Title :
Dendriform-tree setting for fully non-commutative Fliess operators
Author :
Duffaut Espinosa, Luis A. ; Gray, W. Steven ; Ebrahimi-Fard, Kurusch
Author_Institution :
Dept. of Electr. & Comput. Eng., George Mason Univ., Fairfax, VA, USA
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.
Keywords :
discrete time systems; mathematical operators; matrix algebra; nonlinear control systems; trees (mathematics); analytic nonlinear input-output systems; convergence; dendriform-tree setting; fully-noncommutative Fliess operators; matrix-valued inputs; planar binary trees; quantum control; sufficient conditions; Algebra; Binary trees; Computers; Convergence; Integral equations; Polynomials; Vegetation;
Conference_Titel :
Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
Conference_Location :
Los Angeles, CA
Print_ISBN :
978-1-4799-7746-8
DOI :
10.1109/CDC.2014.7040140
