Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2017-2pp.114-128

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Total articles in the database: 10482
In Russian (ΟΜΜ): 9683
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A.R. Matviychuk, V.I. Ukhobotov, A.V. Ushakov, and V.N. Ushakov, "The approach problem of a nonlinear controlled system in a finite time interval," J. Appl. Math. Mech. 81 (2), 114-128 (2017)
Year 2017 Volume 81 Issue 2 Pages 114-128
DOI 10.1016/j.jappmathmech.2017.08.005
Title The approach problem of a nonlinear controlled system in a finite time interval
Author(s) A.R. Matviychuk (Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Ekaterinburg, Russia, matv@imm.uran.ru)
V.I. Ukhobotov (Chelyabinsk State University, Chelyabinsk, Russia, ukh@csic.ru)
A.V. Ushakov (Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Ekaterinburg, Russia, aushakov.pk@gmail.com)
V.N. Ushakov (Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Ekaterinburg, Russia, ushak@imm.uran.ru)
Abstract A nonlinear controlled system in Euclidean space, which is specified in a finite time interval, is considered. The approach problem of a controlled system with a target set in a finite time interval is studied. An algorithm for an approximate calculation of the solution of the problem is presented. An illustrative example of a "flywheel-pendulum" controlled mechanical system is considered.
Received 05 April 2016
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