Approximate Synthesis of Distributed Bounded Control for a Parabolic Problem with Rapidly Oscillating Coefficients

Autor:	O. V. Kapustyan, A. V. Rusina
Rok vydání:	2015
Předmět:	Quality (physics) Quadratic equation General Mathematics Bounded function Exact formula Mathematical analysis Parabolic problem Control (linguistics) Optimal control Fourier series Mathematics
Zdroj:	Ukrainian Mathematical Journal. 67:408-420
ISSN:	1573-9376 0041-5995
DOI:	10.1007/s11253-015-1089-x
Popis:	We study the problem of finding the optimal control in the form of feedback (synthesis) for a linear-quadratic problem in the form of a parabolic equation with rapidly oscillating coefficients and distributed control on the right-hand side (whose Fourier coefficients obey certain restrictions in the form of inequalities) and a quadratic quality criterion. We deduce the exact formula of synthesis and justify its approximate form corresponding to the replacement of rapidly oscillating coefficients by their averaged values.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a2a15c126820e48674a6a5ad055df8f5 https://doi.org/10.1007/s11253-015-1089-x Zobrazit plný text záznamu Plný text ve formátu PDF