Optimal control over the process of heating of a thin core

TitleOptimal control over the process of heating of a thin core
Publication TypeJournal Article
Year of Publication2014
AuthorsKopets, MM
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2014.07.048
Issue7
SectionInformation Science and Cybernetics
Pagination48-52
Date Published7/2014
LanguageUkrainian
Abstract

The paper is devoted to the linear-quadratic optimal control problem for the process of heating of a thin core. The simultaneous use of distributed and boundary controls is supposed. A method of Lagrange multipliers is proposed, and the Lagrange function includes not only a partial differential equation, but also boundary conditions. For the considered optimization problem, the necessary conditions of optimality are obtained. Their analysis has given chance to deduce the Riccati integro-differential equation.
Keywordscontrol, core, heating
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