Asymptotics of Extremal Curves in the Ball Rolling Problem on the Plane

被引：0
|
作者：
Mashtakov A.P. [1 ]
机构：
[1] The Program Systems Institute of RAS, Pereslavl-Zalessky
来源：
Journal of Mathematical Sciences | 2014年 / 199卷 / 6期
基金：
俄罗斯基础研究基金会;
关键词：
Hamiltonian System; Optimal Control Problem; Rolling Plane; Basis Coordinate System; Sphere Rolling;
D O I：
10.1007/s10958-014-1894-z
中图分类号：
学科分类号：
摘要：
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. © 2014 Springer Science+Business Media New York.
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页码：687 / 694
页数：7
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