Dendriform-tree setting for fully non-commutative Fliess operators
Luis A. Duffaut Espinosa, W. Steven Gray, Kurusch Ebrahimi‐Fard · 2014
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.