Geometric conditions for the existence of a rolling without twisting or slipping

Author:

Godoy Molina Mauricio, ,Grong Erlend,

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Medicine,Applied Mathematics,Analysis

Reference26 articles.

1. Rolling balls and octonions,;A. Agrachev;Proc. Steklov Inst. Math.,2007

2. "Control Theory from the Geometric Viewpoint,'';A. Agrachev;Springer,2004

3. Nonholonomic dynamics,;A. M. Bloch;Notices Amer. Math. Soc.,2005

4. $G_2$ and the rolling distribution,;G. Bor;L'Ens. Math.,2009

5. Les systèmes de Pfaff, à cinq variables et les équations aux dérivées partielles du second ordre,;\'E. Cartan;Ann. Sci. \'Ecole Norm. Sup.,1910

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Cartan ribbonization and a topological inspection;Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences;2018-12

2. Introduction to the intrinsic rolling with indefinite metric;Communications in Analysis and Geometry;2016

3. Symmetries of the rolling model;Mathematische Zeitschrift;2015-08-04

4. On the Controllability of the Rolling Problem onto the Hyperbolic $n$-space;SIAM Journal on Control and Optimization;2015-01

5. The rolling problem: overview and challenges;Geometric Control Theory and Sub-Riemannian Geometry;2014

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