• DocumentCode
    2269396
  • Title

    A sufficient condition for the existence of a common Lyapunov function for two second order linear systems

  • Author

    Shorten, R.N. ; Narendra, K.S.

  • Author_Institution
    Center for Syst. Sci., Yale Univ., New Haven, CT, USA
  • Volume
    4
  • fYear
    1997
  • fDate
    10-12 Dec 1997
  • Firstpage
    3521
  • Abstract
    A sufficient condition for the existence of a common Lyapunov function for two stable linear second order systems x=Aix, A i∈{Al, A2} is presented, namely that the matrix pencil A1+γA2 have distinct negative eigenvalues for all γ∈(0,∞). The implications of this result for the stability of more general switching systems are briefly discussed
  • Keywords
    Lyapunov methods; asymptotic stability; eigenvalues and eigenfunctions; linear systems; matrix algebra; Lyapunov function; asymptotic stability; matrix pencil; negative eigenvalues; second order linear systems; sufficient condition; switching systems; Asymptotic stability; Eigenvalues and eigenfunctions; Equations; Interconnected systems; Linear systems; Lyapunov method; Sufficient conditions; Switching systems; Symmetric matrices; Time varying systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
  • Conference_Location
    San Diego, CA
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-4187-2
  • Type

    conf

  • DOI
    10.1109/CDC.1997.652394
  • Filename
    652394
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2269396