A Semigroup associated to a linear control system on a Lie group
Dynamical Systems
2016-07-12 v2
Abstract
Let us consider a linear control system \Sigma on a connected Lie group G. It is known that the accessibility set A from the identity e is in general not a semigroup. In this article we associate a new algebraic object S to \Sigma which turns out to be a semigroup, allowing the use of the semigroup machinery to approach \Sigma. In particular, we obtain some controllability results.
Cite
@article{arxiv.1605.00726,
title = {A Semigroup associated to a linear control system on a Lie group},
author = {Victor Ayala and Adriano da Silva},
journal= {arXiv preprint arXiv:1605.00726},
year = {2016}
}