Additive Networks of Chen-Fliess Series: Local Convergence and Relative Degree
Systems and Control
2021-04-20 v1 Systems and Control
Abstract
Given an additive network of input-output systems where each node of the network is modeled by a locally convergent Chen-Fliess series, two basic properties of the network are established. First, it is shown that every input-output map between a given pair of nodes has a locally convergent Chen-Fliess series representation. Second, sufficient conditions are given under which the input-output map between a pair of nodes has a well defined relative degree as defined by its generating series. This analysis leads to the conclusion that this relative degree property is generic in a certain sense.
Keywords
Cite
@article{arxiv.2104.08950,
title = {Additive Networks of Chen-Fliess Series: Local Convergence and Relative Degree},
author = {W. Steven Gray and Luis A. Duffaut Espinosa and Kurusch Ebrahimi-Fard},
journal= {arXiv preprint arXiv:2104.08950},
year = {2021}
}