English

On invariant control sets for control systems on $S^3$

Optimization and Control 2023-09-08 v1

Abstract

In this paper we describe the Lie-theoretic structure of SO(1,4){\rm SO}(1,4) and consider control systems given by certain vector fields of SO(1,4){\rm SO}(1,4). Then we explicitly describe its invariant control sets in the unique SO(1,4){\rm SO}(1,4)-flag manifold, namely the sphere S3S^3.

Keywords

Cite

@article{arxiv.2309.03737,
  title  = {On invariant control sets for control systems on $S^3$},
  author = {Bruno Rodrigues and Luiz San Martin and Alexandre Santana},
  journal= {arXiv preprint arXiv:2309.03737},
  year   = {2023}
}
R2 v1 2026-06-28T12:15:20.643Z