具有不确定参数的时滞惯性忆阻神经网络的同步控制及应用研究

李爽; 王震

doi:10.21656/1000-0887.460207

具有不确定参数的时滞惯性忆阻神经网络的同步控制及应用研究

doi: 10.21656/1000-0887.460207

李爽,
王震^,

山东科技大学数学与系统科学学院，山东青岛 266071

基金项目:

国家自然科学基金（面上项目）（62573274）

详细信息

作者简介:
李爽（1999—），男，硕士生(E-mail: 956782104@qq.com)；王震（1977—），男，教授，博士生导师（通信作者. E-mail: wangzhen@sdust.edu.cn）.

通讯作者:
王震（1977—），男，教授，博士生导师(通信作者. E-mail: wangzhen@sdust.edu.cn).

中图分类号: O231
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- 文章访问数: 30
- HTML全文浏览量: 6
- PDF下载量: 1
- 被引次数: 0
出版历程
- 收稿日期: 2025-11-19
- 修回日期: 2025-12-29
- 网络出版日期: 2026-10-31

Synchronization of Delayed Inertial Memristive Neural Networks With Uncertain Parameters

Li Shuang,
Wang Zhen^,

College of Mathematical and Systems Science, Shandong University of Science and Technology, Qingdao, Shandong 266071, P.R. China

Funds:

The National Science Foundation of China(62573274)

摘要

摘要: 本文研究一类具有不确定参数与混合时滞的惯性忆阻神经网络的精度预分配有限时间同步问题.通过设计事件触发控制器及事件触发条件，利用降阶法，将惯性系统转换为一阶系统，确定了转化后一阶系统的误差系统绝对值的一个上界，并借助反证法与积分法推导出了惯性系统实现精度预分配有限时间指数同步的判据，进一步利用积分不等式证明了系统不存在Zeno行为，最终通过数值算例与图像加密、解密应用验证了结果的有效性.
- 混合时滞 /
- 不确定参数 /
- 惯性忆阻神经网络 /
- 有限时间指数同步 /
- 事件触发控制器
Abstract: The issue of preassigned finite-time synchronization with accuracy for inertial memristive neural networks under uncertain parameters and mixed delays, was investigated. By the design of an event-triggered controller and the event-triggering conditions, the inertial system was transformed into a 1st-order system with the order reduction method. An upper bound for the absolute value of the error system of the transformed 1st-order system was determined. With the contradiction method and the integral method, the criteria for achieving preassigned finite-time exponential synchronization of the inertial system were derived. Furthermore, the Zeno behavior of the system was excluded through integral inequalities. Finally, the effectiveness of the results was verified via numerical examples and an image encryption-decryption application.
- mixed delay /
- uncertain parameter /
- inertial memristive neural network /
- finite-time exponential synchronization /
- event-triggered controller

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参考文献(24)

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文章访问数: 30
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具有不确定参数的时滞惯性忆阻神经网络的同步控制及应用研究

doi: 10.21656/1000-0887.460207

作者简介:
李爽（1999—），男，硕士生(E-mail: 956782104@qq.com)；王震（1977—），男，教授，博士生导师（通信作者. E-mail: wangzhen@sdust.edu.cn）.

通讯作者:
王震（1977—），男，教授，博士生导师(通信作者. E-mail: wangzhen@sdust.edu.cn).

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Synchronization of Delayed Inertial Memristive Neural Networks With Uncertain Parameters

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留言板

具有不确定参数的时滞惯性忆阻神经网络的同步控制及应用研究

doi: 10.21656/1000-0887.460207

作者简介: 李爽（1999—），男，硕士生(E-mail: 956782104@qq.com)；王震（1977—），男，教授，博士生导师（通信作者. E-mail: wangzhen@sdust.edu.cn）.

通讯作者: 王震（1977—），男，教授，博士生导师(通信作者. E-mail: wangzhen@sdust.edu.cn).

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出版历程

Synchronization of Delayed Inertial Memristive Neural Networks With Uncertain Parameters

计量

出版历程

目录

作者简介:
李爽（1999—），男，硕士生(E-mail: 956782104@qq.com)；王震（1977—），男，教授，博士生导师（通信作者. E-mail: wangzhen@sdust.edu.cn）.

通讯作者:
王震（1977—），男，教授，博士生导师(通信作者. E-mail: wangzhen@sdust.edu.cn).