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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020 Number 3, Pages 63–67 (Mi vmumm4333)

This article is cited in 2 papers

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Periodic solutions to the optimal control problem of rotation of a rigid body using internal mass

A. M. Shmatkov

Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow

Abstract: A two-dimensional problem of time-optimal rotation of a mechanical system consisting of a rigid body and a mass point is considered. The mass point interacts with the body by internal forces only. The periodic optimal trajectories of the mass point passing through the rigid body center of inertia are found.

Key words: capsular robot, time-optimal rotation, periodic solutions, maximum principle.

UDC: 62--50

Received: 15.03.2019


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2020, 75:3, 75–79

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