Dendriform-Tree Setting for Fully Non-commutative Fliess Operators
Combinatorics
2020-12-08 v1
Abstract
This paper provides a dendriform-tree setting for Fliess operators with matrix-valued inputs. This class of analytic nonlinear input-output systems is convenient, for example, in quantum control. In particular, a description of such Fliess operators is provided using planar binary trees. Sufficient conditions for convergence of the defining series are also given.
Cite
@article{arxiv.1409.0059,
title = {Dendriform-Tree Setting for Fully Non-commutative Fliess Operators},
author = {Luis A. Duffaut Espinosa and W. Steven Gray and Kurusch Ebrahimi-Fard},
journal= {arXiv preprint arXiv:1409.0059},
year = {2020}
}