• DocumentCode
    114814
  • Title

    Stability analysis via averaging for nonlinear systems with delays

  • Author

    Yang Yang ; Yuan Wang

  • Author_Institution
    Dept. of Math. Sci., Florida Atlantic Univ., Boca Raton, FL, USA
  • fYear
    2014
  • fDate
    15-17 Dec. 2014
  • Firstpage
    2334
  • Lastpage
    2339
  • Abstract
    In this work we consider stability of time-varying systems with time delays via the averaging method. It is shown that if the strong averaged system of a system affected by a small positive parameter ε admits a Lyapunov-Razumikhin function for the input-to-state stability (ISS) property, then the original system satisfies a semiglobal and practical ISS-like property as the small parameter ε converges to zero.
  • Keywords
    Lyapunov methods; delays; nonlinear control systems; stability; time-varying systems; Razumikhin function; averaging method; input-to-state stability property; nonlinear systems; practical ISS-like property; semiglobal ISS-like property; small positive parameter; stability analysis; strong averaged system; time delays; time-varying systems; Asymptotic stability; Delay effects; Delays; Nonlinear systems; Stability analysis; Time-varying systems; Trajectory;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
  • Conference_Location
    Los Angeles, CA
  • Print_ISBN
    978-1-4799-7746-8
  • Type

    conf

  • DOI
    10.1109/CDC.2014.7039744
  • Filename
    7039744
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=114814