A new neural network for solving nonlinear convex programs with linear constraints

被引:7
|
作者
Yang, Yongqing [1 ]
Gao, Yun [1 ]
机构
[1] Jiangnan Univ, Sch Sci, Minist Educ, Key Lab Adv Proc Control Light Ind, Wuxi 214122, Peoples R China
基金
中国国家自然科学基金;
关键词
Convergence; Stability; Neural network; Convex program; INEQUALITY CONSTRAINTS; OPTIMIZATION PROBLEMS; ACTIVATION FUNCTION; SUBJECT; EQUALITY;
D O I
10.1016/j.neucom.2011.04.026
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, a new neural network was presented for solving nonlinear convex programs with linear constrains. Under the condition that the objective function is convex, the proposed neural network is shown to be stable in the sense of Lyapunov and globally converges to the optimal solution of the original problem. Several numerical examples show the effectiveness of the proposed neural network. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码:3079 / 3083
页数:5
相关论文
共 50 条
  • [41] A new projection neural network for linear and convex quadratic second-order cone programming
    Zhang, Yaling
    Liu, Hongwei
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2022, 42 (04) : 2925 - 2937
  • [42] A novel method to handle inequality constraints for convex programming neural network
    Yuancan H.
    Neural Processing Letters, 2002, 16 (1) : 17 - 27
  • [43] A novel neural network for nonlinear convex programming
    Gao, XB
    IEEE TRANSACTIONS ON NEURAL NETWORKS, 2004, 15 (03): : 613 - 621
  • [44] A new relaxation method for mathematical programs with nonlinear complementarity constraints
    Li, Jianling
    Huang, Xiaojin
    Jian, Jinbao
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 20 (03) : 548 - 565
  • [45] A Delayed Projection Neural Network for Solving Linear Variational Inequalities
    Cheng, Long
    Hou, Zeng-Guang
    Tan, Min
    IEEE TRANSACTIONS ON NEURAL NETWORKS, 2009, 20 (06): : 915 - 925
  • [46] A Neural Network Approach for Solving Weighted Nonlinear Complementarity Problems
    Xie, Shuilian
    Yang, Zhen-Ping
    Xu, Hongru
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2024, : 581 - 598
  • [47] A recurrent neural network with exponential convergence for solving convex quadratic program and related linear piecewise equations
    Xia, YS
    Feng, G
    Wang, J
    NEURAL NETWORKS, 2004, 17 (07) : 1003 - 1015
  • [48] A neural network for solving nonlinear programming problems
    Chen, KZ
    Leung, Y
    Leung, KS
    Gao, XB
    NEURAL COMPUTING & APPLICATIONS, 2002, 11 (02) : 103 - 111
  • [49] Neural network for solving convex quadratic bilevel programming problems
    He, Xing
    Li, Chuandong
    Huang, Tingwen
    Li, Chaojie
    NEURAL NETWORKS, 2014, 51 : 17 - 25
  • [50] A neural network for solving a convex quadratic bilevel programming problem
    Lv, Yibing
    Chen, Zhong
    Wan, Zhongping
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 234 (02) : 505 - 511