,and the obtained results are independent of proportional delay.The conclusions ob-tained have advanced the relevant work in existing literature.

关键词

BAM神经网络/比例时滞/概周期解/中立型/稳定性

Key words

BAM neural networks/proportional delays/almost periodic solutions/neutral/stability

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基金项目

国家自然科学基金项目(11861072)

云南省教育厅自然科学基金项目(2020J0020)

出版年

2024
青海师范大学学报(自然科学版)
青海师范大学

青海师范大学学报(自然科学版)

影响因子:0.333
ISSN:1001-7542
参考文献量21
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