Generating Series for Networks of Chen-Fliess Series
Systems and Control
2021-02-01 v2 Systems and Control
Optimization and Control
Abstract
Consider a set of single-input, single-output nonlinear systems whose input-output maps are described only in terms of convergent Chen-Fliess series without any assumption that finite dimensional state space models are available. It is shown that any additive or multiplicative interconnection of such systems always has a Chen-Fliess series representation that can be computed explicitly in terms of iterated formal Lie derivatives.
Keywords
Cite
@article{arxiv.2007.00743,
title = {Generating Series for Networks of Chen-Fliess Series},
author = {W. Steven Gray and Kurusch Ebrahimi-Fard},
journal= {arXiv preprint arXiv:2007.00743},
year = {2021}
}
Comments
Added and updated references, fixed typos