• DocumentCode
    1310351
  • Title

    A Jurdjevic-Quinn-type theorem for stochastic nonlinear control systems

  • Author

    Bensoubaya, M. ; Ferfera, A. ; Iggidr, A.

  • Author_Institution
    Dept. of Math., INRIA Lorraine & Univ. of Metz, France
  • Volume
    45
  • Issue
    1
  • fYear
    2000
  • fDate
    1/1/2000 12:00:00 AM
  • Firstpage
    93
  • Lastpage
    98
  • Abstract
    We consider stochastic nonaffine nonlinear control systems xt =x0+∫0t f(xs,u) ds+∫0t g(xs,u) dωs (written in the sense of Ito), ω being a standard Wiener process, for which we give a sufficient condition for global stabilization by a bounded smooth state feedback that is explicitly given. This condition generalizes the well-known Jurdjevic-Quinn result for deterministic affine control systems
  • Keywords
    Lyapunov methods; deterministic algorithms; nonlinear control systems; stability; state feedback; stochastic processes; Jurdjevic-Quinn-type theorem; bounded smooth state feedback; deterministic affine control systems; global stabilization; standard Wiener process; stochastic nonlinear control systems; sufficient condition; Controllability; Eigenvalues and eigenfunctions; MONOS devices; Nonlinear control systems; Partial differential equations; Robustness; Stochastic systems;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.827361
  • Filename
    827361
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1310351