Work

Optimal control of a bilinear distributed system with incomplete data

Year: 2025

Type: article

Abstract: The aim of this paper is to study an optimal control problem for a bilinear abstract system with missing data. Our idea consists to construct an iterative sequence to transform the original problem into a sequence of linear problem. Under some hypothesis, we prove the convergence of linearised problem to the bilinear problem. These may also to obtain the optimality system for the original problem. The effectiveness of our approach will be illustrated by a simple application.

Source: Boundary Value Problems

DOI: 10.1186/s13661-025-02113-8

Authors: Fatma Achab, Abdelhak Hafdallah, Abdelhamid Ayadi, Imad Rezzoug

Institutions: Larbi Ben M'hidi University of Oum El Bouaghi, Université Larbi Tébessi

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,890

OpenAlex ID: W4415795062

FWCI: 0.392

Cites: 21

Cited by: 1

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