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BOUNDARY CONTROL PROBLEM FOR ONE DEGENERATE HIBERBOLIC EQUATION

ЗАДАЧА ГРАНИЧНОГО УПРАВЛЕНИЯ ДЛЯ ОДНОГО ВЫРОЖДАЮЩЕГОСЯ УРАВНЕНИЯ ГИПЕРБОЛИЧЕСКОГО ТИПА
descriptionPublicationkeyboard_double_arrow_right Article 25 Dec 2019 Russian Publisher:Institute of Cosmophysical Research and Radio Wave Propagation Far Eastern Branch of the Russian Academy of SciencesJournal:Вестник КРАУНЦ. Физико-математические науки (issn: 2079-6641, eissn: 2079-665X, Copyright policy )
Authors: Attaev A. Kh.;

doi: 10.26117/2079-6641-2019-29-4-19-27

BOUNDARY CONTROL PROBLEM FOR ONE DEGENERATE HIBERBOLIC EQUATION

Abstract

В работе изучается задача граничного управления для вырождающегося гиперболического уравнения второго порядка. Установлены необходимые и достаточные условия управляемости данными Коши за минимальный промежуток времени. Граничные управления предъявлены в явном аналитическом виде. The paper studies the boundary control problem for a degenerate second-order hyperbolic equation. Necessary and sufficient conditions are established for minimal time controllability over Cauchy data. Boundary controls are presented in an explicit analytical form.

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Keywords

Science, Second-order hyperbolic equations, regular solution, boundary control problem, Q, регулярное решение, управление распределенными системами, вырождающиеся гиперболические уравнения, equation characteristics, данные Коши, distributed system control, задача граничного управления, degenerate hyperbolic equations, data cauchy, data Cauchy, характеристики уравнения

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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