滨州学院学报2024,Vol.40Issue(2) :52-62.DOI:10.13486/j.cnki.1673-2618.2024.02.008

具有时变时滞的复值BAM神经网络的概周期解

The Almost Periodic Solution of Complex-valued BAM Neural Networks with Time-varying Delays

赵莉莉
滨州学院学报2024,Vol.40Issue(2) :52-62.DOI:10.13486/j.cnki.1673-2618.2024.02.008

具有时变时滞的复值BAM神经网络的概周期解

The Almost Periodic Solution of Complex-valued BAM Neural Networks with Time-varying Delays

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

研究了一类具有时变时滞的复值BAM神经网络,利用Banach空间中的不动点定理、实数集上的指数二分性,以及若干微分不等式技巧,获得了该类复值神经网络的概周期解存在、唯一,以及一致稳定的充分条件.最后,通过实例验证了所得结果的有效性与可行性.

Abstract

In this paper,a class of complex-valued BAM neural networks with time-varying delays is studied.By using the Fixed-point theorem in Banach spaces,the exponential dichotomy on the set of real numbers,and some techniques of differential inequalities,sufficient conditions for the existence,unique-ness and uniform stability of almost periodic solutions of the complex-valued neural networks are ob-tained.Finally,an example is given to verify the validity and feasibility of the results.

关键词

复值神经网络/BAM神经网络/概周期解/不动点定理/一致稳定性

Key words

complex-valued neural networks/BAM neural networks/almost periodic solution/fixed point theorem/uniform stability

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基金项目

云南省教育厅自然科学研究项目(2020J0020)

云南大学教育教学改革项目(2023Y22)

出版年

2024
滨州学院学报
滨州学院

滨州学院学报

影响因子:0.174
ISSN:1673-2618
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