Dendriform-Tree Setting for Fully Non-commutative Fliess Operators
arXiv:1409.0059 · doi:10.1109/CDC.2014.7040140
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.