9 papers
Long-Time Stability Analysis for Stochastic Evolution Equations with Multiplicative Noise
Abdellatif Elgrou, Abdelaziz Rhandi, Jawad Salhi
In this paper, we study the long-time stability behavior of a class of linear stochastic evolution equations in a Hilbert space with multiplicative noise. Explicit sufficient condi…
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…