On the structural properties of the bounded control set of a linear control system
Optimization and Control
2022-01-20 v2 Dynamical Systems
Abstract
The present paper shows that the bounded control set of a linear system on a connected Lie group contains all the bounded orbits of the system. As a consequence, its closure is the continuous image of the cartesian product of the set of control functions by the central subgroup associated with the drift of the system.
Keywords
Cite
@article{arxiv.2002.00436,
title = {On the structural properties of the bounded control set of a linear control system},
author = {Victor Ayala and Adriano Da Silva},
journal= {arXiv preprint arXiv:2002.00436},
year = {2022}
}