English

A necessary and sufficient condition for local controllability around closed orbits

Optimization and Control 2013-12-17 v1

Abstract

In this paper we give a necessary and sufficient condition for local controllability around closed orbits for general smooth control systems. We also prove that any such system on a compact manifold has a closed orbit.

Keywords

Cite

@article{arxiv.1312.4181,
  title  = {A necessary and sufficient condition for local controllability around closed orbits},
  author = {Marek Grochowski},
  journal= {arXiv preprint arXiv:1312.4181},
  year   = {2013}
}
R2 v1 2026-06-22T02:27:57.926Z