• DocumentCode
    2914245
  • Title

    Exponential disturbance rejection with decay rate for stochastic systems

  • Author

    Barbata, Asma ; Zasadzinski, Michel ; Ali, Hanaa S. ; Messaoud, Hassani

  • Author_Institution
    Centre de Rech. en Autom. de Nancy, Univ. de Lorraine, Cosnes et Romain, France
  • fYear
    2013
  • fDate
    17-19 June 2013
  • Firstpage
    5404
  • Lastpage
    5408
  • Abstract
    This contribution deals with the study of the behavior of stochastic systems with multiplicative noise in presence of external disturbances. Sufficient conditions for exponential disturbance rejection are given. They are based on inequalities expressed in terms of Lyapunov functions. Via a bound of the exponential exponent of the solution, a given decay rate of the convergence of the solution is guaranteed.
  • Keywords
    Lyapunov methods; stochastic systems; Lyapunov functions; decay rate; exponential disturbance rejection; external disturbances; multiplicative noise; solution convergence; stochastic systems; Control theory; Convergence; Differential equations; Lyapunov methods; Noise; Stability; Stochastic systems; Almost sure exponential stability; Lyapunov exponent; decay rate; exponential disturbance rejection; stochastic differential equation;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference (ACC), 2013
  • Conference_Location
    Washington, DC
  • ISSN
    0743-1619
  • Print_ISBN
    978-1-4799-0177-7
  • Type

    conf

  • DOI
    10.1109/ACC.2013.6580682
  • Filename
    6580682