Port contact systems for irreversible thermodynamical systems

D. Eberard; B.M. Maschke; A.J. van der Schaft

Port contact systems for irreversible thermodynamical systems

D. Eberard
, B.M. Maschke
, A.J. van der Schaft

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

21 Citations (Scopus)

292 Downloads (Pure)

Abstract

In this paper we propose a definition of control contact systems, generalizing input-output Hamiltonian 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 losslessness 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
Publisher	University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science
Pages	5977-5982
Number of pages	6
ISBN (Print)	0780395670
Publication status	Published - 2005

Keywords

lossless systems
contact vector fields
Irreversible Thermodynamics
Port Hamiltonian systems

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@inproceedings{c7bcaad0997f4e169b59230733257c8e,

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

abstract = "In this paper we propose a definition of control contact systems, generalizing input-output Hamiltonian 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 losslessness of these systems with respect to different generating functions.",

keywords = "lossless systems, contact vector fields, Irreversible Thermodynamics, Port Hamiltonian systems",

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

note = "Relation: http://www.rug.nl/informatica/onderzoek/bernoulli Rights: University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science",

year = "2005",

language = "English",

isbn = "0780395670",

pages = "5977--5982",

booktitle = "Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference",

publisher = "University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science",

}

Port contact systems for irreversible thermodynamical systems. / Eberard, D.; Maschke, B.M.; Schaft, A.J. van der.
Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference. University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science, 2005. p. 5977-5982.

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 - Schaft, A.J. van der

N1 - Relation: http://www.rug.nl/informatica/onderzoek/bernoulli Rights: University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science

PY - 2005

Y1 - 2005

N2 - In this paper we propose a definition of control contact systems, generalizing input-output Hamiltonian 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 losslessness of these systems with respect to different generating functions.

AB - In this paper we propose a definition of control contact systems, generalizing input-output Hamiltonian 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 losslessness of these systems with respect to different generating functions.

KW - lossless systems

KW - contact vector fields

KW - Irreversible Thermodynamics

KW - Port Hamiltonian systems

M3 - Conference contribution

SN - 0780395670

SP - 5977

EP - 5982

BT - Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference

PB - University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science

ER -

Port contact systems for irreversible thermodynamical systems

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Keywords

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