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.
| Original language | Undefined |
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| Title of host publication | Proceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems |
| Place of Publication | Leuven |
| Publisher | Katholieke Universiteit Leuven |
| Pages | - |
| Number of pages | 12 |
| ISBN (Print) | 9056825178 |
| Publication status | Published - 2004 |
| Event | 16th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2004 - Leuven, Belgium Duration: 5 Jul 2004 → 9 Jul 2004 Conference number: 16 |
Publication series
| Name | |
|---|---|
| Publisher | Katholieke Universiteit Leuven |
Conference
| Conference | 16th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2004 |
|---|---|
| Abbreviated title | MTNS |
| Country | Belgium |
| City | Leuven |
| Period | 5/07/04 → 9/07/04 |
Keywords
- METIS-220145
- EWI-16820
- IR-69163
Cite this
Ramkrishna Pasumarthy, R. P., & van der Schaft, A. (2004). On interconnections of infinite-dimensional port-Hamiltonian systems. In Proceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems (pp. -). Leuven: Katholieke Universiteit Leuven.