Affine and bilinear systems on Lie groups
Dynamical Systems
2018-03-09 v1
Abstract
In this paper we study affine and bilinear systems on Lie groups. We show that there is an intrinsic connection between the solutions of both systems. Such relation allows us to obtain some preliminary controllability results of affne systems on compact and solvable Lie groups. We also show that the controllability property of bilinear systems is very restricted and may only be achieved if the state space G is an Euclidean space.
Cite
@article{arxiv.1803.02841,
title = {Affine and bilinear systems on Lie groups},
author = {Victor Ayala and Adriano Da Silva and Max Ferreira},
journal= {arXiv preprint arXiv:1803.02841},
year = {2018}
}