A combinatorial Hopf algebra for nonlinear output feedback control systems
Combinatorics
2016-03-03 v2 Rings and Algebras
Abstract
In this work a combinatorial description is provided of a Faa di Bruno type Hopf algebra which naturally appears in the context of Fliess operators in nonlinear feedback control theory. It is a connected graded commutative and non-cocommutative Hopf algebra defined on rooted circle trees. A cancellation free forest formula for its antipode is given.
Keywords
Cite
@article{arxiv.1406.5396,
title = {A combinatorial Hopf algebra for nonlinear output feedback control systems},
author = {Luis A. Duffaut Espinosa and Kurusch Ebrahimi-Fard and W. Steven Gray},
journal= {arXiv preprint arXiv:1406.5396},
year = {2016}
}
Comments
revised and updated