Construction of solutions in an approach problem of a~stationary control system
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 4, pp. 277-286
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We consider a stationary control system on a finite time interval and study the problem of the approach of the system to a compact target set in the phase space. The scheme of the approximate solution of the approach problem is described briefly. A control problem for a gyroscope is given as an illustrating example.
Keywords:
control, stationary control system, approach problem, solvability set, reachable set, integral funnel, gyroscope.
@article{TIMM_2014_20_4_a23,
author = {V. N. Ushakov and N. G. Lavrov and A. V. Ushakov},
title = {Construction of solutions in an approach problem of a~stationary control system},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {277--286},
publisher = {mathdoc},
volume = {20},
number = {4},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2014_20_4_a23/}
}
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%0 Journal Article %A V. N. Ushakov %A N. G. Lavrov %A A. V. Ushakov %T Construction of solutions in an approach problem of a~stationary control system %J Trudy Instituta matematiki i mehaniki %D 2014 %P 277-286 %V 20 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/TIMM_2014_20_4_a23/ %G ru %F TIMM_2014_20_4_a23
V. N. Ushakov; N. G. Lavrov; A. V. Ushakov. Construction of solutions in an approach problem of a~stationary control system. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 4, pp. 277-286. http://geodesic.mathdoc.fr/item/TIMM_2014_20_4_a23/