An optimal control problem by parabolic equation with boundary smooth control and an integral constraint

Autor:	Vasilisa Poplevko, A. V. Arguchintsev
Rok vydání:	2018
Předmět:	Constraint (information theory) Class (set theory) Control and Optimization Algebra and Number Theory Applied Mathematics Numerical analysis Boundary (topology) Applied mathematics Boundary value problem Differential (infinitesimal) Control (linguistics) Optimal control Mathematics
Zdroj:	Numerical Algebra, Control & Optimization. 8:193-202
ISSN:	2155-3297
DOI:	10.3934/naco.2018011
Popis:	In the paper, we consider an optimal control problem by differential boundary condition of parabolic equation. We study this problem in the class of smooth controls satisfying certain integral constraints. For the problem under consideration we obtain a necessary optimality condition and propose a method for improving admissible controls. For illustration, we solve one numerical example to show the effectiveness of the proposed method.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::56006f2afee9d0f0000d7a032d0359a8 https://doi.org/10.3934/naco.2018011 Zobrazit plný text záznamu