16 papers
Insensitizing Control Problems for Coupled Stochastic Parabolic Systems with State and Gradient Observations
Said Boulite, Abdellatif Elgrou, Abdelaziz Rhandi
We study insensitizing control problems for a class of coupled linear stochastic parabolic systems. We establish the existence of controls such that a sentinel functional, involvin…
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…
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…
Controllability of Forward Stochastic Reaction--Convection--Diffusion Systems with Cascade Structure
Abdellatif Elgrou, Federica Gregorio, Abdelaziz Rhandi
We investigate the null and approximate controllability of coupled linear forward stochastic reaction--convection--diffusion systems under suitable cascade coupling conditions. The…
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…
Null Controllability for Cascade systems of Coupled Backward Stochastic Parabolic Equations with One Distributed Control
Said Boulite, Abdellatif Elgrou, Lahcen Maniar
We prove the null controllability of a cascade system of \(n\) coupled backward stochastic parabolic equations involving both reaction and convection terms, as well as general seco…
Inverse initial problem under Nash strategy for stochastic reaction-diffusion equations with dynamic boundary conditions
Abdellatif Elgrou, Lahcen Maniar, Omar Oukdach
In this paper, we study a multi-objective inverse initial problem with a Nash strategy constraint for forward stochastic reaction-diffusion equations with dynamic boundary conditio…
Stackelberg-Nash null controllability for stochastic parabolic equations
Omar Oukdach, Said Boulite, Abdellatif Elgrou +1
We study a hierarchical control problem for stochastic parabolic equations involving gradient terms. We employ the Stackelberg-Nash strategy with two leaders and two followers. The…
Null controllability for stochastic parabolic equations with Robin boundary conditions
Said Boulite, Abdellatif Elgrou, Lahcen Maniar
We establish the null controllability of forward and backward linear stochastic parabolic equations with linear Robin (or Fourier) boundary conditions. These equations incorporate…
Multi-objective control for stochastic parabolic equations with dynamic boundary conditions
Omar Oukdach, Said Boulite, Abdellatif Elgrou +1
This paper deals with a hierarchical multi-objective control problem for forward stochastic parabolic equations with dynamic boundary conditions. The controls are divided into two…
Null Controllability for Backward Stochastic Parabolic Convection-Diffusion Equations with Dynamic Boundary Conditions
Mahmoud Baroun, Said Boulite, Abdellatif Elgrou +1
This paper is concerned with the null controllability for linear backward stochastic parabolic equations with dynamic boundary conditions and convection terms. Using the classical…
Controllability for forward stochastic parabolic equations with dynamic boundary conditions without extra forces
Said Boulite, Abdellatif Elgrou, Lahcen Maniar +1
In this paper, we continue the study of some controllability issues for the forward stochastic parabolic equation with dynamic boundary conditions. The main novelty in the present…
Null Controllability for Stochastic Parabolic Equations with convection terms
M. Baroun, S. Boulite, A. Elgrou +1
This paper addresses null controllability for both forward and backward linear stochastic parabolic equations by introducing convection terms on the drift parts with bounded coeffi…