English

The chain control set of a linear control system

Optimization and Control 2023-09-06 v2

Abstract

In this paper, we analyze the chain control sets of linear control systems on connected Lie groups. Our main result shows that the compactness of the central subgroup associated with the drift is a necessary and sufficient condition to assure the uniqueness and compactness of the chain control set.

Keywords

Cite

@article{arxiv.2306.12936,
  title  = {The chain control set of a linear control system},
  author = {Adriano Da Silva},
  journal= {arXiv preprint arXiv:2306.12936},
  year   = {2023}
}
R2 v1 2026-06-28T11:12:00.178Z