• DocumentCode
    3715721
  • Title

    A discrete-time strong implication-form Lyapunov function for ISS systems with respect to positive semidefinite measurement functions

  • Author

    Duc N. Tran;Christopher M. Kellett;Peter M. Dower

  • Author_Institution
    School of Electrical Engineering and Computer Science, The University of Newcastle, Callaghan, NSW 2308, Australia
  • fYear
    2015
  • Firstpage
    39
  • Lastpage
    42
  • Abstract
    In this paper, we study the notion of ISS with respect to two measurement functions for discrete-time systems. An example in previous work shows that, in the two measurement function case, the existence of an implication-form ISS-Lyapunov function does not imply ISS. Here, we define a "strong" ISS-Lyapunov function and demonstrate that its existence is equivalent to ISS with respect to two measurement functions.
  • Keywords
    "Lyapunov methods","Australia","Asymptotic stability","Standards","Stability analysis","Context","Discrete-time systems"
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (AUCC), 2015 5th Australian
  • Type

    conf

  • Filename
    7361902
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3715721