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., 2000, Volume 7, Number 3,Pages <nobr>308

This article is cited in 4 papers

The minimal polynomial for determining of all points of switching in the time optimal control problem

V. I. Korobov^ab, G. M. Sklyar^ab, V. V. Florinskii^c

^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.