A linear-quadratic problem of optimal control over the heat conductivity process

TitleA linear-quadratic problem of optimal control over the heat conductivity process
Publication TypeJournal Article
Year of Publication2014
AuthorsKopets, MM
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2014.02.045
Issue2
SectionInformation Science and Cybernetics
Pagination45-49
Date Published2/2014
LanguageUkrainian
Abstract

The problem of minimization of a quadratic functional on solutions of the second boundary-value problem for the heat equation is considered. The method of Lagrange multipliers is applied to research the formulated optimization problem. Such approach has given a chance to obtain the necessary conditions of optimality. On the basis of these conditions, the integro-differential Riccati equation with partial derivatives is deduced. The solution of this equation is presented in the closed form.

Keywordsheat conductivity, optimal control
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