• DocumentCode
    2846521
  • Title

    Functional series expansions for continuous-time switched systems

  • Author

    Espinosa, L.A.D. ; Gray, W. Steven

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Johns Hopkins Univ., Baltimore, MD, USA
  • fYear
    2011
  • fDate
    June 29 2011-July 1 2011
  • Firstpage
    2607
  • Lastpage
    2612
  • Abstract
    The main objective of this paper is to describe a class of functional series expansions, known as Fliess operators, which admit inputs from a ball in an Lρ space as well as Poisson random processes. It is shown that a continuous-time switched input-affine nonlinear system with a Poisson switching signal can be represented as a Fliess operator, and that the underlying combinatorics can be used to obtain, for certain cases, a closed-form solution in terms of Poisson integrals.
  • Keywords
    continuous time systems; nonlinear control systems; series (mathematics); stochastic processes; Fliess operator; Poisson integral; Poisson random process; Poisson switching; continuous-time switched system; functional series expansion; input-affine nonlinear system; Atmospheric modeling; Convergence; Nonlinear systems; Stochastic processes; Switched systems; Switches; Xenon;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference (ACC), 2011
  • Conference_Location
    San Francisco, CA
  • ISSN
    0743-1619
  • Print_ISBN
    978-1-4577-0080-4
  • Type

    conf

  • DOI
    10.1109/ACC.2011.5990772
  • Filename
    5990772
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2846521