The minimal polynomial for determining of all points of switching in the time optimal control problem
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 7 (2000) no. 3, pp. 308-320
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The present work continues the investigations of the authors on analytic solving of the time optimal control problem. The explicit form of a polynomial of minimal power which roots are the points of switching of the time-optimal control for the canonical system is found. On this basis the explicit form of a support vector to the controllability set is given.
@article{JMAG_2000_7_3_a4,
author = {V. I. Korobov and G. M. Sklyar and V. V. Florinskii},
title = {The minimal polynomial for determining of all points of switching in the time optimal control problem},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {308--320},
year = {2000},
volume = {7},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_2000_7_3_a4/}
}
TY - JOUR AU - V. I. Korobov AU - G. M. Sklyar AU - V. V. Florinskii TI - The minimal polynomial for determining of all points of switching in the time optimal control problem JO - Žurnal matematičeskoj fiziki, analiza, geometrii PY - 2000 SP - 308 EP - 320 VL - 7 IS - 3 UR - http://geodesic.mathdoc.fr/item/JMAG_2000_7_3_a4/ LA - ru ID - JMAG_2000_7_3_a4 ER -
%0 Journal Article %A V. I. Korobov %A G. M. Sklyar %A V. V. Florinskii %T The minimal polynomial for determining of all points of switching in the time optimal control problem %J Žurnal matematičeskoj fiziki, analiza, geometrii %D 2000 %P 308-320 %V 7 %N 3 %U http://geodesic.mathdoc.fr/item/JMAG_2000_7_3_a4/ %G ru %F JMAG_2000_7_3_a4
V. I. Korobov; G. M. Sklyar; V. V. Florinskii. The minimal polynomial for determining of all points of switching in the time optimal control problem. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 7 (2000) no. 3, pp. 308-320. http://geodesic.mathdoc.fr/item/JMAG_2000_7_3_a4/