• DocumentCode
    115668
  • 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
  • fYear
    2014
  • fDate
    15-17 Dec. 2014
  • Firstpage
    4814
  • Lastpage
    4819
  • 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;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
  • Conference_Location
    Los Angeles, CA
  • Print_ISBN
    978-1-4799-7746-8
  • Type

    conf

  • DOI
    10.1109/CDC.2014.7040140
  • Filename
    7040140
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=115668