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arXiv · 1207.4732

On the port-Hamiltonian representation of systems described by partial differential equations

Markus Schöberl·Andreas Siuka
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Abstract

We consider infinite dimensional port-Hamiltonian systems. Based on a power balance relation we introduce the port-Hamiltonian system representation where we pay attention to two different scenarios, namely the non-differential operator case and the differential operator case regarding the structural mapping, the dissipation mapping and the in/output mapping. In contrast to the well-known representation on the basis of the underlying Stokes-Dirac structure our approach is not necessarily based on using energy-variables which leads to a different port-Hamiltonian representation of the analyzed partial differential equations.

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Markus Schöberl, Andreas Siuka. 2012-07-19. On the port-Hamiltonian representation of systems described by partial differential equations. https://doi.org/10.3182/20120829-3-it-4022.00001

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