A recurrent neural network with exponential convergence for solving convex quadratic program and related linear piecewise equations

被引：162

作者：

Xia, YS

Feng, G

Wang, J

机构：

[1] City Univ Hong Kong, Dept Mfg Engn & Engn Management, Hong Kong, Hong Kong, Peoples R China

[2] Chinese Univ Hong Kong, Dept Automat & Comp Aided Engn, Hong Kong, Hong Kong, Peoples R China

来源：

NEURAL NETWORKS | 2004年 / 17卷 / 07期

关键词：

neural network; finite-time convergence; exponential convergence; piecewise equation; convex quadratic program;

D O I：

10.1016/j.neunet.2004.05.006

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper presents a recurrent neural network for solving strict convex quadratic programming problems and related linear piecewise equations. Compared with the existing neural networks for quadratic program, the proposed neural network has a one-layer structure with a low model complexity. Moreover, the proposed neural network is shown to have a finite-time convergence and exponential convergence. Illustrative examples further show the good performance of the proposed neural network in real-time applications. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：1003 / 1015

页数：13

共 17 条

[1] [Anonymous], 1997, SIGNAL PROCESSING SY
[2] Bazaraa M. S., 2013, NONLINEAR PROGRAMMIN
[3] RESOLVING MANIPULATOR REDUNDANCY UNDER INEQUALITY CONSTRAINTS
CHENG, FT
CHEN, TH
SUN, YY
[J]. IEEE TRANSACTIONS ON ROBOTICS AND AUTOMATION, 1994, 10 (01): : 65 - 71
[4] Cichocki A., 1993, Neural Networks for Optimization and Signal Processing
[5] Golden R.M., 1996, Mathematical Methods for Neural Network Analysis and Design
[6] NEURAL NETWORKS FOR NONLINEAR-PROGRAMMING
KENNEDY, MP
CHUA, LO
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (05): : 554 - 562
[7] Kinderlehrer D., 1980, An Introduction to Variational Inequalities and Their Applications
[8] ON A GENERALIZATION OF A NORMAL MAP AND EQUATION
PANG, JS
YAO, JC
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1995, 33 (01) : 168 - 184
[9] On the synthesis of brain-state-in-a-box neural models with application to associative memory
Sevrani, F
Abe, K
[J]. NEURAL COMPUTATION, 2000, 12 (02) : 451 - 472
[10] EXPONENTIAL STABILITY AND A SYSTEMATIC SYNTHESIS OF A NEURAL NETWORK FOR QUADRATIC MINIMIZATION
SUDHARSANAN, SI
SUNDARESHAN, MK
[J]. NEURAL NETWORKS, 1991, 4 (05) : 599 - 613

← 1 2 →