Conservative systems with ports on contact manifolds

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

Conservative systems with ports on contact manifolds

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

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

21 Citations (Scopus)

1 Downloads (Pure)

Abstract

In this paper we propose an extension of port Hamiltonian systems, called conservative systems with ports, which encompass systems arising from the Irreversible Thermodynamics. Firstly we lift a port Hamiltonian system from its state space manifold to the thermodynamic phase space to a contact vector field with inputs and outputs. Secondly, we define a more general class of contact vector field (called conservative system with ports) generated by a function corresponding to the power of a physical system and illustrate it on a simple example of irreversible system.

Original language	Undefined
Title of host publication	Proceedings of the 16th IFAC World Congress
Editors	P. Piztek
Place of Publication	Prague
Publisher	Elsevier
Pages	342-347
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-16854
conservative systems
METIS-225134
contact forms
Port Hamiltonian Systems
Irreversible Thermodynamics
IR-69198

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Cite this

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abstract = "In this paper we propose an extension of port Hamiltonian systems, called conservative systems with ports, which encompass systems arising from the Irreversible Thermodynamics. Firstly we lift a port Hamiltonian system from its state space manifold to the thermodynamic phase space to a contact vector field with inputs and outputs. Secondly, we define a more general class of contact vector field (called conservative system with ports) generated by a function corresponding to the power of a physical system and illustrate it on a simple example of irreversible system.",

keywords = "EWI-16854, conservative systems, METIS-225134, contact forms, Port Hamiltonian Systems, Irreversible Thermodynamics, IR-69198",

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AU - Eberard, D.

AU - Maschke, B.M.

AU - van der Schaft, Arjan

N1 - Conference code: 16

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Y1 - 2005/7

N2 - In this paper we propose an extension of port Hamiltonian systems, called conservative systems with ports, which encompass systems arising from the Irreversible Thermodynamics. Firstly we lift a port Hamiltonian system from its state space manifold to the thermodynamic phase space to a contact vector field with inputs and outputs. Secondly, we define a more general class of contact vector field (called conservative system with ports) generated by a function corresponding to the power of a physical system and illustrate it on a simple example of irreversible system.

AB - In this paper we propose an extension of port Hamiltonian systems, called conservative systems with ports, which encompass systems arising from the Irreversible Thermodynamics. Firstly we lift a port Hamiltonian system from its state space manifold to the thermodynamic phase space to a contact vector field with inputs and outputs. Secondly, we define a more general class of contact vector field (called conservative system with ports) generated by a function corresponding to the power of a physical system and illustrate it on a simple example of irreversible system.

KW - EWI-16854

KW - conservative systems

KW - METIS-225134

KW - contact forms

KW - Port Hamiltonian Systems

KW - Irreversible Thermodynamics

KW - IR-69198

M3 - Conference contribution

SN - 978-0-08-045108-4

SP - 342

EP - 347

BT - Proceedings of the 16th IFAC World Congress

A2 - Piztek, P.

PB - Elsevier

CY - Prague

T2 - 16th IFAC World Congress 2005

Y2 - 3 July 2005 through 8 July 2005

ER -