• DocumentCode
    798328
  • Title

    Finite regions of attraction for feedback systems containing a single time-varying nonlinearity

  • Author

    Walker, J.A. ; McClamroch, N.H.

  • Author_Institution
    Northwestern University, Evanston, IL, USA
  • Volume
    13
  • Issue
    5
  • fYear
    1968
  • fDate
    10/1/1968 12:00:00 AM
  • Firstpage
    587
  • Lastpage
    587
  • Abstract
    Finite regions of attraction of the origin are obtained for feedback systems involving a time-varying nonlinear feedback element. One type of region is found for cases in which the nonlinearity is well known in some given neighborhood of the origin, and another is determined for the more general cases in which the nonlinearity is only known to satisfy certain "sector conditions" in a similar given neighborhood.
  • Keywords
    Nonlinear systems, time-varying; Nonlinearities; Time-varying systems, nonlinear; Asymptotic stability; Control systems; Feedback; Polynomials; Symmetric matrices; Time varying systems;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1968.1098983
  • Filename
    1098983
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=798328