• DocumentCode
    797800
  • Title

    A simpler stability criterion for a class of nonlinear systems

  • Author

    Asim Sen

  • Author_Institution
    University of Manitoba, Winnipeg, Manitoba, Canada
  • Volume
    13
  • Issue
    4
  • fYear
    1968
  • fDate
    8/1/1968 12:00:00 AM
  • Firstpage
    451
  • Lastpage
    452
  • Abstract
    A simpler stability criterion is presented here that is useful for predicting limit cycles in a class of second-order non-linear control systems. The criterion is developed simply from a study of the roots of the system characteristic equation. It is shown that the limit cycle predicted by this criterion is stable if the slope of the a/b^{2} -locus at the intersection point is positive, while a negative slope indicates an unstable limit cycle.
  • Keywords
    Limit cycles; Nonlinear systems; Stability; Control systems; Error correction; Limit-cycles; Nonlinear control systems; Nonlinear equations; Nonlinear systems; Sampling methods; Stability analysis; Stability criteria; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1968.1098933
  • Filename
    1098933
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=797800