A Discrete-time Recurrent Neural Network with Global Exponential Stability for Constrained Linear Variational Inequalities

被引：0
作者：
Liu Qingshan [1 ]
Yang Wankou [1 ]
机构：
[1] Southeast Univ, Sch Automat, Nanjing 210096, Jiangsu, Peoples R China
来源：
PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE | 2012年
基金：
中国国家自然科学基金;
关键词：
Discrete-time recurrent neural network; Globally exponentially stable; Linear variational inequalities; QUADRATIC-PROGRAMMING PROBLEMS; OPTIMIZATION PROBLEMS; SUBJECT; DESIGN;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, a discrete-time recurrent neural network with global exponential stability is proposed for solving constrained linear variational inequalities. Compared with the existing neural networks for linear variational inequalities, the proposed neural network in this paper has lower model complexity with only one-layer structure. The global exponential stability of the neural network can be guaranteed under some mild conditions. Simulation results show the performance and characteristics of the proposed neural network.
引用
收藏
页码：3296 / 3301
页数：6
相关论文
共 30 条
  • [1] [Anonymous], 1993, NEURAL NETWORKS OPTI
  • [2] [Anonymous], 2007, Finite-dimensional variational inequalities and complementarity problems
  • [3] Generalized neural network, for nonsmooth nonlinear programming problems
    Forti, M
    Nistri, P
    Quincampoix, M
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2004, 51 (09) : 1741 - 1754
  • [4] A novel neural network for variational inequalities with linear and nonlinear constraints
    Gao, XB
    Liao, LZ
    Qi, LQ
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS, 2005, 16 (06): : 1305 - 1317
  • [5] A New Projection-Based Neural Network for Constrained Variational Inequalities
    Gao, Xing-Bao
    Liao, Li-Zhi
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS, 2009, 20 (03): : 373 - 388
  • [6] Glowinski R., 1981, Numerical Analysis of Variational Inequalities
  • [7] FINITE-DIMENSIONAL VARIATIONAL INEQUALITY AND NONLINEAR COMPLEMENTARITY-PROBLEMS - A SURVEY OF THEORY, ALGORITHMS AND APPLICATIONS
    HARKER, PT
    PANG, JS
    [J]. MATHEMATICAL PROGRAMMING, 1990, 48 (02) : 161 - 220
  • [8] Design of general projection neural networks for solving monotone linear variational inequalities and linear and quadratic optimization problems
    Hu, Xiaolin
    Wang, Jun
    [J]. IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2007, 37 (05): : 1414 - 1421
  • [9] Solving pseudomonotone variational inequalities and pseudoconvex optimization problems using the projection neural network
    Hu, Xiaolin
    Wang, Jun
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS, 2006, 17 (06): : 1487 - 1499
  • [10] An Improved Dual Neural Network for Solving a Class of Quadratic Programming Problems and Its k-Winners-Take-All Application
    Hu, Xiaolin
    Wang, Jun
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS, 2008, 19 (12): : 2022 - 2031
123