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20232026
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8 papers · 1 filter

math.OC2024

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…

math.OC2024

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…

math.OC2024

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…

math.AP2024

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…

math.OC2024

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…

math.AP2024

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…

math.OC2024

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…

math.OC2024

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…