• DocumentCode
    700901
  • Title

    A Hamiltonian framework for interconnected physical systems

  • Author

    Dalsmo, M. ; van der Schaft, A.J.

  • Author_Institution
    ABB Corp. Res., Billingstad, Norway
  • fYear
    1997
  • fDate
    1-7 July 1997
  • Firstpage
    2792
  • Lastpage
    2797
  • Abstract
    In the present paper we elaborate on the underlying Hamiltonian structure of interconnected energy-conserving physical systems. We show how these systems can be described as implicit generalized Hamiltonian systems (with and without external inputs) using the notion of a generalized Dirac structure. Fundamental mathematical questions concerning the representation and integrability of implicit generalized Hamiltonian systems are addressed.
  • Keywords
    interconnected systems; nonlinear control systems; nonlinear dynamical systems; Dirac structure; Hamiltonian framework; interconnected energy-conserving physical system; nonlinear dynamics; Aerospace electronics; Integrated circuit interconnections; Jacobian matrices; Manifolds; Mathematical model; Mechanical systems; Object oriented modeling; Modelling; Nonlinear control; Nonlinear dynamics;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (ECC), 1997 European
  • Conference_Location
    Brussels
  • Print_ISBN
    978-3-9524269-0-6
  • Type

    conf

  • Filename
    7082532