• DocumentCode
    2168795
  • Title

    Convergence of the state of a passive nonlinear plant with an L2 input

  • Author

    Jayawardhana, Bayu ; Weiss, George

  • Author_Institution
    Dept. Math. Sci., Univ. of Bath, Bath, UK
  • fYear
    2007
  • fDate
    2-5 July 2007
  • Firstpage
    4242
  • Lastpage
    4248
  • Abstract
    In this paper, we consider a strictly output passive nonlinear plant P with storage function H. We assume that P is zero-state detectable. Under some mild conditions on H, we show that the state x of the plant converges to zero for any L2 input. This implies the solvability for all t ≥ 0 of the system equations, for every input in Lloc2. We define a stability notion called L2 system-stable, a variant to the L2-stability concept, which has a nice interconnection properties.
  • Keywords
    computability; convergence; interconnected systems; nonlinear systems; stability; L2-stability concept; interconnection properties; passive nonlinear plant; solvability; stability notion; state convergence; storage function; Asymptotic stability; Circuit stability; Convergence; Equations; Nonlinear systems; Signal generators; Trajectory;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (ECC), 2007 European
  • Conference_Location
    Kos
  • Print_ISBN
    978-3-9524173-8-6
  • Type

    conf

  • Filename
    7068832
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2168795