• DocumentCode
    33793
  • Title

    Relaxed Persistent Flow/Jump Conditions for Uniform Global Asymptotic Stability

  • Author

    Prieur, Christophe ; Teel, A.R. ; Zaccarian, Luca

  • Author_Institution
    Gipsa-Lab., St. Martin d´Hères, France
  • Volume
    59
  • Issue
    10
  • fYear
    2014
  • fDate
    Oct. 2014
  • Firstpage
    2766
  • Lastpage
    2771
  • Abstract
    For hybrid systems, sufficient conditions are derived for the uniform global asymptotic stability of a given closed set. These conditions are written in terms of a Lyapunov function candidate and assume a semiglobal practical persistent flow (resp. persistent jump) property of the solutions to the hybrid system. The use of the new conditions is illustrated via the stability analysis of a physically inspired example and of an event-triggered control algorithm.
  • Keywords
    Lyapunov methods; asymptotic stability; time-varying systems; Lyapunov function candidate; event-triggered control algorithm; relaxed persistent flow-jump condition; semiglobal practical persistent flow; stability analysis; uniform global asymptotic stability; Asymptotic stability; Equations; Heart rate variability; Lyapunov methods; Robustness; Springs; Time-varying systems; Event-triggered control; Lyapunov methods; hybrid dynamical systems; uniform global asymptotic stability;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2014.2311611
  • Filename
    6766750
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=33793