基于Gronwall积分不等式的比例时滞神经网络稳定性分析

数学物理学报 ›› 2020, Vol. 40 ›› Issue (3): 824-832.

• 论文 • 上一篇

基于Gronwall积分不等式的比例时滞神经网络稳定性分析

黄星寿(),罗日才*(),王五生()

^{河池学院计数学与统计学院广西宜州 546300}

收稿日期:2018-12-24 出版日期:2020-06-26 发布日期:2020-07-15
通讯作者: 罗日才 E-mail:hxs509@163.com;luoricai@163.com;wang4896@126.com
作者简介:黄星寿, E-mail:hxs509@163.com|王五生, E-mail:wang4896@126.com
基金资助:
国家自然科学基金(11961021);河池学院高层次人才科研项目(2019GCC005)

Stability Analysis for a Class Neural Network with Proportional Delay Based on the Gronwall Integral Inequality

Xingshou Huang(),Ricai Luo*(),Wusheng Wang()

^{Department of Mathematics and Statistics, Hechi University, Guangxi Yizhou 546300}

Received:2018-12-24 Online:2020-06-26 Published:2020-07-15
Contact: Ricai Luo E-mail:hxs509@163.com;luoricai@163.com;wang4896@126.com
Supported by:
the NSFC(11961021);the Hechi University Research Fund for Advanced Talents(2019GCC005)

摘要/Abstract

摘要：

在时滞神经网络的研究中，人们通常是利用构造李亚普诺夫函数来分析系统的稳定性.该文研究了一类具有放缩时滞的神经网络，利用Gronwall积分不等式研究了该放缩时滞神经网络的稳定性问题，得出该系统全局指数稳定性的新判据，并通过实例仿真验证了结果的有效性和可行性.

关键词: Gronwall积分不等式, 神经网络, 比例时滞, 指数稳定性

Abstract:

When people study time-delay neural network, structuring Lyapunov function is usually used to analyze the stability of the system. In this paper, we study the stability of a class of neural network with proportional delay by using Gronwall integral inequalities, and obtain the new criterion of global exponential stability of Hopfield neural network and its proportional delay system. Finally, we demonstrate the validity of the results by an numerical example.

Key words: Gronwall integral inequalities, Hopfield neural networks, Proportional delay, Exponential stability

中图分类号:

O175

黄星寿,罗日才,王五生. 基于Gronwall积分不等式的比例时滞神经网络稳定性分析[J]. 数学物理学报, 2020, 40(3): 824-832.

Xingshou Huang,Ricai Luo,Wusheng Wang. Stability Analysis for a Class Neural Network with Proportional Delay Based on the Gronwall Integral Inequality[J]. Acta mathematica scientia,Series A, 2020, 40(3): 824-832.

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基于Gronwall积分不等式的比例时滞神经网络稳定性分析

Stability Analysis for a Class Neural Network with Proportional Delay Based on the Gronwall Integral Inequality

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