On Approximation of Solutions to one Class of the Optimal Control Problems for Parabolic Equation with Unbounded Coefficients

Svetlana A. Gorbonos

doi:10.1615/JAutomatInfScien.v46.i9.20

Journal of Automation and Information Sciences

Editor chefe: Arkadiy A. Chikriy (open in a new tab)

Editor associados: Vyacheslav F. Gubarev (open in a new tab) Yuriy P. Kondratenko (open in a new tab) Nonna V. Turovyerova (open in a new tab)

Publicou 12 edições por ano

ISSN Imprimir: 1064-2315

ISSN On-line: 2163-9337

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On Approximation of Solutions to one Class of the Optimal Control Problems for Parabolic Equation with Unbounded Coefficients

Volume 46, Edição 9, 2014, pp. 12-28

DOI: 10.1615/JAutomatInfScien.v46.i9.20

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Svetlana A. Gorbonos
Oles Honchar Dnepropetrovsk National University

RESUMO

The optimal control problem for a parabolic system with unbounded coefficients is considered. An approach that allows one to get solution of the posed control problem through a series of solutions of optimal control problems, which are defined on perforated subsets with fictitious boundary controls, is proposed.

Palavras-chave: parabolic equation with unbounded coefficients, optimal control problems, approximation of solutions, perforated subsets with fictitious boundary controls

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