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math.CO2014★ 3 cited
Dendriform-Tree Setting for Fully Non-commutative Fliess Operators
Luis A. Duffaut Espinosa, W. Steven Gray, Kurusch Ebrahimi-Fard
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 q…
math.CO2014★ 29 cited
A combinatorial Hopf algebra for nonlinear output feedback control systems
Luis A. Duffaut Espinosa, Kurusch Ebrahimi-Fard, W. Steven Gray
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 th…