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Please use this identifier to cite or link to this item: http://esnuir.eenu.edu.ua/handle/123456789/14167

Название: Approximate Homogenized Synthesis for Distributed Optimal Control Problem with Superposition Type Cost Functional
Авторы: Собчук, Валентин Володимирович
Sobchuk, Valentyn V.
Капустян, Олена Анатоліївна
Kapustian, Olena A.
Ключевые слова: The optimal control problem
approximate synthesis
parabolic equation
rapidly oscillating coefficients
homogenization
Issue Date: 2018
Издатель: International Academic Press
Краткий осмотр (реферат): In this paper, we consider the optimal control problem in the feedback form (synthesis) for a parabolic equation with rapidly oscillating coefficients and not-decomposable quadratic cost functional with superposition type operator. In general, to find the exact formula of optimal synthesis is not possible for such a problem because the Fourier method can’t be directly applied. But the transition to the homogenized parameters greatly simplifies the structure of the problem. Assuming that the problem with the homogenized coefficients already admits optimal synthesis form, we ground approximate optimal control in the feedback form for the initial problem. We give an example of superposition operator for specific conditions in this paper.
URI: http://esnuir.eenu.edu.ua/handle/123456789/14167
Appears in Collections:Наукові роботи (FISFM)

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