On structure-preserving discretization of distributed parameter port-Hamiltonian systems

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The underlying structure of port-Hamiltonian systems considered
in this paper is a Stokes-Dirac structure [1] and
as such is defined on a certain space of differential forms
on a smooth finite-dimensional orientable manifold with a
boundary. The Stokes-Dirac structure generalizes the framework
of the Poisson and symplectic structures by providing
a theoretical account that permits the inclusion of varying
boundary variables in the boundary problem for partial
differential equations. From an interconnection and control
viewpoint, such a treatment of boundary conditions is
essential for the incorporation of energy exchange through
the boundary, since in many applications the interconnection
with the environment takes place precisely through the
boundary. For numerical integration, simulation and control
synthesis, it is of paramount interest to have finite approximations
that can be interconnected to one another or via
the boundary coupled to the other systems, be they finite- or
Original languageEnglish
Number of pages1
Publication statusPublished - 15-Mar-2011
Event30th Benelux meeting on Systems and Control - Lommel, Belgium
Duration: 15-Mar-201117-Mar-2011


Conference30th Benelux meeting on Systems and Control


  • Structure-preserving discretization
  • distributed parameter
  • port-Hamiltonian

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