Combinatorial Hopf algebra for interconnected nonlinear systems
Optimization and Control
2019-04-09 v1 Combinatorics
Abstract
A detailed expose of the Hopf algebra approach to interconnected input-output systems in nonlinear control theory is presented. The focus is on input-output systems that can been represented in terms of Chen-Fliess functional expansions or Fliess operators. This provides a starting point for a discrete-time version of this theory. In particular, the notion of a discrete-time Fliess operator is given and a class of parallel interconnections is described.
Keywords
Cite
@article{arxiv.1805.02954,
title = {Combinatorial Hopf algebra for interconnected nonlinear systems},
author = {Luis A. Duffaut Espinosa and Kurusch Ebrahimi-Fard and W. Steven Gray},
journal= {arXiv preprint arXiv:1805.02954},
year = {2019}
}
Comments
43 pages, review article