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This article is cited in 1 scientific paper (total in 1 paper) 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 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
DOI: https://doi.org/10.20537/nd1604009   Full text:
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Bibliographic databases:   UDC: 532.3 MSC: 70E60, 70Q05, 70Hxx Received: 25.11.2016 Accepted:13.12.2016 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), 
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Citing articles on Google Scholar: Russian citations, English citations Related articles on Google Scholar: Russian articles, English articles This publication is cited in the following articles:
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