• DocumentCode
    2006532
  • Title

    A Hopf algebra for product connections of analytic nonlinear input-output systems

  • Author

    Gray, W. Steven

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Old Dominion Univ., Norfolk, VA, USA
  • fYear
    2012
  • fDate
    11-13 March 2012
  • Firstpage
    226
  • Lastpage
    230
  • Abstract
    A combinatorial Hopf algebra is described corresponding to a class of analytic nonlinear integral operators known as Fliess operators which are interconnected in a parallel fashion so that their outputs are multiplied componentwise.
  • Keywords
    algebra; nonlinear control systems; series (mathematics); set theory; Fliess operator; Hopf algebra; analytic nonlinear input-output system; analytic nonlinear integral operator; product connection; Algebra; Control systems; Convolution; Differential equations; Educational institutions; Polynomials; System-on-a-chip;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    System Theory (SSST), 2012 44th Southeastern Symposium on
  • Conference_Location
    Jacksonville, FL
  • ISSN
    0094-2898
  • Print_ISBN
    978-1-4577-1492-4
  • Type

    conf

  • DOI
    10.1109/SSST.2012.6195116
  • Filename
    6195116