Geodesic
The problem of boundary control for a differential system on a graph
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 39 (2012) no. 1, pp. 30-31.

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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. 
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     author = {A. S. Volkova and V. V. Provotorov},
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A. S. Volkova; V. V. Provotorov. The problem of boundary control for a differential system on a graph. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 39 (2012) no. 1, pp. 30-31. http://geodesic.mathdoc.fr/item/IIMI_2012_39_1_a12/