• DocumentCode
    3269465
  • Title

    On a problem of time-varying learning rate influence on the adaptive system dynamics

  • Author

    Tyukin, Ivan ; Van Leeuwen, Cees ; Prokhorov, Danil ; Terekhov, Valery

  • Author_Institution
    Lab. for Preceptual Dynamics, RIKEN Brain Sci. Inst., Saitama, Japan
  • Volume
    4
  • fYear
    2002
  • fDate
    10-13 Dec. 2002
  • Firstpage
    4718
  • Abstract
    We consider a special class of nonlinear adaptive systems with full-state feedback and time-varying learning or adaptation rate. For the given class of systems we introduce sufficient conditions which guarantee boundedness of system trajectories and an additional assumption to guarantee asymptotic reaching of the control goal. These conditions extend the certainty-equivalence or attainability condition for gradient adaptive rules.
  • Keywords
    adaptive systems; asymptotic stability; learning systems; nonlinear systems; state feedback; time-varying systems; adaptive system dynamics; certainty equivalence; full state feedback; gradient adaptive rules; nonlinear systems; system trajectories boundedness; time varying learning rate; Adaptive systems; Automatic control; Chaos; Control systems; Laboratories; Nonlinear dynamical systems; Stability; State feedback; Sufficient conditions; Time varying systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-7516-5
  • Type

    conf

  • DOI
    10.1109/CDC.2002.1185123
  • Filename
    1185123