Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 382
Feedback stabilization of multi-input non linear stochastic systems
Hanane Himmi, Mohamed Oumoun
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 31, 2022
March 03, 2325
April 15, 2325

Abstract: The goal of this communication is to study the problem of stabilization in probability of multi-input non linear stochastic systems when both the drift and diffusion terms are affine in the control. The coefficients of stochastic systems in this communication are only continuous not necessary Lipchitz. Under the assumption that a stochastic control Lyaponov function is known and based on the generalized stochastic Lyaponov theorem, we derive sufficient conditions for the global asymptotic stabilization in probability by a continuous feedback control. We propose a constructive method to ...