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Contemporary Mathematics. Fundamental Directions, 2011, Volume 42, Pages 158–165
(Mi cmfd198)
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This article is cited in 1 scientific paper (total in 1 paper)
Asymptotics of extremal curves in the ball rolling problem on the plane
A. P. Mashtakov The Program Systems Institute of RAS, Pereslavl-Zalessky, Russia
Abstract:
In the present paper, we study an optimal sphere rolling problem on the plane (without slew and slip) with predefined boundary-value conditions. To solve it, we use methods from the optimal control theory. The controlled system for sphere orientation is represented via the rotation quaternion. Asymptotics of extremal paths on a sphere rolling along small-amplitude sine waves is found.
Citation:
A. P. Mashtakov, “Asymptotics of extremal curves in the ball rolling problem on the plane”, Proceedings of the International Conference on Mathematical Control Theory and Mechanics (Suzdal, July 3–7, 2009), CMFD, 42, PFUR, M., 2011, 158–165; Journal of Mathematical Sciences, 199:6 (2014), 687–694
Linking options:
https://www.mathnet.ru/eng/cmfd198 https://www.mathnet.ru/eng/cmfd/v42/p158
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Abstract page: | 265 | Full-text PDF : | 82 | References: | 38 |
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