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

B.M. Maschke; Arjan van der Schaft

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 proceeding › Conference contribution › Academic › peer-review

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 language	Undefined
Title of host publication	Proceedings of the 16th IFAC World Congress
Editors	P. Piztek
Place of Publication	Prague
Publisher	International Federation of Automatic Control
Pages	483-488
Number of pages	6
ISBN (Print)	978-0-08-045108-4
Publication status	Published - Jul 2005
Event	16th IFAC World Congress 2005 - Prague, Czech Republic Duration: 3 Jul 2005 → 8 Jul 2005 Conference number: 16 http://www.utia.cas.cz/news/608

Publication series

Name
Publisher	Elsevier

Conference

Conference	16th IFAC World Congress 2005
Country/Territory	Czech Republic
City	Prague
Period	3/07/05 → 8/07/05
Internet address	http://www.utia.cas.cz/news/608

Keywords

EWI-16861
METIS-225139
IR-69201

Access to Document

Cite this

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title = "From conservation laws to port-Hamiltonian representations of distributed-parameter systems",

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.",

keywords = "EWI-16861, METIS-225139, IR-69201",

author = "B.M. Maschke and {van der Schaft}, Arjan",

year = "2005",

month = jul,

language = "Undefined",

isbn = "978-0-08-045108-4",

publisher = "International Federation of Automatic Control",

pages = "483--488",

editor = "P. Piztek",

booktitle = "Proceedings of the 16th IFAC World Congress",

note = "16th IFAC World Congress 2005 ; Conference date: 03-07-2005 Through 08-07-2005",

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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. <http://eprints.eemcs.utwente.nl/secure2/16861/01/ifac-wc-2005016-01jul-0734masc.pdf>

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 proceeding › Conference contribution › Academic › peer-review

TY - GEN

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

AU - Maschke, B.M.

AU - van der Schaft, Arjan

N1 - Conference code: 16

PY - 2005/7

Y1 - 2005/7

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.

KW - EWI-16861

KW - METIS-225139

KW - IR-69201

M3 - Conference contribution

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

CY - Prague

T2 - 16th IFAC World Congress 2005

Y2 - 3 July 2005 through 8 July 2005

ER -