一类基于忆阻器分数阶时滞神经网络的修正投影同步

张玮玮; 陈定元; 吴然超; 曹进德

doi:10.21656/1000-0887.370359

一类基于忆阻器分数阶时滞神经网络的修正投影同步

doi: 10.21656/1000-0887.370359

¹安庆师范大学数学与计算科学学院, 安徽安庆 246133;²安徽大学数学科学学院, 合肥 230039;³东南大学数学学院, 南京 210096

基金项目: 国家自然科学基金(11571016);安徽省自然科学基金(11040606M12;1608085MA14);安徽省高等学校自然科学研究重点项目(KJ2015A152);安徽省高校自然科学研究一般项目(AQKJ2014B012)

详细信息

作者简介:
张玮玮(1982—),男,讲师,硕士(通讯作者. E-mail: wwzhahu@aliyun.com);陈定元（1975—），男，副教授，硕士（E-mail: aqnu123@163.com）;吴然超(1971—),男,教授,博士,博士生导师(E-mail: rcw@ahu.edu.cn);曹进德(1963—),男,教授,博士,博士生导师,欧州科学院院士(E-mail: jdcao@seu.edu.cn).

中图分类号: O415.5
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出版历程
- 收稿日期: 2016-11-18
- 修回日期: 2017-01-24
- 刊出日期: 2018-02-15

Modified-Projective-Synchronization of Memristor-Based Fractional-Order Delayed Neural Networks

¹School of Mathematics and Computational Science, Anqing Normal University,Anqing, Anhui 246133, P.R.China;²School of Mathematical Sciences, Anhui University, Hefei 230039, P.R.China;³School of Mathematics, Southeast University, Nanjing 210096, P.R.China

Funds: The National Natural Science Foundation of China(11571016)

摘要

摘要: 基于忆阻器分数阶时滞神经网络的研究是一个热点问题.该文主要研究了基于忆阻器分数阶时滞混沌神经网络的修正投影同步.结合分数阶微分不等式, 得到了实现主动被动系统获得同步的充分条件.其研究结果更具有一般性.相应的数值模拟证实了方法的有效性.
- 分数阶 /
- 基于忆阻器神经网络 /
- 时滞 /
- 修正投影同步
Abstract: The discussion of fractional-order memristor-based neural networks with time delay is a hot topic. The modified projective synchronization of fractional-order memristor-based neural networks with time delay was investigated. By means of the fractional-order inequality, sufficient conditions for the modified projective synchronization of drive-response systems were achieved. The results obtained here are more general. The corresponding numerical simulations show the feasibility of the theoretical results.
- fractional order /
- memristor-based neural network /
- time delay /
- modified projective synchronization

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参考文献(33)

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