Work

No-regret and low-regret controls of space-time fractional parabolic Sturm-Liouville equations in a star graph

Year: 2025

Type: article

Abstract: We are concerned with a space-time fractional parabolic initial-boundary value problem of Sturm-Liouville type in a general star graph with mixed Dirichlet and Neumann boundary controls. We first give several existence, uniqueness and regularity results of weak and very-weak solutions. Using the notion of no-regret control introduced by Lions, we prove the existence, uniqueness, and characterize the low regret control of a quadratic boundary optimal control problem, then we prove that this low regret control converges to the no-regret control and we provide the associated optimality systems and conditions that characterize that no-regret control.

Source: Fractional Calculus and Applied Analysis

DOI: 10.1007/s13540-025-00396-3

Authors: Gisèle Mophou, Maryse Moutamal, Mahamadi Warma

Institutions: Université Joseph Ki-Zerbo, Université des Antilles, University of Buea, 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: hybrid

Estimated APC paid: $2,590

Funders: Deutscher Akademischer Austauschdienst, Army Research Office