Global stabilization of stochastic nonlinear systems

Mohamed Bensoubaya (1, 2) , Abdelhak Ferfera (1, 2) , Abderrahman Iggidr (1)

1 CONGE - Geometric control for non-linear systems
2 UPVM - Université Paul Verlaine - Metz

We consider stochastic nonaffine nonlinear control systems dx_t=f(x_t,u) dt+g(xt,u) dω_t, 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

Mots clés: nonlinear control systems; stability criteria; state feedback; stochastic systems; bounded smooth state feedback; deterministic affine control systems; global stabilization; standard Wiener process; stochastic nonaffine nonlinear control systems

Domaines: Systèmes dynamiques [math.DS]; Automatique / Robotique

Mohamed Bensoubaya, Abdelhak Ferfera, Abderrahman Iggidr. Global stabilization of stochastic nonlinear systems. 37th IEEE Conference on Decision and Control, Dec 1998, Tampa, Florida, United States. pp.2376--2377, ⟨10.1109/cdc.1998.757728⟩. ⟨hal-01862873⟩