Jet bundle formulation of infinite-dimensional port-Hamiltonian systems using differential operators |
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Authors: | Markus Schöberl Andreas Siuka |
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Affiliation: | 1. Johannes Kepler University Linz, Institute of Automatic Control and Control Systems Technology, Austria;2. BMW Motoren GmbH, Steyr, Austria |
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Abstract: | We consider infinite-dimensional port-Hamiltonian systems described on jet bundles. Based on a power balance relation we introduce the port-Hamiltonian system representation using differential operators regarding the structural mapping, the dissipation mapping and the input 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. The presented constructions will be specialized to mechanical systems to which class also the presented examples belong. |
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Keywords: | Port-Hamiltonian systems Differential geometry Infinite-dimensional systems Partial differential equations System theory |
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