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：
IEEE TRANSACTIONS ON NEURAL NETWORKS | 1998年 / 9卷 / 04期
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
  • [41] Performance analysis of locally recurrent neural networks
    Cannas, B
    Cincotti, S
    Fanni, A
    Marchesi, M
    Pilo, F
    Usai, M
    COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING, 1998, 17 (5-6) : 708 - +
  • [42] Parallel implementation of non recurrent neural networks
    Calonge, T
    Alonso, L
    Ralha, R
    Sanchez, AL
    VECTOR AND PARALLEL PROCESSING - VECPAR'96, 1997, 1215 : 313 - 325
  • [43] AN EVOLUTIONARY ALGORITHM THAT CONSTRUCTS RECURRENT NEURAL NETWORKS
    ANGELINE, PJ
    SAUNDERS, GM
    POLLACK, JB
    IEEE TRANSACTIONS ON NEURAL NETWORKS, 1994, 5 (01): : 54 - 65
  • [44] Further results on controllability of recurrent neural networks
    Sontag, ED
    Qiao, Y
    SYSTEMS & CONTROL LETTERS, 1999, 36 (02) : 121 - 129
  • [45] Detection of seizure foci by recurrent neural networks
    Bates, RR
    Sun, MG
    Scheuer, ML
    Sclabassi, RJ
    PROCEEDINGS OF THE 22ND ANNUAL INTERNATIONAL CONFERENCE OF THE IEEE ENGINEERING IN MEDICINE AND BIOLOGY SOCIETY, VOLS 1-4, 2000, 22 : 1377 - 1379
  • [46] Automated Item Generation with Recurrent Neural Networks
    von Davier, Matthias
    PSYCHOMETRIKA, 2018, 83 (04) : 847 - 857
  • [47] Solar Flare Prediction with Recurrent Neural Networks
    Platts, Jill
    Reale, Michael
    Marsh, John
    Urban, Christopher
    JOURNAL OF THE ASTRONAUTICAL SCIENCES, 2022, 69 (05) : 1421 - 1440
  • [48] Nonlinear inflation forecasting with recurrent neural networks
    Almosova, Anna
    Andresen, Niek
    JOURNAL OF FORECASTING, 2023, 42 (02) : 240 - 259
  • [49] A training algorithm for partial recurrent neural networks
    Al-Faysale, MSM
    Modelling and Simulation 2004, 2004, : 350 - 354
  • [50] Irony Detection with Attentive Recurrent Neural Networks
    Huang, Yu-Hsiang
    Huang, Hen-Hsen
    Chen, Hsin-Hsi
    ADVANCES IN INFORMATION RETRIEVAL, ECIR 2017, 2017, 10193 : 534 - 540
12345