A new delayed projection neural network for solving quadratic programming problems with equality and inequality constraints

被引:14
|
作者
Sha, Chunlin [1 ]
Zhao, Hongyong [1 ]
Ren, Fengli [1 ]
机构
[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Peoples R China
基金
中国国家自然科学基金;
关键词
Projection neural network; Quadratic programming; Positive semidefinite; Time delay; Globally exponentially stable; LINEAR CONSTRAINTS; PROBLEMS SUBJECT; STABILITY; EQUATIONS;
D O I
10.1016/j.neucom.2015.05.006
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 delayed projection neural network is presented for solving quadratic programming problems subject to equality and inequality constraints. Compared with the existing neural networks for solving such problems, the proposed neural network has fewer neurons and a one-layer architecture. Further, we demonstrate the existence and uniqueness of the continuous solution. By using differential inequality technique, the new neural network is shown to be globally exponentially convergent to optimal solution. Finally, recurring to the numerical method, simulation results with some applications show the effectiveness of the proposed neural network. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码:1164 / 1172
页数:9
相关论文
共 50 条
  • [1] A new neural network for solving quadratic programming problems with equality and inequality constraints
    Yang, Yongqing
    Cao, Jinde
    Xu, Xianyun
    Hu, Manfeng
    Gao, Yun
    [J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 2014, 101 : 103 - 112
  • [2] A New Delayed Projection Neural Network for Solving Quadratic Programming Problems
    Huang, Banan
    Zhang, Huaguang
    Wang, Zhanshan
    Dong, Meng
    [J]. 2010 INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS IJCNN 2010, 2010,
  • [3] A new delayed projection neural network for solving quadratic programming problems subject to linear constraints
    Niu, Jiuxiao
    Liu, Deyou
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2012, 219 (06) : 3139 - 3146
  • [4] Solving quadratic programming problems by delayed projection neural network
    Yang, Yongqing
    Cao, Jinde
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS, 2006, 17 (06): : 1630 - 1634
  • [5] A delayed Lagrangian network for solving quadratic programming problems with equality constraints
    Liu, Qingshan
    Wang, Jun
    Cao, Jinde
    [J]. ADVANCES IN NEURAL NETWORKS - ISNN 2006, PT 1, 2006, 3971 : 369 - 378
  • [6] 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
  • [7] Recurrent neural network for solving quadratic programming problems with equality constraints
    Wang, J.
    [J]. Electronics Letters, 1992, 28 (14): : 1345 - 1347
  • [8] RECURRENT NEURAL NETWORK FOR SOLVING QUADRATIC-PROGRAMMING PROBLEMS WITH EQUALITY CONSTRAINTS
    WANG, J
    [J]. ELECTRONICS LETTERS, 1992, 28 (14) : 1345 - 1347
  • [9] 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
  • [10] A Lower Order Recurrent Neural Network for Solving Higher Order Quadratic Programming Problems with Equality Constraints
    Liao, Wudai
    Wang, Jiangfeng
    [J]. INTERNATIONAL JOINT CONFERENCE ON COMPUTATIONAL SCIENCES AND OPTIMIZATION, VOL 1, PROCEEDINGS, 2009, : 176 - 178