• DocumentCode
    1147254
  • Title

    On Input-to-State Stability of Stochastic Retarded Systems With Markovian Switching

  • Author

    Huang, Lirong ; Mao, Xuerong

  • Author_Institution
    Dept. of Math. & Stat., Univ. of Strathclyde, Glasgow, UK
  • Volume
    54
  • Issue
    8
  • fYear
    2009
  • Firstpage
    1898
  • Lastpage
    1902
  • Abstract
    This note develops a Razumikhin-type theorem on pth moment input-to-state stability of hybrid stochastic retarded systems (also known as stochastic retarded systems with Markovian switching), which is an improvement of an existing result. An application to hybrid stochastic delay systems verifies the effectiveness of the improved result.
  • Keywords
    Markov processes; delays; stability; stochastic systems; Markovian switching; Razumikhin-type theorem; hybrid stochastic delay systems; hybrid stochastic retarded systems; input-to-state stability; Automatic control; Delay effects; Delay systems; Differential equations; Hybrid power systems; Power system management; Power system modeling; Stability analysis; Stochastic resonance; Stochastic systems; Input-to-state stability (ISS); Markov chain; Razumikhin-type theorems; stochastic systems; time delay;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2009.2022112
  • Filename
    5173490
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1147254