Work

Bilinear optimal control for a fractional diffusive equation

Year: 2024

Type: article

Abstract: We consider a bilinear optimal control for an evolution equation involving the fractional Laplace operator of order 0<s<1. We first give some existence and uniqueness results for the considered evolution equation. Next, we establish some weak maximum principle results allowing us to obtain more regularity of our state equation. Then, we consider an optimal control problem which consists to bring the state of the system at final time to a desired state. We show that this optimal control problem has a solution and we derive the first- and second-order optimality conditions.

Source: Optimization

DOI: 10.1080/02331934.2024.2421384

Authors: Gisèle Mophou, Cyrille Kenne, Mahamadi Warma

Institutions: Laboratoire de Mathématiques Informatique et Applications, Laboratoire des Matériaux et Molécules en Milieu Agressif, Université des Antilles, George Mason University

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funder: Army Research Office

Awards: G3236695045, G6673636002, G7452299184