Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2014, Volume 10, Number 1, Pages 127–132 (Mi nd429)  
Comment on the paper by A. V. Borisov, A. A. Kilin, I. S. Mamaev “How to control the Chaplygin ball using rotors. II”

Tatyana B. Ivanova, Elena N. Pivovarova

Udmurt State University, Universitetskaya 1, Izhevsk, 426034 Russia
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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.
Received: 18.10.2013
Revised: 11.11.2013
Document Type: Article
UDC: 531.31, 531.44
MSC: 70E18, 70F40
Language: Russian
Citation: Tatyana B. Ivanova, Elena N. Pivovarova, “Comment on the paper by A. V. Borisov, A. A. Kilin, I. S. Mamaev “How to control the Chaplygin ball using rotors. II””, Nelin. Dinam., 10:1 (2014), 127–132
Citation in format AMSBIB
\Bibitem{IvaPiv14}
\by Tatyana~B.~Ivanova, Elena~N.~Pivovarova
\paper Comment on the paper by A.\,V.~Borisov, A.\,A.~Kilin, I.\,S.~Mamaev “How to control the Chaplygin ball using rotors.~II”
\jour Nelin. Dinam.
\yr 2014
\vol 10
\issue 1
\pages 127--132
\mathnet{http://mi.mathnet.ru/nd429}
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  • https://www.mathnet.ru/eng/nd/v10/i1/p127
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