Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2020, Number 3, Pages 63–67 (Mi vmumm4333)  
This article is cited in 2 scientific papers (total 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
Full-text PDF (214 kB) Citations (2)
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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.
Funding agency Grant number
Russian Science Foundation 18-11-00307
Received: 15.03.2019
English version:
Moscow University Mechanics Bulletin, 2020, Volume 75, Issue 3, Pages 75–79
DOI: https://doi.org/10.3103/S0027133020030073
Bibliographic databases:
Document Type: Article
UDC: 62--50
Language: Russian
Citation: A. M. Shmatkov, “Periodic solutions to the optimal control problem of rotation of a rigid body using internal mass”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 3, 63–67; Moscow University Mechanics Bulletin, 75:3 (2020), 75–79
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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