• DocumentCode
    794302
  • Title

    Asymptotic stability and boundedness of delay switching diffusions

  • Author

    Yuan, Chenggui ; Lygeros, John

  • Author_Institution
    Dept. of Math., Univ. of Wales Swansea, UK
  • Volume
    51
  • Issue
    1
  • fYear
    2006
  • Firstpage
    171
  • Lastpage
    175
  • Abstract
    Multiple Lyapunov functions are used to establish sufficient conditions for locating the limit sets of switching diffusions. The conditions lead to a number of useful results on stochastic asymptotic stability and boundedness for this class of stochastic hybrid systems.
  • Keywords
    Lyapunov methods; asymptotic stability; delays; stochastic systems; asymptotic stability; delay switching diffusions boundedness; multiple Lyapunov functions; stochastic hybrid systems; Asymptotic stability; Delay effects; Delay estimation; Differential equations; Linear matrix inequalities; Lyapunov method; Piecewise linear techniques; Stochastic processes; Stochastic systems; Sufficient conditions; ItÔ formula; Lyapunov function; stochastic asymptotic stability; switching diffusions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2005.861690
  • Filename
    1576872
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=794302