The chain control set of discrete-time linear system on the affine two-dimensional Lie group
Optimization and Control
2024-03-26 v4
Abstract
In this paper, we present conditions for the existence and uniqueness of chain control sets of discrete-time linear systems on the affine two-dimensional Lie group. More specifically, we prove that these chain control sets are given by the union of an infinite number of control sets with empty interiors.
Cite
@article{arxiv.2304.08705,
title = {The chain control set of discrete-time linear system on the affine two-dimensional Lie group},
author = {Thiago Cavalheiro and Alexandre Santana and João Cossich},
journal= {arXiv preprint arXiv:2304.08705},
year = {2024}
}