Necessary and sufficient conditions of optimality for an optimal control problem with non-local boundary conditions and quadratic functional

Necessary and sufficient conditions of optimality for an optimal control problem with non-local boundary conditions and quadratic functional

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Article ID: iaor201522412
Volume: 35
Issue: 2
Start Page Number: 231
End Page Number: 252
Publication Date: Mar 2014
Journal: Optimal Control Applications and Methods
Authors: , , ,
Keywords: optimization, programming: quadratic
Abstract:

In this paper, the optimal control problem with a quadratic functional for Helmholtz equation with non‐local boundary conditions is considered. Necessary and sufficient conditions of optimality are obtained on the basis of which the existence and uniqueness of a solution to the optimal problem are proved.

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