• DocumentCode
    809459
  • Title

    Stability, singular perturbations, and the vector Liénard equation

  • Author

    Ponzo, Peter J. ; Wax, Nelson

  • Author_Institution
    University of Waterloo, Waterloo, Ontario, Canada
  • Volume
    17
  • Issue
    4
  • fYear
    1972
  • fDate
    8/1/1972 12:00:00 AM
  • Firstpage
    563
  • Lastpage
    565
  • Abstract
    The rapid rate at which solutions of the vector equation \\epsilon\\ddot{x} + R(x)dot{x} + g(x) = 0, (0 < \\epsilon \\ll 1) approach the subspace \\dot{x} = -R^{-1}(x)g(x) is obtained and the subsequent slow decay to zero is estimated.
  • Keywords
    Nonlinear systems, continuous-time; Stability; Asymptotic stability; Circuit stability; Circuit theory; Circuits and systems; Feedback loop; Mathematics; Nonlinear equations; Polynomials; Time varying systems; Vectors;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1972.1100056
  • Filename
    1100056
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=809459