A high-performance neural network for solving linear and quadratic programming problems

被引：65
|
作者：
Wu, XY
Xia, YS
Li, JM
Chen, WK
机构：
[1] UNIV ILLINOIS,DEPT MECH ENGN,CHICAGO,IL 60607
[2] UNIV ILLINOIS,DEPT ELECT ENGN & COMP SCI,CHICAGO,IL 60607
来源：
IEEE TRANSACTIONS ON NEURAL NETWORKS | 1996年 / 7卷 / 03期
关键词：
D O I：
10.1109/72.501722
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Two classes of high-performance neural networks for solving linear and quadratic programming problems are given. We prove that the new system converges globally to the solutions of the linear and quadratic programming problems, In a neural network, network parameters are usually not specified. The proposed models can overcome numerical difficulty caused by neural networks with network parameters and obtain desired approximate solutions of the linear and quadratic programming problems.
引用
收藏
页码：643 / 651
页数：9
相关论文
共 50 条
  • [41] Memristor Neural Networks for Linear and Quadratic Programming Problems
    Di Marco, Mauro
    Forti, Mauro
    Pancioni, Luca
    Innocenti, Giacomo
    Tesi, Alberto
    [J]. IEEE TRANSACTIONS ON CYBERNETICS, 2022, 52 (03) : 1822 - 1835
  • [42] On the recurrent neural networks for solving general quadratic programming problems
    Mladenov, V
    [J]. NEUREL 2004: SEVENTH SEMINAR ON NEURAL NETWORK APPLICATIONS IN ELECTRICAL ENGINEERING, PROCEEDINGS, 2004, : 5 - 9
  • [43] Global exponential stability of discrete-time recurrent neural network for solving quadratic programming problems subject to linear constraints
    Liu, Qingshan
    Cao, Jinde
    [J]. NEUROCOMPUTING, 2011, 74 (17) : 3494 - 3501
  • [44] A Nonlinear Projection Neural Network for Solving Interval Quadratic Programming Problems and Its Stability Analysis
    Wu, Huaiqin
    Shi, Rui
    Qin, Leijie
    Tao, Feng
    He, Lijun
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2010, 2010
  • [45] A Gradient-Based Neural Network Method for Solving Strictly Convex Quadratic Programming Problems
    Nazemi, Alireza
    Nazemi, Masoomeh
    [J]. COGNITIVE COMPUTATION, 2014, 6 (03) : 484 - 495
  • [46] A Gradient-Based Neural Network Method for Solving Strictly Convex Quadratic Programming Problems
    Alireza Nazemi
    Masoomeh Nazemi
    [J]. Cognitive Computation, 2014, 6 : 484 - 495
  • [47] A Recurrent Neural Network for Solving Complex-Valued Quadratic Programming Problems with Equality Constraints
    Liao, Wudai
    Wang, Jiangfeng
    Wang, Junyan
    [J]. ADVANCES IN SWARM INTELLIGENCE, PT 2, PROCEEDINGS, 2010, 6146 : 321 - 326
  • [48] A novel neural network for solving convex quadratic programming problems subject to equality and inequality constraints
    Huang, Xinjian
    Lou, Yang
    Cui, Baotong
    [J]. NEUROCOMPUTING, 2016, 214 : 23 - 31
  • [49] A new delayed projection neural network for solving quadratic programming problems with equality and inequality constraints
    Sha, Chunlin
    Zhao, Hongyong
    Ren, Fengli
    [J]. NEUROCOMPUTING, 2015, 168 : 1164 - 1172
  • [50] LINEAR AND QUADRATIC-PROGRAMMING NEURAL NETWORK ANALYSIS
    MAA, CY
    SHANBLATT, MA
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS, 1992, 3 (04): : 580 - 594
12345