Approximation of the telegrapher's equations

G. Golo; V. Talasila; Arjan van der Schaft

doi:10.1109/CDC.2002.1185099

Approximation of the telegrapher's equations

G. Golo
, V. Talasila
, Arjan van der Schaft

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

5 Citations (Scopus)

323 Downloads (Pure)

Abstract

The problem of approximating a distributed parameter system with free boundary conditions is solved for the 1-dimensional Telegrapher's equations. The Telegrapher's equations are described using an infinite-dimensional port-Hamiltonian model, and we derive a finite dimensional port-Hamiltonian model using a mixed finite-element procedure. We show that energy conservation, passivity and some dynamic invariants are preserved in the discretization.

Original language	Undefined
Title of host publication	Proceedings of the 41st IEEE Conference on Decision and Control
Place of Publication	Piscataway, NJ, USA
Publisher	IEEE
Pages	4587-4592
Number of pages	6
ISBN (Print)	0780375173
DOIs	https://doi.org/10.1109/CDC.2002.1185099
Publication status	Published - 10 Dec 2002
Event	41st IEEE Conference on Decision and Control, CDC 2002 - Las Vegas, United States Duration: 10 Dec 2002 → 13 Dec 2002 Conference number: 41

Publication series

Name
Publisher	IEEE
Volume	4

Conference

Conference	41st IEEE Conference on Decision and Control, CDC 2002
Abbreviated title	CDC
Country/Territory	United States
City	Las Vegas
Period	10/12/02 → 13/12/02

Keywords

IR-44934
METIS-210869

Access to Document

10.1109/CDC.2002.1185099

01185099

Cite this

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AU - Talasila, V.

AU - van der Schaft, Arjan

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Y1 - 2002/12/10

N2 - The problem of approximating a distributed parameter system with free boundary conditions is solved for the 1-dimensional Telegrapher's equations. The Telegrapher's equations are described using an infinite-dimensional port-Hamiltonian model, and we derive a finite dimensional port-Hamiltonian model using a mixed finite-element procedure. We show that energy conservation, passivity and some dynamic invariants are preserved in the discretization.

AB - The problem of approximating a distributed parameter system with free boundary conditions is solved for the 1-dimensional Telegrapher's equations. The Telegrapher's equations are described using an infinite-dimensional port-Hamiltonian model, and we derive a finite dimensional port-Hamiltonian model using a mixed finite-element procedure. We show that energy conservation, passivity and some dynamic invariants are preserved in the discretization.

KW - IR-44934

KW - METIS-210869

U2 - 10.1109/CDC.2002.1185099

DO - 10.1109/CDC.2002.1185099

M3 - Conference contribution

SN - 0780375173

SP - 4587

EP - 4592

BT - Proceedings of the 41st IEEE Conference on Decision and Control

PB - IEEE

CY - Piscataway, NJ, USA

T2 - 41st IEEE Conference on Decision and Control, CDC 2002

Y2 - 10 December 2002 through 13 December 2002

ER -