A Delayed Projection Neural Network for Solving Linear Variational Inequalities

被引：52

作者：

Cheng, Long ^{[1
,2
]}

Hou, Zeng-Guang ^{[1
]}

Tan, Min ^{[1
]}

机构：

[1] Chinese Acad Sci, Key Lab Complex Syst & Intelligence Sci, Inst Automat, Beijing 100190, Peoples R China

[2] Chinese Acad Sci, Grad Univ, Beijing 100049, Peoples R China

来源：

IEEE TRANSACTIONS ON NEURAL NETWORKS | 2009年 / 20卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Constrained quadratic programming; linear variational inequality; projection neural network; time delay; GLOBAL ASYMPTOTIC STABILITY; QUADRATIC-PROGRAMMING PROBLEMS; EXPONENTIAL STABILITY; OPTIMIZATION PROBLEMS; DYNAMICAL-SYSTEMS; CONVERGENCE;

D O I：

10.1109/TNN.2009.2012517

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 delayed projection neural network is proposed for solving a class of linear variational inequality problems. The theoretical analysis shows that the proposed neural network is globally exponentially stable under different conditions. By the proposed linear matrix inequality (LMI) method, the monotonicity assumption on the linear variational inequality is no longer necessary. By employing Lagrange multipliers, the proposed method can resolve the constrained quadratic programming problems. Finally, simulation examples are given to demonstrate the satisfactory performance of the proposed neural network.

引用

页码：915 / 925

页数：11

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