Motion Planning for Kinematic systems

Details Motion Planning for Kinematic systems Motion Planning for Kinematic systems

2012-03-26

arxiv.org/abs/1203.5623v1

Mathematics

Optimization and Control

Scientific paper

In this paper, we present a general theory of motion planning for kinematic systems. This theory has been developed for long by one of the authors in a previous series of papers. It is mostly based upon concepts from subriemannian geometry. Here, we summarize the results of the theory, and we improve on, by developping in details an intricated case: the ball with a trailer, which corresponds to a distribution with flag of type 2,3,5,6. This paper is dedicated to Bernard Bonnard for his 60th birthday.

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