• DocumentCode
    2190879
  • Title

    Nonlinear Hilbert adjoints of Fliess operators

  • Author

    Gray, W. Steven

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Old Dominion Univ., Norfolk, VA, USA
  • Volume
    3
  • fYear
    2001
  • fDate
    2001
  • Firstpage
    2625
  • Abstract
    The article presents a causal analytic nonlinear input-output system represented as a Chen-Fliess functional series. It goes on to investigate how to apply an existing notion of a nonlinear Hilbert adjoint operator to explicitly compute a corresponding adjoint operator. The method is demonstrated for the bilinear case
  • Keywords
    Hilbert spaces; bilinear systems; nonlinear control systems; series (mathematics); Chen-Fliess functional series; Fliess operators; bilinear case; causal analytic nonlinear input-output system; causal input-output map; nonlinear Hilbert adjoint operator; Convergence; Hilbert space; Reduced order systems; Signal mapping; State-space methods; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
  • Conference_Location
    Orlando, FL
  • Print_ISBN
    0-7803-7061-9
  • Type

    conf

  • DOI
    10.1109/.2001.980663
  • Filename
    980663
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2190879