Work

Insensitizing controls for stochastic parabolic equations with dynamic boundary conditions

Year: 2025

Type: article

Abstract: In this paper, we establish the existence of insensitizing controls for forward linear stochastic parabolic equations with dynamic boundary conditions. We begin by reducing the insensitizing control problem to a classical controllability property of a cascade system of coupled forward-backward stochastic parabolic equations. Next, we derive a suitable observability inequality for the adjoint system using a new Carleman estimate. Finally, employing the classical duality arguments, we solve the considered control problem.

Source: IMA Journal of Mathematical Control and Information

DOI: 10.1093/imamci/dnaf040

Authors: Mahmoud Baroun, Said Boulite, Abdellatif Elgrou, Omar Oukdach

Institutions: Cadi Ayyad University, University of Salerno, Université Moulay Ismail de Meknes

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4416579544

FWCI: 0.772

Cites: 34

Cited by: 2

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