• DocumentCode
    821142
  • Title

    Conditions for the absence of limit cycles

  • Author

    Cook, Peter A.

  • Author_Institution
    University of Manchester Institute of Science and Technology, Manchester, England
  • Volume
    21
  • Issue
    3
  • fYear
    1976
  • fDate
    6/1/1976 12:00:00 AM
  • Firstpage
    339
  • Lastpage
    345
  • Abstract
    Sufficient conditions are derived for the nonoccurrence of limit cycles in a class of nonlinear multivariable feedback systems, where the nonlinearities are single-valued, time-invariant, and slope-restricted. The conditions involve the transfer function matrix of the linear part of the system, and can be interpreted graphically in terms of Nyquist diagrams.
  • Keywords
    Limit cycles; Nonlinear systems, continuous-time; Stability; Control systems; Eigenvalues and eigenfunctions; Feedback loop; Fourier transforms; Frequency conversion; Limit-cycles; Stability analysis; Sufficient conditions; Transfer functions; Vectors;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1976.1101205
  • Filename
    1101205
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=821142