• DocumentCode
    1054341
  • Title

    Local lp-stability and local small gain theorem for discrete-time systems

  • Author

    Bourlés, Henri

  • Author_Institution
    Electr. de France, Clamart, France
  • Volume
    41
  • Issue
    6
  • fYear
    1996
  • fDate
    6/1/1996 12:00:00 AM
  • Firstpage
    903
  • Lastpage
    907
  • Abstract
    The notion of local l2-stability is defined. The relationship between this notion and Lyapunov stability is clarified. A local version of the small gain theorem is then established in the case of discrete-time systems. These results are applied to stability analysis of a nonlinear discrete-time delay system
  • Keywords
    Lyapunov methods; asymptotic stability; closed loop systems; controllability; delay systems; discrete time systems; nonlinear systems; observability; Lyapunov stability; asymptotic stability; closed loop system; controllability; discrete-time systems; local lp-stability; local small gain theorem; nonlinear system; observability; time delay system; Delay systems; Frequency domain analysis; Lyapunov method; Nonlinear systems; Stability analysis; Sufficient conditions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.506248
  • Filename
    506248
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1054341