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求解线性约束的区间二次规划问题的神经网络

王有刚 刘德友

运筹与管理Issue(3):30-35,6.
运筹与管理Issue(3):30-35,6.

求解线性约束的区间二次规划问题的神经网络

Neural Networks for Solving Interval Quadratic Programming Problems with Linear Constraints

王有刚 1刘德友1

作者信息

  • 1. 燕山大学 理学院,河北 秦皇岛 066004
  • 折叠

摘要

Abstract

  In this paper, based on neural network, an approach of solving interval quadratic programming prob-lems with linear constraints is proposed .By using augmented Lagrange function, a neural network for solving quadratic programming is presented .Based on Saddle point theorem , the equilibrium point of the proposed neu-ral network is proved to be equivalent to the optimal solution of the interval quadratic programming problems .The global exponential stability of the proposed neural network is analyzed in terms of a Lyapunov approach .Two illustrative examples are provided to illustrate the usefulness and the efficiency of the theoretical results .

关键词

区间二次规划/神经网络/增广拉格朗日函数/Lyapunov函数

Key words

interval quadratic programming/neural network/augmented lagrange function/lyapunov function

分类

数理科学

引用本文复制引用

王有刚,刘德友..求解线性约束的区间二次规划问题的神经网络[J].运筹与管理,2013,(3):30-35,6.

基金项目

河北省自然科学基金资助项目 ()

运筹与管理

OA北大核心CHSSCDCSCDCSSCICSTPCD

1007-3221

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