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求解线性变分不等式的一种新的时滞投影神经网络
引用本文:陈丰盈.求解线性变分不等式的一种新的时滞投影神经网络[J].咸阳师范学院学报,2010,25(6).
作者姓名:陈丰盈
作者单位:陕西师范大学数学与信息科学学院;
摘    要:考虑了线性变分不等式问题.提出了求解它的一种新的时滞投影神经网络模型.利用泛函微分方程理论,证明了新模型解的存在惟一性,并给出了时滞投影神经网络全局指数稳定的充分条件.用数值模拟说明提出的神经网络的性能.

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

A Novel Delayed Projection Neural Network for Solving Linear Variational Inequalities
CHEN Feng-ying.A Novel Delayed Projection Neural Network for Solving Linear Variational Inequalities[J].Journal of Xianyang Normal University,2010,25(6).
Authors:CHEN Feng-ying
Institution:CHEN Feng-ying(College of Mathematics and Information Science,Shaanxi Normal University,Xi'an,Shaanxi 710062,China)
Abstract:In this paper,we consider the linear variational inequality problem,a novel delayed projection neural network model for solving it is presented.By the theory of functional differential equation,the existence and uniqueness of the solution of the new model has been proved,some sufficient conditions ensuring the global exponential stability of the proposed delayed projection neural network are given,too.Besides,the limited numerical simulations show the characteristics of the new model.
Keywords:linear variational inequalities  delayed projection neural network  global exponential stability  
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