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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 2000, Volume 7, Number 3, Pages 308–320
(Mi jmag379)
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This article is cited in 4 scientific papers (total in 4 papers)
The minimal polynomial for determining of all points of switching in the time optimal control problem
V. I. Korobovab, G. M. Sklyarab, V. V. Florinskiic a V. N. Karazin Kharkiv National University
b Szczecin Institute of Mathematics, 15 Wielkopolska, Szczecin, Poland
c Belgorod State University
Abstract:
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.
Citation:
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”, Mat. Fiz. Anal. Geom., 7:3 (2000), 308–320
Linking options:
https://www.mathnet.ru/eng/jmag379 https://www.mathnet.ru/eng/jmag/v7/i3/p308
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