9 papers · 1 filter
A Hierarchical Robust Control Strategy for Stochastic Kuramoto--Sivashinsky--Korteweg--de Vries Equations
Abdellatif Elgrou, Omar Oukdach, Abdelaziz Rhandi
We investigate the robust Stackelberg null controllability of a one-dimensional forward linear stochastic Kuramoto--Sivashinsky--Korteweg--de Vries (KS--KdV) equation. The control…
On the Controllability of a Fully Nonlocal Coupled Stochastic Reaction--Convection--Diffusion System
Abdellatif Elgrou, Federica Gregorio, Abdelaziz Rhandi
In this paper, we study the null and approximate controllability of a class of fully nonlocal coupled stochastic reaction--convection--diffusion systems. The system consists of two…
Carleman Estimates for Backward Anisotropic Stochastic Parabolic Equations with General Dynamic Boundary Conditions and Applications
Said Boulite, Abdellatif Elgrou, Lahcen Maniar +1
We investigate a backward anisotropic stochastic parabolic equation with general dynamic boundary conditions, where the drift involves both and bul…
Stackelberg-Nash Controllability for Abstract Stochastic Evolution Equations and Applications
Abdellatif Elgrou, Omar Oukdach
This paper presents the concepts of exact, null, and approximate controllability in the Stackelberg-Nash sense for abstract forward and backward stochastic evolution equations, inv…
Multi-objective and hierarchical control for coupled stochastic parabolic systems
Abdellatif Elgrou, Omar Oukdach
We study the Stackelberg-Nash null controllability of a coupled system governed by two linear forward stochastic parabolic equations. The system includes one leader control localiz…
Insensitizing controls for stochastic parabolic equations with dynamic boundary conditions
Mahmoud Baroun, Said Boulite, Abdellatif Elgrou +1
In this paper, we continue the study of some controllability issues for the forward stochastic heat equation with dynamic boundary conditions. The main novelty in the present paper…