• DocumentCode
    701892
  • Title

    A unifying framework for the circle criterion and other quadratic stability criteria

  • Author

    Shorten, R.N. ; Mason, O. ; O´Cairbre, F. ; Curran, P.

  • Author_Institution
    Hamilton Institute, NUI Maynooth, Co. Kildare, Ireland
  • fYear
    2003
  • fDate
    1-4 Sept. 2003
  • Firstpage
    530
  • Lastpage
    535
  • Abstract
    We present a result on the existence of a common quadratic Lyapunov function for a pair of linear timeinvariant systems. We show that this result characterises, generalises, and provides new perspectives on several well-known stability results. In particular, new time-domain formulations of the Circle Criterion and Meyer´s extension of the KYP lemma are presented.
  • Keywords
    Context; Eigenvalues and eigenfunctions; Kalman filters; Linear systems; Lyapunov methods; Stability criteria; Time-domain analysis; Common quadratic Lyapunov functions; Kalman-Yakubovich-Popov Lemma; Lur´e Systems; Stability; Switched Linear Systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    European Control Conference (ECC), 2003
  • Conference_Location
    Cambridge, UK
  • Print_ISBN
    978-3-9524173-7-9
  • Type

    conf

  • Filename
    7085010
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=701892