A Hamiltonian formulation of boundary control systems

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

A Hamiltonian formulation of boundary control systems

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

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

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Abstract

A port controlled Hamiltonian formulation of the dynamics of distributed parameter systems is presented, which incorporates the energy flow through the boundary of the domain of the system, and which allows to represent the system as a boundary control Hamiltonian system. This port controlled Hamiltonian system is defined with respect to a Dirac structure associated with the exterior derivative and based on Stokes’ theorem. The definition is illustrated on the examples of the telegrapher’s equations, Maxwell’s equations, the vibrating string and Euler’s equations for fluid dynamics

Original language	English
Title of host publication	Pluralism in Distributed Parameter Systems
Subtitle of host publication	University of Twente, The Netherlands, 2–6 July, 2001
Editors	Ruth Curtain, Hans Zwart
Place of Publication	Enschede
Publisher	University of Twente
Pages	83-84
Number of pages	2
Publication status	Published - 2001
Event	Pluralism in Distributed Parameter Systems 2001 - University of Twente, Enschede, Netherlands Duration: 2 Jul 2001 → 6 Jul 2001

Workshop

Workshop	Pluralism in Distributed Parameter Systems 2001
Country/Territory	Netherlands
City	Enschede
Period	2/07/01 → 6/07/01

Keywords

METIS-200907

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Maschke2001hamiltonianFinal published version, 12.9 KB

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@inproceedings{e874e670f796490f9b8ec256be7d6c6e,

title = "A Hamiltonian formulation of boundary control systems",

abstract = "A port controlled Hamiltonian formulation of the dynamics of distributed parameter systems is presented, which incorporates the energy flow through the boundary of the domain of the system, and which allows to represent the system as a boundary control Hamiltonian system. This port controlled Hamiltonian system is defined with respect to a Dirac structure associated with the exterior derivative and based on Stokes{\textquoteright} theorem. The definition is illustrated on the examples of the telegrapher{\textquoteright}s equations, Maxwell{\textquoteright}s equations, the vibrating string and Euler{\textquoteright}s equations for fluid dynamics",

keywords = "METIS-200907",

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

year = "2001",

language = "English",

pages = "83--84",

editor = "Ruth Curtain and Hans Zwart",

booktitle = "Pluralism in Distributed Parameter Systems",

publisher = "University of Twente",

address = "Netherlands",

note = "Pluralism in Distributed Parameter Systems 2001 ; Conference date: 02-07-2001 Through 06-07-2001",

}

A Hamiltonian formulation of boundary control systems. / Maschke, B.M.; van der Schaft, A.J.

Pluralism in Distributed Parameter Systems: University of Twente, The Netherlands, 2–6 July, 2001. ed. / Ruth Curtain; Hans Zwart. Enschede : University of Twente, 2001. p. 83-84.

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

TY - GEN

T1 - A Hamiltonian formulation of boundary control systems

AU - Maschke, B.M.

AU - van der Schaft, A.J.

PY - 2001

Y1 - 2001

N2 - A port controlled Hamiltonian formulation of the dynamics of distributed parameter systems is presented, which incorporates the energy flow through the boundary of the domain of the system, and which allows to represent the system as a boundary control Hamiltonian system. This port controlled Hamiltonian system is defined with respect to a Dirac structure associated with the exterior derivative and based on Stokes’ theorem. The definition is illustrated on the examples of the telegrapher’s equations, Maxwell’s equations, the vibrating string and Euler’s equations for fluid dynamics

AB - A port controlled Hamiltonian formulation of the dynamics of distributed parameter systems is presented, which incorporates the energy flow through the boundary of the domain of the system, and which allows to represent the system as a boundary control Hamiltonian system. This port controlled Hamiltonian system is defined with respect to a Dirac structure associated with the exterior derivative and based on Stokes’ theorem. The definition is illustrated on the examples of the telegrapher’s equations, Maxwell’s equations, the vibrating string and Euler’s equations for fluid dynamics

KW - METIS-200907

M3 - Conference contribution

SP - 83

EP - 84

BT - Pluralism in Distributed Parameter Systems

A2 - Curtain, Ruth

A2 - Zwart, Hans

PB - University of Twente

CY - Enschede

T2 - Pluralism in Distributed Parameter Systems 2001

Y2 - 2 July 2001 through 6 July 2001

ER -

A Hamiltonian formulation of boundary control systems

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