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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2022, Volume 505, Pages 92–99
DOI: https://doi.org/10.31857/S2686954322040154 (Mi danma284) 		 
This article is cited in 6 scientific papers (total in 6 papers)

CONTROL PROCESSES

On optimal rotation of a rigid body by applying internal forces

G. M. Rozenblat

Moscow State Automobile and Road Technical University, Moscow, Russia
Citations (6)
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DOI: https://doi.org/10.31857/S2686954322040154
Abstract: The article describes results obtained for the problem of maximum rotation of a rigid body in a given time interval by moving an internal mass. The mass moves by applying a bounded force. Previously, similar problems were considered in which the displacements of an internal mass point were assumed to be kinematic with constrains imposed on the point’s speed. The obtained results are described by analytical, easily verifiable formulas. The optimal trajectory of the moving mass is a spiral that coils around the center of mass of the rigid body with a frequency increasing to infinity.
Keywords: optimal control, Pontryagin’s maximum principle, rigid body dynamics.
Presented: V. F. Zhuravlev
Received: 18.04.2022
Revised: 10.05.2022
Accepted: 17.05.2022
English version:
Doklady Mathematics, 2022, Volume 106, Issue 1, Pages 291–297
DOI: https://doi.org/10.1134/S1064562422040159
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: G. M. Rozenblat, “On optimal rotation of a rigid body by applying internal forces”, Dokl. RAN. Math. Inf. Proc. Upr., 505 (2022), 92–99; Dokl. Math., 106:1 (2022), 291–297
Citation in format AMSBIB
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\jour Dokl. Math.
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
     
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