A higher order Stokes-Dirac structure for distributed-parameter port-Hamiltonian systems

This paper studies an extension of a Stokes-Dirac structure which is treated in a port-Hamiltonian formulation of distributed-parameter systems for a higher order. The extended structure does not only use exterior derivative operators but Hodge star operators and their composite operators to relate flows with efforts. The structure represents a differential relation between energy variables and it shows clearly some geometric properties.