| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6414359 | Journal of Algebra | 2016 | 35 Pages |
Abstract
In this work a combinatorial description is provided of a Faà 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Luis A. Duffaut Espinosa, Kurusch Ebrahimi-Fard, W. Steven Gray,