• DocumentCode
    853980
  • Title

    Stability theory for adaptive systems: Method of averaging and persistency of excitation

  • Author

    Kosut, Robert L. ; Anderson, Brian D O ; Mareels, Iven M Y

  • Author_Institution
    Integrated Systems, Inc., Palo Alto, CA, USA and Stanford University, Stanford, CA, USA
  • Volume
    32
  • Issue
    1
  • fYear
    1987
  • fDate
    1/1/1987 12:00:00 AM
  • Firstpage
    26
  • Lastpage
    34
  • Abstract
    A method of averaging is developed for the stability analysis of linear differential equations with small time-varying coefficients which do not necessarily possess an average value. The technique is then applied to determine the stability of a linear equation which arises in the study of adaptive systems where the adaptive parameters are slowly varying. The stability conditions are stated in the frequency domain, which shows the relation between persistent excitation and unmodeled dynamics.
  • Keywords
    Adaptive control, linear systems; Linear systems, time-varying; Stability, linear systems; Time-varying systems, linear; Adaptive systems; Control systems; Convolution; Differential equations; Frequency domain analysis; Kernel; Linear systems; Output feedback; Stability analysis; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1987.1104445
  • Filename
    1104445
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=853980