含有离散时滞及分布时滞分数阶神经网络的渐近稳定性分析

刘健; 张志信; 蒋威

doi:10.21656/1000-0887.400286

含有离散时滞及分布时滞分数阶神经网络的渐近稳定性分析

doi: 10.21656/1000-0887.400286

安徽大学数学科学学院, 合肥 230601

基金项目: 国家自然科学基金(11371027;11471015;11601003)；安徽省自然科学基金(1608085MA12)

详细信息

作者简介:
刘健(1994—)，男，硕士生(E-mail: 1916869562@qq.com)；张志信(1976—)，男，副教授，硕士生导师(通讯作者. E-mail: zhang_zhi_x@sina.com);蒋威(1959—)，男，教授，博士生导师(E-mail: jiangwei@ahu.edu.cn).

中图分类号: O175.15
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- 文章访问数: 1418
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- PDF下载量: 482
- 被引次数: 0
出版历程
- 收稿日期: 2019-09-23
- 修回日期: 2019-10-26
- 刊出日期: 2020-06-01

Asymptotic Stability Analysis of Fractional Neural Networks With Discrete Delays and Distributed Delays

School of Mathematical Sciences, Anhui University, Hefei 230601, P.R.China

Funds: The National Natural Science Foundation of China(11371027;11471015;11601003)

摘要

摘要: 研究了含有离散时滞及分布时滞的分数阶神经网络在Caputo导数意义下的渐近稳定性问题.通过构造Lyapunov函数和利用分数阶Razumikhin定理给出了含有离散时滞和分布时滞的分数阶神经网络渐近稳定性的充分条件,并给出4个例子验证了定理条件的有效性.
- 分数阶神经网络 /
- 时滞 /
- 渐近稳定性 /
- 分数阶Razumikhin方法 /
- Lyapunov函数
Abstract: The asymptotic stability of fractional-order neural networks with discrete delays and distributed delays in the sense of Caputo derivatives was studied. Through construction of the Lyapunov function and with the fractional Razumikhin theorem, sufficient conditions for asymptotic stability of fractional-order neural networks with discrete and distributed delays were given, and 4 examples were given to illustrate the validity of the proposed theorem conditions.
- fractional neural network /
- delay /
- asymptotic stability /
- fractional Razumikhin method /
- Lyapunov function

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参考文献(22)

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文章访问数: 1418
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PDF下载量: 482
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含有离散时滞及分布时滞分数阶神经网络的渐近稳定性分析

doi: 10.21656/1000-0887.400286

作者简介:
刘健(1994—)，男，硕士生(E-mail: 1916869562@qq.com)；张志信(1976—)，男，副教授，硕士生导师(通讯作者. E-mail: zhang_zhi_x@sina.com);蒋威(1959—)，男，教授，博士生导师(E-mail: jiangwei@ahu.edu.cn).

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Asymptotic Stability Analysis of Fractional Neural Networks With Discrete Delays and Distributed Delays

计量

目录

留言板

含有离散时滞及分布时滞分数阶神经网络的渐近稳定性分析

doi: 10.21656/1000-0887.400286

作者简介: 刘健(1994—)，男，硕士生(E-mail: 1916869562@qq.com)；张志信(1976—)，男，副教授，硕士生导师(通讯作者. E-mail: zhang_zhi_x@sina.com);蒋威(1959—)，男，教授，博士生导师(E-mail: jiangwei@ahu.edu.cn).

计量

出版历程

Asymptotic Stability Analysis of Fractional Neural Networks With Discrete Delays and Distributed Delays

计量

出版历程

目录

作者简介:
刘健(1994—)，男，硕士生(E-mail: 1916869562@qq.com)；张志信(1976—)，男，副教授，硕士生导师(通讯作者. E-mail: zhang_zhi_x@sina.com);蒋威(1959—)，男，教授，博士生导师(E-mail: jiangwei@ahu.edu.cn).