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Matematicheskie Zametki, 2017, Volume 102, Issue 4, Pages 503–513
DOI: https://doi.org/10.4213/mzm11399 (Mi mzm11399) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Control of the Motion of a Triaxial Ellipsoid in a Fluid Using Rotors

A. V. Borisovab, E. V. Vetchaninbc, A. A. Kilinbd

a Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
b Udmurt State University, Izhevsk
c Izhevsk State Technical University
d Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Full-text PDF (540 kB) Citations (14)
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DOI: https://doi.org/10.4213/mzm11399
Abstract: The motion of a body shaped as a triaxial ellipsoid and controlled by the rotation of three internal rotors is studied. It is proved that the motion is controllable with the exception of a few particular cases. Partial solutions whose combinations enable an unbounded motion in any arbitrary direction are constructed.
Keywords: ideal fluid, motion of a rigid body, Kirchhoff equations, control by rotors, gate.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.2404.2017/4.6
Russian Foundation for Basic Research 15-08-09093-а
15-38-20879 мол_а_вед
The work of the first author was supported by the Ministry of Education and Science of the Russian Federation under grant 1.2404.2017/4.6, The work of the second author was supported by the Russian Foundation for Basic Research under grant 15-08-09093-a. The work of the third author was supported by the Russian Foundation for Basic Research under grant 15-38-20879 mol_a_ved.
Received: 06.10.2016
Revised: 14.03.2017
English version:
Mathematical Notes, 2017, Volume 102, Issue 4, Pages 455–464
DOI: https://doi.org/10.1134/S0001434617090176
Bibliographic databases:
Document Type: Article
UDC: 532.3
PACS: 45.80.+r
Language: Russian
Citation: A. V. Borisov, E. V. Vetchanin, A. A. Kilin, “Control of the Motion of a Triaxial Ellipsoid in a Fluid Using Rotors”, Mat. Zametki, 102:4 (2017), 503–513; Math. Notes, 102:4 (2017), 455–464
Citation in format AMSBIB
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\pages 503--513
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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