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Regular and Chaotic Dynamics, 2014, Volume 19, Issue 1, Pages 140–143
DOI: https://doi.org/10.1134/S1560354714010092 (Mi rcd145) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Comments on the Paper by A.V. Borisov, A.A. Kilin, I.S. Mamaev "How to Control the Chaplygin Ball Using Rotors. II"

Tatiana B. Ivanova, Elena N. Pivovarova

Udmurt State University, ul. Universitetskaya 1, Izhevsk, 426034 Russia
Citations (16)
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DOI: https://doi.org/10.1134/S1560354714010092
Abstract: In this paper we consider the control of a dynamically asymmetric balanced ball on a plane in the case of slipping at the contact point. Necessary conditions under which a control is possible are obtained. Specific algorithms of control along a given trajectory are constructed.
Keywords: control, dry friction, Chaplygin’s ball, spherical robot.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation NSh-2964.2014.1
MD-2324.2013.1
MK-2171.2014.1
1.1248.2011
This work was supported by Analytic Departmental Target Program “Development of Scientific Potential of Higher Schools” for 2012–2014, no.1.1248.2011, the Grant of the President of the Russian Federation for Support of Leading Scientific Schools NSh-2964.2014.1, the grant of the President of the Russian Federation for the Support of Young Doctors of Science (MD-2324.2013.1) and Candidates of Science (MK-2171.2014.1).
Received: 16.11.2013
Accepted: 19.12.2013
Bibliographic databases:
Document Type: Article
MSC: 70F40, 70E18
Language: English
Citation: Tatiana B. Ivanova, Elena N. Pivovarova, “Comments on the Paper by A.V. Borisov, A.A. Kilin, I.S. Mamaev "How to Control the Chaplygin Ball Using Rotors. II"”, Regul. Chaotic Dyn., 19:1 (2014), 140–143
Citation in format AMSBIB
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\by Tatiana B. Ivanova, Elena N. Pivovarova
\paper Comments on the Paper by A.V. Borisov, A.A. Kilin, I.S. Mamaev "How to Control the Chaplygin Ball Using Rotors. II"
\jour Regul. Chaotic Dyn.
\yr 2014
\vol 19
\issue 1
\pages 140--143
\mathnet{http://mi.mathnet.ru/rcd145}
\crossref{https://doi.org/10.1134/S1560354714010092}
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\zmath{https://zbmath.org/?q=an:06506695}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84897867190}
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  • https://www.mathnet.ru/eng/rcd/v19/i1/p140
    Comments
    This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:55
     
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