• DocumentCode
    814664
  • Title

    A note on Brockett´s variational technique and a conjecture in stability theory

  • Author

    Power, Henry M. ; Tsoi, Ah-Chung

  • Author_Institution
    University of Salford, Salford, England
  • Volume
    19
  • Issue
    3
  • fYear
    1974
  • fDate
    6/1/1974 12:00:00 AM
  • Firstpage
    251
  • Lastpage
    252
  • Abstract
    A simple frequency domain approach is proposed for approximate solution of a transcendental equation encountered in Brockett´s variational technique for the stability study of a second-order nonlinear and/or time-varying system. It is conjectured that the principle on which this approach is based is valid irrespective of system order.
  • Keywords
    Asymptotic stability; Linear systems, time-varying continuous-time; Nonlinear systems, continuous-time; Nonlinear systems, time-varying; Stability; Time-varying systems, nonlinear; Variational methods; Feedback; Frequency domain analysis; Nonlinear equations; Stability; Time varying systems; Transfer functions; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1974.1100563
  • Filename
    1100563
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=814664