English

Local geometric control of a certain mechanism with the growth vector (4,7)

Differential Geometry 2019-03-21 v3

Abstract

We study local control of the mechanism with the growth vector (4,7). We study controllability and extremal trajectories on the nilpotent approximation as an example of the control theory on Lie group. We give solutions of the system an show examples of local extremal trajectories.

Keywords

Cite

@article{arxiv.1802.08480,
  title  = {Local geometric control of a certain mechanism with the growth vector (4,7)},
  author = {Jaroslav Hrdina and Lenka Zalabova},
  journal= {arXiv preprint arXiv:1802.08480},
  year   = {2019}
}