• DocumentCode
    832383
  • Title

    Frequency-domain condition for the existence of a Lyapunov functional for the problem of Lurie

  • Author

    Byrne, P.C. ; O´Reilly, N.

  • Author_Institution
    University College, Dublin, Ireland
  • Volume
    25
  • Issue
    3
  • fYear
    1980
  • fDate
    6/1/1980 12:00:00 AM
  • Firstpage
    555
  • Lastpage
    557
  • Abstract
    A sufficient condition is presented for the existence of a Lyapunov functional of the type quadratic form plus integral of the nonlinearity. It is expressed in the frequency domain and takes account of both sector and slope restrictions on the nonlinear element.
  • Keywords
    Lyapunov functions; Nonlinear systems, continuous-time; Control systems; Eigenvalues and eigenfunctions; Frequency domain analysis; Laplace equations; Nonlinear equations; Stability; Sufficient conditions; Symmetric matrices;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1980.1102331
  • Filename
    1102331
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=832383