On interconnections of infinite-dimensional port-Hamiltonian systems

R.P. Ramkrishna Pasumarthy; Arjan van der Schaft

On interconnections of infinite-dimensional port-Hamiltonian systems

R.P. Ramkrishna Pasumarthy, Arjan van der Schaft

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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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.

Original language	Undefined
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/Territory	Belgium
City	Leuven
Period	5/07/04 → 9/07/04

Keywords

METIS-220145
EWI-16820
IR-69163

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Cite this

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title = "On interconnections of infinite-dimensional port-Hamiltonian systems",

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.",

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isbn = "9056825178",

publisher = "Katholieke Universiteit Leuven",

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Ramkrishna Pasumarthy, RP & 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. Katholieke Universiteit Leuven, Leuven, pp. -, 16th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2004, Leuven, Belgium, 5/07/04.

On interconnections of infinite-dimensional port-Hamiltonian systems. / Ramkrishna Pasumarthy, R.P.; van der Schaft, Arjan.

Proceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems. Leuven : Katholieke Universiteit Leuven, 2004. p. -.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - On interconnections of infinite-dimensional port-Hamiltonian systems

AU - Ramkrishna Pasumarthy, R.P.

AU - van der Schaft, Arjan

N1 - Conference code: 16

PY - 2004

Y1 - 2004

N2 - 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.

AB - 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.

KW - METIS-220145

KW - EWI-16820

KW - IR-69163

M3 - Conference contribution

SN - 9056825178

SP - -

BT - Proceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems

PB - Katholieke Universiteit Leuven

CY - Leuven

Y2 - 5 July 2004 through 9 July 2004

ER -