天津师范大学学报(自然科学版)2024,Vol.44Issue(3) :7-12.DOI:10.19638/j.issn1671-1114.20240302

一类比例时滞神经网络的全局多项式同步性

Global polynomial synchronization of a class of proportional delay neural networks

万言 周立群
天津师范大学学报(自然科学版)2024,Vol.44Issue(3) :7-12.DOI:10.19638/j.issn1671-1114.20240302

一类比例时滞神经网络的全局多项式同步性

Global polynomial synchronization of a class of proportional delay neural networks

万言 1周立群1
扫码查看

作者信息

  • 1. 天津师范大学数学科学学院,天津 300387
  • 折叠

摘要

以一类比例时滞神经网络作为驱动-响应系统,研究该驱动-响应系统的全局多项式同步性.通过选择反馈控制器,构造Lyapunov泛函,运用不等式分析技巧,得到了该系统全局多项式同步性的判定准则.该准则以矩阵不等式的形式给出,易于应用计算机软件验证.最后,通过一个数值算例及仿真验证同步性判定准则的正确性.

Abstract

Taking a class of proportional delay neural networks as the drive-response systems,the global polynomial synchro-nization of the drive-response systems is studied.By using a feedback controller,constructing an appropriate Lyapunov func-tional and using analysis techniques such as mean value inequality,a criterion for determining the global polynomial synchro-nization of the studied drive-response systems is obtained.The criterion is displayed in the form of matrix inequality,which is easy to be verified with computer software.Finally,the correctness of the synchronization criterion is verified by a numerical example and its simulations.

关键词

比例时滞/神经网络/多项式同步性/Lyapunov泛函

Key words

proportional delay/neural networks/polynomial synchronization/Lyapunov functional

引用本文复制引用

出版年

2024
天津师范大学学报(自然科学版)
天津师范大学

天津师范大学学报(自然科学版)

CSTPCD北大核心
影响因子:0.311
ISSN:1671-1114
参考文献量10
段落导航相关论文