Existence, learning, and replication of periodic motions in recurrent neural networks

被引:60
|
作者
Ruiz, A
Owens, DH
Townley, S
机构
[1] Univ Exeter, Ctr Syst & Control Engn, Exeter EX4 4QF, Devon, England
[2] Univ Exeter, Dept Math, Exeter EX4 4QE, Devon, England
来源
基金
英国工程与自然科学研究理事会;
关键词
Hopf bifurcation; learning systems; neural networks; nonlinear dynamics;
D O I
10.1109/72.701178
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
A class of recurrent neural networks is shown to possess a stable limit cycle. A gradient type algorithm is used to modify the parameters of the network so that it learns and replicates autonomously a time varying periodic signal. The results are applied to controlling the repetitive motion of a two-link robot manipulator.
引用
收藏
页码:651 / 661
页数:11
相关论文
共 50 条
  • [31] Classification of Hand Motions in EEG Signals using Recurrent Neural Networks
    Popov, E.
    Fomenkov, S.
    2016 2ND INTERNATIONAL CONFERENCE ON INDUSTRIAL ENGINEERING, APPLICATIONS AND MANUFACTURING (ICIEAM), 2016,
  • [32] Existence and exponential stability of periodic solution for BAM neural networks with periodic coefficients and delays
    Liu, Yanqing
    Tang, Wansheng
    NEUROCOMPUTING, 2006, 69 (16-18) : 2152 - 2160
  • [33] EXISTENCE OF PERIODIC MOTIONS OF CONSERVATIVE-SYSTEMS
    GLUCK, H
    ZILLER, W
    ANNALS OF MATHEMATICS STUDIES, 1983, (103): : 65 - 98
  • [34] Heuristic learning in recurrent neural fuzzy networks
    Ballini, R
    Gomide, F
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2002, 13 (2-4) : 63 - 74
  • [35] Convergence of diagonal recurrent neural networks' learning
    Wang, P
    Li, YF
    Feng, S
    Wei, W
    PROCEEDINGS OF THE 4TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-4, 2002, : 2365 - 2369
  • [36] Stable reinforcement learning with recurrent neural networks
    Knight J.N.
    Anderson C.
    Journal of Control Theory and Applications, 2011, 9 (3): : 410 - 420
  • [37] Existence of periodic motions of a tether trailing satellite
    Rossi, E
    Cicci, DA
    Cochran, JE
    APPLIED MATHEMATICS AND COMPUTATION, 2004, 155 (01) : 269 - 281
  • [38] Hebbian learning of context in recurrent neural networks
    Brunel, N
    NEURAL COMPUTATION, 1996, 8 (08) : 1677 - 1710
  • [39] Unsupervised learning in LSTM recurrent neural networks
    Klapper-Rybicka, M
    Schraudolph, NN
    Schmidhuber, J
    ARTIFICIAL NEURAL NETWORKS-ICANN 2001, PROCEEDINGS, 2001, 2130 : 684 - 691
  • [40] Learning Device Models with Recurrent Neural Networks
    Clemens, John
    2018 INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS (IJCNN), 2018,