• DocumentCode
    832455
  • Title

    A new error model for adaptive systems

  • Author

    Lin, Yuan-Hao ; Narendra, Kumpati S.

  • Author_Institution
    Yale University, New Haven, CT, USA
  • Volume
    25
  • Issue
    3
  • fYear
    1980
  • fDate
    6/1/1980 12:00:00 AM
  • Firstpage
    585
  • Lastpage
    587
  • Abstract
    A simple error model is described for both discrete and continuous time adaptive systems. The stability of the model for both bounded and unbounded inputs is analyzed for the discrete case and extended to continuous time models. It is shown that \\Delta \\phi(k)\\in I^{2} in the former case and \\phi(t)\\in L^{2} in the latter case due to the presence of a feedback signal and these in turn play an important role in the stability analysis of discrete and continuous time adaptive systems.
  • Keywords
    Adaptive control; Linear systems, time-invariant continuous-time; Linear systems, time-invariant discrete-time; Stability; Adaptive control; Adaptive systems; Computer errors; Continuous time systems; Equations; Filters; Least squares approximation; Noise cancellation; Programmable control; Stability analysis;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1980.1102339
  • Filename
    1102339