• DocumentCode
    819403
  • Title

    Periodic motion in nonlinear systems

  • Author

    Williamson, Darrell

  • Author_Institution
    University of New South Wales, N.S.W., Australia
  • Volume
    20
  • Issue
    4
  • fYear
    1975
  • fDate
    8/1/1975 12:00:00 AM
  • Firstpage
    479
  • Lastpage
    486
  • Abstract
    In this paper it is shown how some basic ideas from system theory and differential geometry can be used to establish some new results on the existence of periodic motion in automomous feedback systems. The conditions are expressed in terms of the frequency response characteristic of the open-loop system and certain general properties of the non-linearities.
  • Keywords
    Nonlinear systems, continuous-time; Australia; Feedback; Forward contracts; Frequency response; Geometry; Linear systems; Nonlinear systems; Stability; Sufficient conditions; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1975.1101026
  • Filename
    1101026
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=819403