一类具有不确定参数的比例时滞忆阻神经网络的全局指数同步

郭昱贤; 周立群

doi:10.21656/1000-0887.460008

一类具有不确定参数的比例时滞忆阻神经网络的全局指数同步

doi: 10.21656/1000-0887.460008

郭昱贤,
周立群^,

天津师范大学数学科学学院，天津 300387

基金项目:

国家自然科学基金 11902221

国家自然科学基金 12101452

天津市自然科学基金 24JCYBJC00470

详细信息

作者简介:
郭昱贤(2002—)，男，硕士生(E-mail: 2512752592@qq.com)

通讯作者:
周立群(1972—)，女，教授，博士，硕士生导师(通信作者. E-mail: zhouliqun20000@163.com)

中图分类号: O175.13
计量
- 文章访问数: 99
- HTML全文浏览量: 48
- PDF下载量: 14
- 被引次数: 0
出版历程
- 收稿日期: 2025-01-15
- 修回日期: 2025-02-24
- 刊出日期: 2026-01-01

Global Exponential Synchronization of a Class of Memristive Neural Networks With Proportional Delays and Uncertain Parameters

GUO Yuxian,
ZHOU Liqun^,

School of Mathematical Sciences, Tianjin Normal University, Tianjin 300387, P.R.China

摘要

摘要: 研究了一类具有不确定参数的比例时滞忆阻神经网络的全局指数同步.首先，建立了驱动-响应系统的误差系统.其次，通过引入指数函数，设计了自适应控制器，根据系统切换跳的特征将误差系统分为四种情况进行分类讨论，构造适当的Lyapunov泛函，并结合均值不等式，得到了保证所研究系统全局指数同步的判定准则.同时考虑了全局指数同步退化为全局渐近同步的情况.最后，通过数值算例及仿真验证了所得准则的有效性.
- 比例时滞 /
- 忆阻神经网络 /
- 全局指数同步 /
- 全局渐近同步 /
- 自适应控制器
Abstract: The global exponential synchronization of a class of memristive neural networks with proportional delays and uncertain parameters was studied. Firstly, the error system of the drive-response systems was established. Secondly, the exponential function was introduced and an adaptive controller was designed, to divide the error system into 4 cases according to the switching characteristics of the system, then the proper Lyapunov functional was constructed and combined with the mean value inequality, and the global exponential synchronization criterion for the studied system was obtained. Meanwhile, the case of global exponential synchronization degenerating into global asymptotic synchronization was considered. Finally, the effectiveness of the obtained criterion was verified through a numerical example and simulation.
- proportional delay /
- memristive neural network /
- global exponential synchronization /
- global asymptotic synchronization /
- adaptive controller

HTML全文

图 1 不加控制器时系统(19)和(20)的相图比较

Figure 1. Comparison of phase trajectories of systems (19) and (20) without controllers

下载: 全尺寸图片幻灯片

图 2 不加控制器、加自适应控制器以及加反馈控制器时系统(19)和(20)的时间响应曲线比较

Figure 2. Comparison of the time response curves of systems (19) and (20) without controllers, with feedback controllers and with adaptive controllers

下载: 全尺寸图片幻灯片

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