AN OPTIMAL CONTROL PROBLEM FOR AN ELLIPTIC EQUATION WITHPERIODICITY CONDITIONS

An optimal control problem for an elliptic equation with periodic boundary condition is considered.The correctness of the problem statement is investigated.The theorem on the existence and uniqueness of the solution to the considered optimal control problem is proved.It is proved that the objective functional is differentiable and an explicit expression for its gradient is derived.Necessary and sufficient conditions for the optimality of the controls are obtained.

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Publication Details

Published
2025-01-01
DOI
https://doi.org/10.30546/209501.101.2025.2.1.014
Primary Topic
Advanced Mathematical Modeling in Engineering
Type
article
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article

AN OPTIMAL CONTROL PROBLEM FOR AN ELLIPTIC EQUATION WITHPERIODICITY CONDITIONS

Advanced Mathematical Modeling in Engineering
article

AN OPTIMAL CONTROL PROBLEM FOR AN ELLIPTIC EQUATION WITHPERIODICITY CONDITIONS

article en

Abstract

An optimal control problem for an elliptic equation with periodic boundary condition is considered.The correctness of the problem statement is investigated.The theorem on the existence and uniqueness of the solution to the considered optimal control problem is proved.It is proved that the objective functional is differentiable and an explicit expression for its gradient is derived.Necessary and sufficient conditions for the optimality of the controls are obtained.

Baku State University (AZ)
Openalex Percentile: Top 91%
Advanced Mathematical Modeling in Engineering
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AN OPTIMAL CONTROL PROBLEM FOR AN ELLIPTIC EQUATION WITHPERIODICITY CONDITIONS · (2025) | TGRS Research Map | TGRS