Title :
On feedback stabilization of stochastic nonlinear systems with discrete and distributed delays
Author :
Aggoune, Woihida
Author_Institution :
ECS-Lab. (EA3649), ENSEA, Cergy-Pontoise, France
Abstract :
In this paper, the problem of feedback stabilization of stochastic differential delay systems is considered. The systems under study are nonlinear, nonaffine and involve both discrete and distributed delays. By using a LaSalle-type theorem for stochastic systems, general conditions for stabilizing the closed-loop system with delays are obtained. In addition, stabilizing state feedback control laws are proposed.
Keywords :
closed loop systems; delay systems; discrete systems; nonlinear control systems; stability; state feedback; stochastic systems; LaSalle-type theorem; closed-loop system; discrete delays; distributed delays; feedback stabilization; nonaffine systems; state feedback control laws; stochastic differential delay systems; stochastic nonlinear systems; stochastic systems; Closed loop systems; Delay; Delay systems; Equations; Nonlinear systems; Stability analysis; Stochastic systems;
Conference_Titel :
Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
978-1-61284-800-6
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2011.6161446