基于Lévy噪声的混合时滞中立型神经网络自适应同步研究

顾凤蛟; 高燕; 任丽佳; 马健武; 陈玲琦

doi:10.21656/1000-0887.400350

基于Lévy噪声的混合时滞中立型神经网络自适应同步研究

doi: 10.21656/1000-0887.400350

上海工程技术大学电子电气工程学院, 上海 201600

基金项目: 国家自然科学基金（61503238）

详细信息

作者简介:
顾凤蛟（1996—），女，硕士生（E-mail: 2548746829@qq.com）;高燕（1985—），女，讲师，博士，硕士生导师（通讯作者. E-mail: gy@sues.edu.cn）.

中图分类号: O231
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- 文章访问数: 1078
- HTML全文浏览量: 242
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- 被引次数: 0
出版历程
- 收稿日期: 2019-11-21
- 修回日期: 2020-09-29
- 刊出日期: 2020-11-01

Adaptive Synchronization of Neutral Neural Networks With Mixed Delays and Lévy Noises

School of Electronic and Electrical Engineering, Shanghai University of Engineering Science, Shanghai 201600, P.R.China

Funds: The National Natural Science Foundation of China（61503238）

摘要

摘要: 研究了带有Lévy噪声的混合时滞随机中立型神经网络的自适应同步问题.Lévy噪声的提出，使得网络里的噪声干扰由Gauss过程和Poisson点过程两部分组成，同时包含了连续的扰动和不连续的突触噪声.通过建立新的Lyapunov泛函，使用It?s公式以及不等式分析方法，得到误差系统的稳定性条件，给出了反馈控制器的更新率，从而进一步保证响应系统和驱动系统的自适应同步.最后，提供了一个数值实例，通过MATLAB相关仿真，说明前文所得结果的正确性.
- 中立型神经网络 /
- Lévy噪声 /
- 自适应同步 /
- 混合时滞
Abstract: The problem of feedback controllers designed to achieve adaptive synchronization was investigated for neutral neural networks with mixed delays and Lévy noises. The noise disturbance in the neural network model was driven by the Lévy stochastic process consisting of the Gaussian process and the Poisson point process, and involving continuous disturbances as well as discontinuous synaptic noises. Based on the Lyapunov functional, the It?s formula and the inequality analysis technique, the criteria to ensure adaptive stabilization for the error system were built. Moreover, the update rate of the feedback controller was given to enhance the adaptive synchronization of the response system and the drive system. Results of a simulation example show the effectiveness of the theoretical analysis.
- neutral neural network /
- Lévy noise /
- adaptive synchronization /
- mixed delays

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参考文献(21)

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文章访问数: 1078
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基于Lévy噪声的混合时滞中立型神经网络自适应同步研究

doi: 10.21656/1000-0887.400350

作者简介:
顾凤蛟（1996—），女，硕士生（E-mail: 2548746829@qq.com）;高燕（1985—），女，讲师，博士，硕士生导师（通讯作者. E-mail: gy@sues.edu.cn）.

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Adaptive Synchronization of Neutral Neural Networks With Mixed Delays and Lévy Noises

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基于Lévy噪声的混合时滞中立型神经网络自适应同步研究

doi: 10.21656/1000-0887.400350

作者简介: 顾凤蛟（1996—），女，硕士生（E-mail: 2548746829@qq.com）;高燕（1985—），女，讲师，博士，硕士生导师（通讯作者. E-mail: gy@sues.edu.cn）.

计量

出版历程

Adaptive Synchronization of Neutral Neural Networks With Mixed Delays and Lévy Noises

计量

出版历程

目录

作者简介:
顾凤蛟（1996—），女，硕士生（E-mail: 2548746829@qq.com）;高燕（1985—），女，讲师，博士，硕士生导师（通讯作者. E-mail: gy@sues.edu.cn）.