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math.OC2015★ 12 cited
Discrete-Time Approximations of Fliess Operators
W. Steven Gray, Luis A. Duffaut Espinosa, Kurusch Ebrahimi-Fard
A convenient way to represent a nonlinear input-output system in control theory is via a Chen-Fliess functional expansion or Fliess operator. The general goal of this paper is to d…
math.OC2014★ 38 cited
Faa di Bruno Hopf Algebra of the Output Feedback Group for Multivariable Fliess Operators
W. Steven Gray, Luis A. Duffaut Espinosa, Kurusch Ebrahimi-Fard
Given two nonlinear input-output systems written in terms of Chen-Fliess functional expansions, it is known that the feedback interconnected system is always well defined and in th…