• DocumentCode
    294905
  • Title

    A stabilization algorithm for linear controlled SDE´s

  • Author

    Campillo, Fabien ; Traore, A.

  • Author_Institution
    Inst. Nat. de Recherche en Inf. et Autom., Sophia-Antipolis, France
  • Volume
    2
  • fYear
    1995
  • fDate
    13-15 Dec 1995
  • Firstpage
    1034
  • Abstract
    We consider a stochastic differential equation with linear feedback control with a one-dimensional feedback gain parameter. The problem is to find an online algorithm which adjust this gain in order to stabilize the system. We propose a stochastic gradient method which minimize the Lyapunov exponent associated with the solution of this stochastic differential equation. We present some simulation tests
  • Keywords
    Lyapunov methods; conjugate gradient methods; differential equations; feedback; minimisation; stability; stochastic systems; 1D feedback gain parameter; Lyapunov exponent minimization; linear controlled SDE; linear feedback control; online algorithm; stabilization algorithm; stochastic differential equation; stochastic gradient method; Bismuth; Computational modeling; Differential equations; Feedback control; Gradient methods; Integral equations; Linear feedback control systems; Stability; Stochastic processes; Testing;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
  • Conference_Location
    New Orleans, LA
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-2685-7
  • Type

    conf

  • DOI
    10.1109/CDC.1995.480226
  • Filename
    480226