• DocumentCode
    700680
  • Title

    Stability indices of infinite-dimensional discrete inclusions

  • Author

    Wirth, F.

  • Author_Institution
    Inst. for Dynamical Syst., Univ. of Bremen, Bremen, Germany
  • fYear
    1997
  • fDate
    1-7 July 1997
  • Firstpage
    1480
  • Lastpage
    1485
  • Abstract
    For discrete inclusions in Banach spaces we study stability questions. The main result states that for discrete inclusions on a reflexive Banach space various characteristic exponents characterizing different concepts of stability coincide. Using this result it is shown that the convexification of an exponentially stable difference inclusions is exponentially stable. It is examined to what extent these results can be carried over to the time-varying case.
  • Keywords
    Banach spaces; asymptotic stability; discrete time systems; multidimensional systems; exponentially stable difference inclusions; infinite-dimensional discrete inclusions; reflexive Banach space; stability indices; time-varying case; Control theory; Discrete-time systems; Manganese; Stability criteria; Time-varying systems; Trajectory; Stability; discrete time; infinite dimensional systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (ECC), 1997 European
  • Conference_Location
    Brussels
  • Print_ISBN
    978-3-9524269-0-6
  • Type

    conf

  • Filename
    7082310