Controllability of discrete-time linear systems on solvable Lie groups
Optimization and Control
2024-06-11 v6
Abstract
The objective of this paper is to study the controllability of discrete-time linear control systems in solvable Lie groups. In the special case of nilpotent Lie groups, a necessary and sufficient condition for controllability is established. Furthermore, the class of discrete-time linear systems in the two-dimensional affine Lie group is constructed and a condition for controllability of these systems is also stated.
Cite
@article{arxiv.2302.00145,
title = {Controllability of discrete-time linear systems on solvable Lie groups},
author = {Thiago Cavalheiro and Alexandre Santana and João Cossich and Victor Ayala},
journal= {arXiv preprint arXiv:2302.00145},
year = {2024}
}