A New Neural Network for Solving Nonlinear Programming Problems

被引:0
作者
Gao, Yun [1 ]
Xu, Xianyun [1 ]
Yang, Yongqing [1 ]
机构
[1] Jiangnan Univ, Sch Sci, Wuxi 214122, Peoples R China
来源
ADVANCES IN NEURAL NETWORKS - ISNN 2011, PT I | 2011年 / 6675卷
关键词
asymptotical stability; neural network; nonlinear programming; OPTIMIZATION PROBLEMS; LINEAR CONSTRAINTS; SUBJECT;
D O I
暂无
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 is proposed to solve nonlinear convex programming problems. The proposed neural network is shown to be asymptotically stable in the sense of Lyapunov. Comparing with the existing neural networks, the proposed neural network has fewer state variables and simpler architecture. Numerical examples show that the proposed network is feasible and efficient.
引用
收藏
页码:565 / 571
页数:7
相关论文
共 23 条
[1]  
[Anonymous], 1982, ORDINARY DIFFERENTIA
[2]  
[Anonymous], 1993, Neural networks for optimization and signal processing
[3]  
Avriel M., 2003, NONLINEAR PROGRAMMIN
[4]  
Bazaraa M. S., 2006, NONLINEAR PROGRAMMIN
[5]   A new nonlinear neural network for solving quadratic programming problems [J].
Effati, S ;
Baymani, M .
APPLIED MATHEMATICS AND COMPUTATION, 2005, 165 (03) :719-729
[6]   A novel neural network for nonlinear convex programming [J].
Gao, XB .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2004, 15 (03) :613-621
[7]  
HOPFIELD JJ, 1985, BIOL CYBERN, V52, P141
[8]   Solving pseudomonotone variational inequalities and pseudoconvex optimization problems using the projection neural network [J].
Hu, Xiaolin ;
Wang, Jun .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2006, 17 (06) :1487-1499
[9]   Applications of the general projection neural network in solving extended linear-quadratic programming problems with linear constraints [J].
Hu, Xiaolin .
NEUROCOMPUTING, 2009, 72 (4-6) :1131-1137
[10]   NEURAL NETWORKS FOR NONLINEAR-PROGRAMMING [J].
KENNEDY, MP ;
CHUA, LO .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (05) :554-562