Commutativity of Systems with their Feedback Conjugates
Systems and Control
2020-08-13 v1
Abstract
After introducing commutativity concept and summarizing the relevant literature, this work is focused on the commutativity of feedback conjugates. It is already known that a linear time-varying differential system describing a single input-single output dynamical system is always commutative with its constant gain feedback pairs. In this article, it is proven that among the time-varying feedback conjugates of a linear time-varying system, constant feedback conjugates are the only commutative feedback pairs and any of the time-varying feedback conjugates cannot constitutes a commutative pair of a linear time-varying system.
Cite
@article{arxiv.1709.04405,
title = {Commutativity of Systems with their Feedback Conjugates},
author = {Mehmet Emir Koksal},
journal= {arXiv preprint arXiv:1709.04405},
year = {2020}
}
Comments
13 pages, 2 figures