• DocumentCode
    87494
  • Title

    Further Input-to-State Stability Subtleties for Discrete-Time Systems

  • Author

    Lazar, Mircea ; Heemels, W.P.M.H. ; Teel, A.R.

  • Author_Institution
    Dept. of Electr. Eng., Eindhoven Univ. of Technol., Eindhoven, Netherlands
  • Volume
    58
  • Issue
    6
  • fYear
    2013
  • fDate
    Jun-13
  • Firstpage
    1609
  • Lastpage
    1613
  • Abstract
    This technical note considers input-to-state stability analysis of discrete-time systems using continuous Lyapunov functions. The main result reveals a relation between existence of a continuous Lyapunov function and inherent input-to-state stability on compact sets with respect to both inner and outer perturbations. If the Lyapunov function is K∞-continuous, the result applies to unbounded sets as well.
  • Keywords
    Lyapunov methods; continuous systems; discrete time systems; perturbation techniques; stability; K∞-continuous; compact set; continuous Lyapunov function; discrete-time system; inner perturbation; input-to-state stability subtlety; outer perturbation; Asymptotic stability; Cognition; Control systems; Lyapunov methods; Predictive control; Robustness; Stability analysis; Discontinuous systems; Lyapunov methods; discrete-time; input-to-state stability;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2012.2231611
  • Filename
    6376100
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=87494