Year: 2025
Type: article
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.
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: gold
OpenAlex ID: W4409556338