Explicit Simplicial Discretization of Distributed-Parameter Port-Hamiltonian Systems

نویسندگان

  • Marko Seslija
  • Jacquelien M. A. Scherpen
  • Arjan van der Schaft
چکیده

Simplicial Dirac structures as finite analogues of the canonical Stokes-Dirac structure, capturing the topological laws of the system, are defined on simplicial manifolds in terms of primal and dual cochains related by the coboundary operators. These finite-dimensional Dirac structures offer a framework for the formulation of standard input-output finite-dimensional portHamiltonian systems that emulate the behavior of distributed-parameter port-Hamiltonian systems. This paper elaborates on the matrix representations of simplicial Dirac structures and the resulting port-Hamiltonian systems on simplicial manifolds. Employing these representations, we consider the existence of structural invariants and demonstrate how they pertain to the energy shaping of port-Hamiltonian systems on simplicial manifolds.

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عنوان ژورنال:
  • Automatica

دوره 50  شماره 

صفحات  -

تاریخ انتشار 2014