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Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, 2012, Issue 1(39), Pages 30–31 (Mi iimi13)  
The problem of boundary control for a differential system on a graph

A. S. Volkova, V. V. Provotorov

Voronezh State University
Full-text PDF (79 kB)
Abstract: We substantiate the existence of boundary control functions and present a method of finding them in a model problem of controlling the vibrations of an elastic system of $m$ strings attached to the graph type stars, which consists in the translation process of oscillation of the system from a given initial state to a given final state.
Keywords: fluctuations in the graph, the boundary control, complete controllability.
Received: 30.01.2012
Bibliographic databases:
Document Type: Article
UDC: 517.954
MSC: 34H05
Language: Russian
Citation: A. S. Volkova, V. V. Provotorov, “The problem of boundary control for a differential system on a graph”, Izv. IMI UdGU, 2012, no. 1(39), 30–31
Citation in format AMSBIB
\Bibitem{VolPro12}
\by A.~S.~Volkova, V.~V.~Provotorov
\paper The problem of boundary control for a differential system on a graph
\jour Izv. IMI UdGU
\yr 2012
\issue 1(39)
\pages 30--31
\mathnet{http://mi.mathnet.ru/iimi13}
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    		Известия Института математики и информатики Удмуртского государственного университета
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