求解线性变分不等式的一种新的时滞投影神经网络  

A Novel Delayed Projection Neural Network for Solving Linear Variational Inequalities

作　　者：陈丰盈[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《咸阳师范学院学报》2010年第6期5-8,共4页Journal of Xianyang Normal University

基　　金：国家自然科学基金项目(6067106310902062)

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。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.

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 

分 类 号：O231[理学—运筹学与控制论]