Заголовок | Optimal control over the process of heating of a thin core |
Тип публікації | Journal Article |
Рік публікації | 2014 |
Автори | Kopets, MM |
Abbreviated Key Title | Dopov. Nac. akad. nauk Ukr. |
DOI | 10.15407/dopovidi2014.07.048 |
Номер видання | 7 |
Розділ | Information Science and Cybernetics |
Нумерація сторінок | 48-52 |
Дата публікації | 7/2014 |
Мова | Ukrainian |
Анотація | 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. |
Ключові слова | control, core, heating |
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