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 Issues2014-5pp.468-479

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Ye.P. Kubyshkin, "Optimal control of the rotation of a system of two bodies connected by an elastic rod," J. Appl. Math. Mech. 78 (5), 468-479 (2014)
Year 2014 Volume 78 Issue 5 Pages 468-479
Title Optimal control of the rotation of a system of two bodies connected by an elastic rod
Author(s) Ye.P. Kubyshkin (Yaroslavl, Russia, kubysh@uniyar.ac.ru)
Abstract Optimal controls of the rotation of a mechanical system consisting of two rigid bodies, joined by an elastic rod, through a specified angle about an axis passing through the centre of mass of one of the bodies are constructed. The problem of the optimal control of the rotation of the system through a given angle with complete suppression of the oscillations of the elastic rod at the minimum of the energy functional of the control moment and the problem of time-optimality for a specified constraint on the energy functional of the control moment are solved.
Received 14 November 2012
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