From conservation laws to port-Hamiltonian representations of distributed-parameter systems

B.M. Maschke, Arjan van der Schaft

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

6 Citations (Scopus)

Abstract

Abstract: In this paper it is shown how the port-Hamiltonian formulation of distributed-parameter systems is closely related to the general thermodynamic framework of systems of conservation laws and closure equations. The situation turns out to be similar to the lumped-parameter case where the Dirac structure captures the basic interconnection laws, and the closure equations correspond to the constitutive relations of the energy-storing elements.
Original languageUndefined
Title of host publicationProceedings of the 16th IFAC World Congress
EditorsP. Piztek
Place of PublicationPrague
PublisherInternational Federation of Automatic Control
Pages483-488
Number of pages6
ISBN (Print)978-0-08-045108-4
Publication statusPublished - Jul 2005
Event16th IFAC World Congress 2005 - Prague, Czech Republic
Duration: 3 Jul 20058 Jul 2005
Conference number: 16
http://www.utia.cas.cz/news/608

Publication series

Name
PublisherElsevier

Conference

Conference16th IFAC World Congress 2005
CountryCzech Republic
CityPrague
Period3/07/058/07/05
Internet address

Keywords

  • EWI-16861
  • METIS-225139
  • IR-69201

Cite this

Maschke, B. M., & van der Schaft, A. (2005). From conservation laws to port-Hamiltonian representations of distributed-parameter systems. In P. Piztek (Ed.), Proceedings of the 16th IFAC World Congress (pp. 483-488). Prague: International Federation of Automatic Control.
Maschke, B.M. ; van der Schaft, Arjan. / From conservation laws to port-Hamiltonian representations of distributed-parameter systems. Proceedings of the 16th IFAC World Congress. editor / P. Piztek. Prague : International Federation of Automatic Control, 2005. pp. 483-488
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title = "From conservation laws to port-Hamiltonian representations of distributed-parameter systems",
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publisher = "International Federation of Automatic Control",
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Maschke, BM & van der Schaft, A 2005, From conservation laws to port-Hamiltonian representations of distributed-parameter systems. in P Piztek (ed.), Proceedings of the 16th IFAC World Congress. International Federation of Automatic Control, Prague, pp. 483-488, 16th IFAC World Congress 2005, Prague, Czech Republic, 3/07/05.

From conservation laws to port-Hamiltonian representations of distributed-parameter systems. / Maschke, B.M.; van der Schaft, Arjan.

Proceedings of the 16th IFAC World Congress. ed. / P. Piztek. Prague : International Federation of Automatic Control, 2005. p. 483-488.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

TY - GEN

T1 - From conservation laws to port-Hamiltonian representations of distributed-parameter systems

AU - Maschke, B.M.

AU - van der Schaft, Arjan

PY - 2005/7

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N2 - Abstract: In this paper it is shown how the port-Hamiltonian formulation of distributed-parameter systems is closely related to the general thermodynamic framework of systems of conservation laws and closure equations. The situation turns out to be similar to the lumped-parameter case where the Dirac structure captures the basic interconnection laws, and the closure equations correspond to the constitutive relations of the energy-storing elements.

AB - Abstract: In this paper it is shown how the port-Hamiltonian formulation of distributed-parameter systems is closely related to the general thermodynamic framework of systems of conservation laws and closure equations. The situation turns out to be similar to the lumped-parameter case where the Dirac structure captures the basic interconnection laws, and the closure equations correspond to the constitutive relations of the energy-storing elements.

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KW - METIS-225139

KW - IR-69201

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SN - 978-0-08-045108-4

SP - 483

EP - 488

BT - Proceedings of the 16th IFAC World Congress

A2 - Piztek, P.

PB - International Federation of Automatic Control

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ER -

Maschke BM, van der Schaft A. From conservation laws to port-Hamiltonian representations of distributed-parameter systems. In Piztek P, editor, Proceedings of the 16th IFAC World Congress. Prague: International Federation of Automatic Control. 2005. p. 483-488