Port contact systems for irreversible thermodynamical systems

D. Eberard; B.M. Maschke; Arjan van der Schaft

doi:10.1109/CDC.2005.1583118

Port contact systems for irreversible thermodynamical systems

D. Eberard, B.M. Maschke, Arjan van der Schaft

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

20 Citations (Scopus)

100 Downloads (Pure)

Abstract

In this paper we propose a definition of control contact systems, generalizing input-output Hainiltonian systems, to cope with models arising from irreversible Thermodynamics. We exhibit a particular subclass of these systems, called conservative, that leaves invariant some Legendre submanifold (the geometric structures associated with thermodynamic properties). These systems, both energy-preserving and irreversible, are then used to analyze the loss-lessness of these systems with respect to different generating functions.

Original language	English
Title of host publication	Proceedings of the 44th IEEE Conference on Decision and Control and the European Control Conference (CDC-ECC '05)
Place of Publication	Seville
Publisher	IEEE
Pages	5977-5982
Number of pages	6
ISBN (Print)	0-7803-9567-0
DOIs	https://doi.org/10.1109/CDC.2005.1583118
Publication status	Published - Dec 2005
Event	44th Conference on Decision and Control, and 2005 European Control Conference, CDC-ECC 2005 - Melia Seville, Seville, Spain Duration: 12 Dec 2005 → 15 Dec 2005 Conference number: 44

Conference

Conference	44th Conference on Decision and Control, and 2005 European Control Conference, CDC-ECC 2005
Abbreviated title	CDC-ECC
Country/Territory	Spain
City	Seville
Period	12/12/05 → 15/12/05

Keywords

Port Hamiltonian Systems
Loss-less systems
Vector fields
Irreversible Thermodynamics

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10.1109/CDC.2005.1583118

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title = "Port contact systems for irreversible thermodynamical systems",

abstract = "In this paper we propose a definition of control contact systems, generalizing input-output Hainiltonian systems, to cope with models arising from irreversible Thermodynamics. We exhibit a particular subclass of these systems, called conservative, that leaves invariant some Legendre submanifold (the geometric structures associated with thermodynamic properties). These systems, both energy-preserving and irreversible, are then used to analyze the loss-lessness of these systems with respect to different generating functions.",

keywords = "Port Hamiltonian Systems, Loss-less systems, Vector fields, Irreversible Thermodynamics",

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

year = "2005",

month = dec,

doi = "10.1109/CDC.2005.1583118",

language = "English",

isbn = "0-7803-9567-0",

pages = "5977--5982",

booktitle = "Proceedings of the 44th IEEE Conference on Decision and Control and the European Control Conference (CDC-ECC '05)",

publisher = "IEEE",

address = "United States",

note = "44th Conference on Decision and Control, and 2005 European Control Conference, CDC-ECC 2005, CDC-ECC ; Conference date: 12-12-2005 Through 15-12-2005",

}

Eberard, D, Maschke, BM & van der Schaft, A 2005, Port contact systems for irreversible thermodynamical systems. in Proceedings of the 44th IEEE Conference on Decision and Control and the European Control Conference (CDC-ECC '05)., 10.1109/CDC.2005.1583118, IEEE, Seville, pp. 5977-5982, 44th Conference on Decision and Control, and 2005 European Control Conference, CDC-ECC 2005, Seville, Spain, 12/12/05. https://doi.org/10.1109/CDC.2005.1583118

Port contact systems for irreversible thermodynamical systems. / Eberard, D.; Maschke, B.M.; van der Schaft, Arjan.
Proceedings of the 44th IEEE Conference on Decision and Control and the European Control Conference (CDC-ECC '05). Seville: IEEE, 2005. p. 5977-5982 10.1109/CDC.2005.1583118.

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

TY - GEN

T1 - Port contact systems for irreversible thermodynamical systems

AU - Eberard, D.

AU - Maschke, B.M.

AU - van der Schaft, Arjan

N1 - Conference code: 44

PY - 2005/12

Y1 - 2005/12

N2 - In this paper we propose a definition of control contact systems, generalizing input-output Hainiltonian systems, to cope with models arising from irreversible Thermodynamics. We exhibit a particular subclass of these systems, called conservative, that leaves invariant some Legendre submanifold (the geometric structures associated with thermodynamic properties). These systems, both energy-preserving and irreversible, are then used to analyze the loss-lessness of these systems with respect to different generating functions.

AB - In this paper we propose a definition of control contact systems, generalizing input-output Hainiltonian systems, to cope with models arising from irreversible Thermodynamics. We exhibit a particular subclass of these systems, called conservative, that leaves invariant some Legendre submanifold (the geometric structures associated with thermodynamic properties). These systems, both energy-preserving and irreversible, are then used to analyze the loss-lessness of these systems with respect to different generating functions.

KW - Port Hamiltonian Systems

KW - Loss-less systems

KW - Vector fields

KW - Irreversible Thermodynamics

U2 - 10.1109/CDC.2005.1583118

DO - 10.1109/CDC.2005.1583118

M3 - Conference contribution

SN - 0-7803-9567-0

SP - 5977

EP - 5982

BT - Proceedings of the 44th IEEE Conference on Decision and Control and the European Control Conference (CDC-ECC '05)

PB - IEEE

CY - Seville

T2 - 44th Conference on Decision and Control, and 2005 European Control Conference, CDC-ECC 2005

Y2 - 12 December 2005 through 15 December 2005

ER -

Port contact systems for irreversible thermodynamical systems

Abstract

Conference

Keywords

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