• DocumentCode
    358805
  • Title

    Necessary and sufficient conditions for the existence of a common quadratic Lyapunov function for M stable second order linear time-invariant systems

  • Author

    Shorten, Robert N. ; Narendra, Kumpati S.

  • Author_Institution
    Center for Syst. Sci., Yale Univ., New Haven, CT, USA
  • Volume
    1
  • Issue
    6
  • fYear
    2000
  • fDate
    36770
  • Firstpage
    359
  • Abstract
    In this paper, necessary and sufficient conditions are derived for the existence of a common quadratic Lyapunov function for M (>2) stable second order linear time-invariant systems
  • Keywords
    Lyapunov methods; eigenvalues and eigenfunctions; linear systems; matrix algebra; stability; Hurwitz matrix; eigenvalues; linear time-invariant systems; necessary condition; quadratic Lyapunov function; second order systems; sufficient condition; Artificial intelligence; Ear; Eigenvalues and eigenfunctions; Equations; Linear systems; Lyapunov method; Sufficient conditions; Switching systems; Symmetric matrices;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 2000. Proceedings of the 2000
  • Conference_Location
    Chicago, IL
  • ISSN
    0743-1619
  • Print_ISBN
    0-7803-5519-9
  • Type

    conf

  • DOI
    10.1109/ACC.2000.878913
  • Filename
    878913
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=358805