Solving linear variational inequalities by projection neural network with time-varying delays

被引：20
|
作者：
Cheng, Long [1 ]
Hou, Zeng-Guang [1 ]
Tan, Min [1 ]
机构：
[1] Chinese Acad Sci, Inst Automat, Key Lab Complex Syst & Intelligence Sci, Beijing 100190, Peoples R China
来源：
PHYSICS LETTERS A | 2009年 / 373卷 / 20期
基金：
中国国家自然科学基金;
关键词：
Variational inequality; Neural networks; Delay; QUADRATIC-PROGRAMMING PROBLEMS;
D O I：
10.1016/j.physleta.2009.03.027
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A projection neural network with time-varying delays is proposed for solving linear variational inequalities. By the theory of functional differential equation and the linear matrix inequality technique, the proposed neural network is proved to be globally exponentially stable. The obtained results complement and extend the previously known work. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码：1739 / 1743
页数：5
相关论文
共 50 条
  • [31] Dynamics of neural networks with variable coefficients and time-varying delays
    Jiang, Haijun
    Teng, Zhidong
    NEURAL NETWORKS, 2006, 19 (05) : 676 - 683
  • [32] Exponential Stability of Neural Networks with Time-Varying Delays and Impulses
    Akca, Haydax
    Covachev, Valery
    Altmayer, Kumud Singh
    SIXTH INTERNATIONAL SYMPOSIUM ON NEURAL NETWORKS (ISNN 2009), 2009, 56 : 153 - +
  • [33] Dynamical analysis of impulsive neural networks with time-varying delays
    Xiang, Laisheng
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2012, 35 (13) : 1564 - 1569
  • [34] Design of H∞ control of neural networks with time-varying delays
    V. N. Phat
    H. Trinh
    Neural Computing and Applications, 2013, 22 : 323 - 331
  • [35] A novel neural network for variational inequalities with linear and nonlinear constraints
    Gao, XB
    Liao, LZ
    Qi, LQ
    IEEE TRANSACTIONS ON NEURAL NETWORKS, 2005, 16 (06): : 1305 - 1317
  • [36] Globally exponential stability for neural networks with time-varying delays
    Shi, Lin
    Zhu, Hong
    Zhong, Shouming
    Hou, Liyuan
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (21) : 10487 - 10498
  • [37] Global exponential stability of periodic solution of neural network with variable coefficients and time-varying delays
    Tan, Mingjia
    Tan, Yong
    APPLIED MATHEMATICAL MODELLING, 2009, 33 (01) : 373 - 385
  • [38] Extended Dissipative Analysis for Neural Networks With Time-Varying Delays
    Lee, Tae H.
    Park, Myeong-Jin
    Park, Ju H.
    Kwon, Oh-Min
    Lee, Sang-Moon
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2014, 25 (10) : 1936 - 1941
  • [39] Adaptive robust convergence of neural networks with time-varying delays
    Xiong, Wenjun
    Song, Laizhong
    Cao, Jinde
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2008, 9 (04) : 1283 - 1291
  • [40] Relaxed passivity conditions for neural networks with time-varying delays
    Zhang, Baoyong
    Xu, Shengyuan
    Lam, James
    NEUROCOMPUTING, 2014, 142 : 299 - 306
12345