• DocumentCode
    404025
  • Title

    Results on converse Lyapunov theorems for difference inclusions

  • Author

    Kellett, Christopher M. ; Teel, Andrew R.

  • Author_Institution
    Dept. of Electr. & Electron. Eng., Melbourne Univ., Vic., Australia
  • Volume
    4
  • fYear
    2003
  • fDate
    9-12 Dec. 2003
  • Firstpage
    3627
  • Abstract
    We present new results on the existence of Lyapunov functions for discrete-time systems described by difference inclusions that are stable with respect to two measures. Specifically, the existence of a discrete-time Lyapunov function is equivalent to the robustness of the stability property. We present several cases where this robustness holds.
  • Keywords
    Lyapunov methods; discrete time systems; stability; Lyapunov theorems; difference inclusions; discrete time Lyapunov function; discrete time systems; robustness; stability; Asymptotic stability; Difference equations; Differential equations; Lyapunov method; Motion measurement; Nonlinear equations; Robust control; Robustness;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-7924-1
  • Type

    conf

  • DOI
    10.1109/CDC.2003.1271711
  • Filename
    1271711
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=404025