The problem of boundary control for a differential system on a graph
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 1 (2012), 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.
@article{IIMI_2012_1_a12,
author = {A. S. Volkova and V. V. Provotorov},
title = {The problem of boundary control for a differential system on a graph},
journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta},
pages = {30--31},
year = {2012},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IIMI_2012_1_a12/}
}
TY - JOUR AU - A. S. Volkova AU - V. V. Provotorov TI - The problem of boundary control for a differential system on a graph JO - Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta PY - 2012 SP - 30 EP - 31 IS - 1 UR - http://geodesic.mathdoc.fr/item/IIMI_2012_1_a12/ LA - ru ID - IIMI_2012_1_a12 ER -
%0 Journal Article %A A. S. Volkova %A V. V. Provotorov %T The problem of boundary control for a differential system on a graph %J Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta %D 2012 %P 30-31 %N 1 %U http://geodesic.mathdoc.fr/item/IIMI_2012_1_a12/ %G ru %F IIMI_2012_1_a12
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, no. 1 (2012), pp. 30-31. http://geodesic.mathdoc.fr/item/IIMI_2012_1_a12/