### 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 | |
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Publisher | Katholieke Universiteit Leuven |

### Conference

Conference | 16th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2004 |
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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.