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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2013, Issue 1(30), Pages 24–30
DOI: https://doi.org/10.14498/vsgtu1190
(Mi vsgtu1190)
 

Procedings of the 3nd International Conference "Mathematical Physics and its Applications"
Equations of Mathematical Physics

Boundary control for the processes, described by hyperbolic systems

A. A. Andreev, E. A. Kozlova, S. V. Leksina

Samara State Technical University, Samara, 443100, Russia (published under the terms of the Creative Commons Attribution 4.0 International License)
References:
Abstract: The boundary control problem for the system of hyperbolic equations with the mixed derivative is considered. The control is provided by the displacement (in the conditions of the first boundary-value problem). The coefficient matrices of different structure are explored for the system. The commutativity of these coefficients is the essential condition. If the matrices couldn't be brought to the diagonal form simultaneously, it's offered to use special differential operators for representation of the necessary problems solutions.
Keywords: boundary control, system of hyperbolic equations, mixed derivative, Jordan canonical form, Jordan cell.
Original article submitted 19/XI/2012
revision submitted – 15/I/2013
Bibliographic databases:
Document Type: Article
UDC: 517.956.3
MSC: Primary 35L20, 35B37; Secondary 35Q93, 35L51
Language: Russian
Citation: A. A. Andreev, E. A. Kozlova, S. V. Leksina, “Boundary control for the processes, described by hyperbolic systems”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(30) (2013), 24–30
Citation in format AMSBIB
\Bibitem{AndKozLek13}
\by A.~A.~Andreev, E.~A.~Kozlova, S.~V.~Leksina
\paper Boundary control for the processes, described by hyperbolic systems
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2013
\vol 1(30)
\pages 24--30
\mathnet{http://mi.mathnet.ru/vsgtu1190}
\crossref{https://doi.org/10.14498/vsgtu1190}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2013VSGTU..30...24A}
\elib{https://elibrary.ru/item.asp?id=19117426}
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    Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    Abstract page:658
    Full-text PDF :276
    References:127
    First page:2
     
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