• DocumentCode
    696200
  • Title

    Stability conditions for discrete 2D switching systems, based on a multiple Lyapunov function

  • Author

    Benzaouia, Abdellah ; Hmamed, Abdelaziz ; Tadeo, Fernando

  • Author_Institution
    Fac. of Sci. Semlalia, Univ. Cadi Ayyad, Marrakech, Morocco
  • fYear
    2009
  • fDate
    23-26 Aug. 2009
  • Firstpage
    2706
  • Lastpage
    2710
  • Abstract
    This paper derives sufficient conditions for the asymptotic stability of those 2D switching systems than can be represented by Roesser models in a discrete grid. Preliminary results are based on using common Lyapunov functions, giving LMI conditions for stability. To reduce the conservativeness of this preliminary approach, it is proposed in this paper to use a multiple Lyapunov function, which also gives LMI conditions. Two examples are provided to illustrate the results.
  • Keywords
    Lyapunov methods; asymptotic stability; discrete systems; time-varying systems; Roesser models; asymptotic stability; discrete 2D switching systems; discrete grid; multiple Lyapunov function; stability conditions; Asymptotic stability; Lyapunov methods; Mathematical model; Power system stability; Stability analysis; Switches; Switching systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (ECC), 2009 European
  • Conference_Location
    Budapest
  • Print_ISBN
    978-3-9524173-9-3
  • Type

    conf

  • Filename
    7074815
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=696200