On interconnections of infinite-dimensional port-Hamiltonian systems


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Pasumarthy, Ramkrishna and Schaft, Arjan J. van der (2004) On interconnections of infinite-dimensional port-Hamiltonian systems. In: 16th International Symposium on Mathematical Theory of Networks and Systems, 5-9 July 2004, Leuven, Belgium.

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Abstract:Network modeling of complex physical systems leads to a class of nonlinear systems called port-Hamiltonian systems, which are defined with respect to a Dirac structure (a geometric structure which formalizes the power-conserving interconnection structure of the system). A power conserving interconnection of Dirac structures is again a Dirac structure. In this paper we study interconnection properties of mixed finite and infinite dimensional port-Hamiltonian systems and show that this interconnection again defines a port-Hamiltonian system. We also investigate which closed-loop port-Hamiltonian systems can be achieved by power conserving interconnections of finite and infinite dimensional port-Hamiltonian systems. Finally we study these results with particular reference to the transmission line.
Item Type:Conference or Workshop Item
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Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/69163
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