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解线性变分不等式的一种时滞神经网络的稳定性分析

陈丰盈 高兴宝

陕西师范大学学报:自然科学版2012,Vol.40Issue(6):11-15,21,6.
陕西师范大学学报:自然科学版2012,Vol.40Issue(6):11-15,21,6.

解线性变分不等式的一种时滞神经网络的稳定性分析

Stability analysis for a delayed neural network to linear variational inequalities

陈丰盈 1高兴宝1

作者信息

  • 1. 陕西师范大学数学与信息科学学院,陕西西安710062
  • 折叠

摘要

Abstract

A delayed projection neural network for the linear variational inequality is considered. Based on the theory of functional differential equations and linear matrix inequality (LMI) method, the existence and uniqueness of the solution of the model is proved and a delay- dependent criteria for globally exponential stability of this network is presented by constructing appropriate Liapunov functionals. Meanwhile, the global asymptotic stability of this network with free delay are also shown under mild conditions. Finally, the performance of the model and the obtained results are illustrated by some numerical examples.

关键词

线性变分不等式/时滞投影神经网络/全局指数稳定性

Key words

linear variational inequality/delayed projection neural network/globallyexponential stability

分类

数理科学

引用本文复制引用

陈丰盈,高兴宝..解线性变分不等式的一种时滞神经网络的稳定性分析[J].陕西师范大学学报:自然科学版,2012,40(6):11-15,21,6.

基金项目

基金项目:国家自然科学基金资助项目(61273311 ()

60671063). ()

陕西师范大学学报:自然科学版

OA北大核心CSCDCSTPCD

1672-4291

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