The General Solution for Affine Control Systems on Lie Groups
Optimization and Control
2020-03-30 v1
Abstract
The purpose of this paper is to present explicitly the solution curve for affine control systems on Lie groups under the assumption that automorphisms associated to the linear vector fields commutes. If we assume that the derivations associated to linear vector fields are inner, we obtain a simpler solution and we show some results of controllability. To end, we work with conjugation by homomorphism of Lie groups between affine systems.
Cite
@article{arxiv.2003.12486,
title = {The General Solution for Affine Control Systems on Lie Groups},
author = {João Paulo Lima de Oliveira and Alexandre José Santana and Simão Nicolau Stelmastchuk},
journal= {arXiv preprint arXiv:2003.12486},
year = {2020}
}