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Control of Nonholonomic Systems: from Sub-Riemannian Geometry to Motion Planning.
・ISBN 978-3-319-08689-7 paper EUR 69.99
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| 著者・編者 | Jean, Frederic, |
|---|---|
| シリーズ | (SpringerBriefs in Mathematics) |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2014 |
| ページ数 | 104 pp. |
| 言語 | ENG |
| ニュース番号 | ＜A05-25120＞ |
解説
Nonholonomic systems are control systems which depend linearly on the control. Their underlying geometry is the sub-Riemannian geometry, which plays for these systems the same role as Euclidean geometry does for linear systems. In particular the usual notions of approximations at the first order, that are essential for control purposes, have to be defined in terms of this geometry. The aim of these notes is to present these notions of approximation and their application to the motion planning problem for nonholonomic systems.