时间尺度上具有泄漏时滞的一般BAM神经网络概周期解的存在性和指数稳定性

董延寿, 韩艳, 代婷婷

doi:10.13371/j.cnki.chin.q.j.m.2022.02.008

数学季刊 >

2022 , Vol. 37 >Issue 2: 189 - 202

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2022.02.008

时间尺度上具有泄漏时滞的一般BAM神经网络概周期解的存在性和指数稳定性

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School of Mathematics and Statistics, Zhaotong University,

DONG Yan-shou (1985-), male, native of Zhaotong, Yunnan, lecturer of Zhaotong University, engages in differential equations and its applications; HAN Yan (1986-), female, native of Huanggang, Hubei, associate professor of Zhaotong University, engages in nonlinear functional analysis; DAI Ting-ting (1986-), female, native of Qingyang, Gansu, lecturer of Zhaotong University, engages in neural networks.

收稿日期: 2022-01-30

网络出版日期: 2022-06-21

基金资助

Partially supported by the Special Basic Cooperative Research Programs of Yunnan
Provincial Undergraduate Universities’ Association (Grant No. 202101BA070001-045).

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Existence and Exponential Stability of Almost Periodic Solutions to General BAM Neural Networks with Leakage Delays on Time Scales

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School of Mathematics and Statistics, Zhaotong University,

Received date: 2022-01-30

Online published: 2022-06-21

Supported by

Partially supported by the Special Basic Cooperative Research Programs of Yunnan
Provincial Undergraduate Universities’ Association (Grant No. 202101BA070001-045).

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摘要

In this paper, the existence of almost periodic solutions to general BAM neural
networks with leakage delays on time scales is first studied, by using the exponential
dichotomy method of linear differential equations and fixed point theorem. Then, the
exponential stability of almost periodic solutions to such BAM neural networks on time
scales is discussed by utilizing differential inequality. Finally, an example is given to
support our results in this paper and the results are up-to-date.

关键词： ; Almost periodic solution; Neural network; Time scale; Leakage delay;
Existence and exponential stability

本文引用格式

董延寿, 韩艳, 代婷婷 . 时间尺度上具有泄漏时滞的一般BAM神经网络概周期解的存在性和指数稳定性[J]. 数学季刊, 2022 , 37(2) : 189 -202 . DOI: 10.13371/j.cnki.chin.q.j.m.2022.02.008

Abstract

Key words： ; Almost periodic solution; Neural network; Time scale; Leakage delay;
Existence and exponential stability

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