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
  • [21] A New Projection-Based Neural Network for Constrained Variational Inequalities
    Gao, Xing-Bao
    Liao, Li-Zhi
    IEEE TRANSACTIONS ON NEURAL NETWORKS, 2009, 20 (03): : 373 - 388
  • [22] Dynamic Neural Network Models for Time-Varying Problem Solving: A Survey on Model Structures
    Hua, Cheng
    Cao, Xinwei
    Xu, Qian
    Liao, Bolin
    Li, Shuai
    IEEE ACCESS, 2023, 11 : 65991 - 66008
  • [23] Zeroing Neural Network for Time-Varying Linear Equations With Application to Dynamic Positioning
    Dai, Jianhua
    Li, Yiwei
    Xiao, Lin
    Jia, Lei
    IEEE TRANSACTIONS ON INDUSTRIAL INFORMATICS, 2022, 18 (03) : 1552 - 1561
  • [24] On Average Values of Time-Varying Delays and a New Representation of Systems with Time-Varying Delays
    Mazenc, Frederic
    Malisoff, Michael
    2019 AMERICAN CONTROL CONFERENCE (ACC), 2019, : 3714 - 3718
  • [25] Projective synchronization of neural networks with mixed time-varying delays and parameter mismatch
    Chen, Shun
    Cao, Jinde
    NONLINEAR DYNAMICS, 2012, 67 (02) : 1397 - 1406
  • [26] Reduction Model Approach for Linear Time-Varying Systems With Delays
    Mazenc, Frederic
    Malisoff, Michael
    Niculescu, Silviu-Iulian
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (08) : 2068 - 2082
  • [27] Projective synchronization of neural networks with mixed time-varying delays and parameter mismatch
    Shun Chen
    Jinde Cao
    Nonlinear Dynamics, 2012, 67 : 1397 - 1406
  • [28] Multiple μ-stability of neural networks with unbounded time-varying delays
    Wang, Lili
    Chen, Tianping
    NEURAL NETWORKS, 2014, 53 : 109 - 118
  • [29] Design of H∞ control of neural networks with time-varying delays
    Phat, V. N.
    Trinh, H.
    NEURAL COMPUTING & APPLICATIONS, 2013, 22 : S323 - S331
  • [30] Exponential synchronization of a class of neural networks with time-varying delays
    Cheng, CJ
    Liao, TL
    Yan, JJ
    Hwang, CC
    IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2006, 36 (01): : 209 - 215
12345