Title :
Global stabilization of stochastic nonlinear systems
Author :
Bensoubaya, M. ; Ferfera, A. ; Iggidr, A.
Author_Institution :
Dept. of Math., Univ. of Metz, France
Abstract :
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
Keywords :
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; Control systems; Differential equations; Discrete wavelet transforms; Feedback; Mathematics; Nonlinear control systems; Nonlinear systems; Stochastic processes; Stochastic systems; TV;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.757728
