Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2016, Volume 12, Number 4, Pages 663–674
DOI: https://doi.org/10.20537/nd1604009
(Mi nd545)
 

This article is cited in 3 scientific papers (total in 3 papers)

Original papers

Control of the motion of an unbalanced heavy ellipsoid in an ideal fluid using rotors

E. V. Vetchaninab, A. A. Kilincb

a Udmurt State University, ul. Universitetskaya 1, Izhevsk, 426034 Russia
b M.T.Kalashnikov Izhevsk State Technical University, ul. Studencheskaya 7, Izhevsk, 426069, Russia
c Institute of Mathematics and Mechanics of the Ural Branch of RAS, ul. S. Kovalevskoi 16, Ekaterinburg, 620990, Russia
Full-text PDF (304 kB) Citations (3)
References:
Abstract: This paper is concerned with the motion of an unbalanced heavy three-axial ellipsoid in an ideal fluid controlled by rotation of three internal rotors. It is proved that the motion of the body considered is controlled with respect to configuration variables except for some special cases. An explicit control that makes it possible to implement unbounded motion in an arbitrary direction has been calculated. Directions for which control actions are bounded functions of time have been determined.
Keywords: ideal fluid, motion of a rigid body, Kirchhoff equations, control by rotors, gaits.
Funding agency Grant number
Russian Foundation for Basic Research 15-08-09093-а
15-38-20879_мол_а_вед
Received: 25.11.2016
Accepted: 13.12.2016
Bibliographic databases:
Document Type: Article
UDC: 532.3
MSC: 70E60, 70Q05, 70Hxx
Language: Russian
Citation: E. V. Vetchanin, A. A. Kilin, “Control of the motion of an unbalanced heavy ellipsoid in an ideal fluid using rotors”, Nelin. Dinam., 12:4 (2016), 663–674
Citation in format AMSBIB
\Bibitem{VetKil16}
\by E.~V.~Vetchanin, A.~A.~Kilin
\paper Control of the motion of an unbalanced heavy ellipsoid in an ideal fluid using rotors
\jour Nelin. Dinam.
\yr 2016
\vol 12
\issue 4
\pages 663--674
\mathnet{http://mi.mathnet.ru/nd545}
\crossref{https://doi.org/10.20537/nd1604009}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3494057}
\elib{https://elibrary.ru/item.asp?id=27715770}
Linking options:
  • https://www.mathnet.ru/eng/nd545
  • https://www.mathnet.ru/eng/nd/v12/i4/p663
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Нелинейная динамика
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    Abstract page:329
    Full-text PDF :108
    References:73
     
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