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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)
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
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
Linking options:
https://www.mathnet.ru/eng/vsgtu1190 https://www.mathnet.ru/eng/vsgtu/v130/p24
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Abstract page: | 658 | Full-text PDF : | 276 | References: | 127 | First page: | 2 |
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