Global stabilization of stochastic nonlinear systems
Bensoubaya, Mohamed ; Ferfera, Abdelhak ; Iggidr, Abderrahman
HAL, hal-01862873 / Harvested from HAL
Text on HAL
We consider stochastic nonaffine nonlinear control systems dxt=f(xt,u) dt+g(xt,u) dωt, ω being a standard Wiener process, for which we give a sufficient condition for global stabilization by a bounded smooth state feedback which is explicitly given. This condition generalizes the well known Jurdjevic-Quinn result (1978) for deterministic affine control systems
Publié le : 1998-12-16
Classification:  deterministic affine control systems,  global stabilization,  standard Wiener process,  stochastic nonaffine nonlinear control systems,  bounded smooth state feedback,  stochastic systems,  state feedback,  stability criteria,  nonlinear control systems,  [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS],  [SPI.AUTO]Engineering Sciences [physics]/Automatic 
@article{hal-01862873,
     author = {Bensoubaya, Mohamed and Ferfera, Abdelhak and Iggidr, Abderrahman},
     title = {Global stabilization of stochastic nonlinear systems},
     journal = {HAL},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01862873}
}

Bensoubaya, Mohamed; Ferfera, Abdelhak; Iggidr, Abderrahman. Global stabilization of stochastic nonlinear systems. HAL, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/hal-01862873/