Topological method for controllability
Abstract
In this work, we found a non trivial topology to achieve the controllability for linear and nonlinear system in finite or infinite time horizon. We give several examples illustrating this topologizing method for the controllability results. We obtain by the way the controllability for the one dimensional Schr\"odinger. We also apply this method to achieve the both controllability of Korteweg-de Vries and Saint-Venant equations.
Cite
@article{arxiv.1904.09250,
title = {Topological method for controllability},
author = {Dieye Moustapha},
journal= {arXiv preprint arXiv:1904.09250},
year = {2019}
}
Comments
I found a "good" topology to achieve the controllability for linear and nonlinear system in finite or infinite time horizon. I give several applications illustrating this topologizing method for the controllability results. This method works for the study of controllability when some classical methods are no longer useful