Well-posedness and regularity for a class of hyperbolic boundary control systems

Heiko J. Zwart; Yann Le Gorrec; B.M. Maschke; J.A. Villegas

Well-posedness and regularity for a class of hyperbolic boundary control systems

Heiko J. Zwart, Yann Le Gorrec, B.M. Maschke, J.A. Villegas

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

Abstract

We study a class of hyperbolic partial differential equations on a one dimensional spatial domain with control and observation at the boundary. Using the idea of feedback we show this class of (boundary control) system defines a well-posed system in the sense of Weiss and Salamon. Furthermore, we show that the corresponding transfer function is regular, i.e., has a limit for s going to infinity.

Original language	Undefined
Title of host publication	Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems
Editors	Y Yamamoto
Place of Publication	Kyoto
Publisher	IEEE
Pages	1379-1383
Number of pages	5
ISBN (Print)	not assigned
Publication status	Published - 28 Jul 2006
Event	17th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2006 - Kyoto, Japan Duration: 24 Jul 2006 → 28 Jul 2006 Conference number: 17

Publication series

Name
Number	supplement

Conference

Conference	17th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2006
Abbreviated title	MTNS
Country/Territory	Japan
City	Kyoto
Period	24/07/06 → 28/07/06

Keywords

MSC-93B11
MSC-93C20
IR-63697
METIS-237626
EWI-8187

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Cite this

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title = "Well-posedness and regularity for a class of hyperbolic boundary control systems",

abstract = "We study a class of hyperbolic partial differential equations on a one dimensional spatial domain with control and observation at the boundary. Using the idea of feedback we show this class of (boundary control) system defines a well-posed system in the sense of Weiss and Salamon. Furthermore, we show that the corresponding transfer function is regular, i.e., has a limit for s going to infinity.",

keywords = "MSC-93B11, MSC-93C20, IR-63697, METIS-237626, EWI-8187",

author = "Zwart, {Heiko J.} and {Le Gorrec}, Yann and B.M. Maschke and J.A. Villegas",

year = "2006",

month = jul,

day = "28",

language = "Undefined",

isbn = "not assigned",

publisher = "IEEE",

number = "supplement",

pages = "1379--1383",

editor = "Y Yamamoto",

booktitle = "Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems",

note = "null ; Conference date: 24-07-2006 Through 28-07-2006",

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Zwart, HJ, Le Gorrec, Y, Maschke, BM & Villegas, JA 2006, Well-posedness and regularity for a class of hyperbolic boundary control systems. in Y Yamamoto (ed.), Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems. IEEE, Kyoto, pp. 1379-1383, 17th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2006, Kyoto, Japan, 24/07/06. <http://eprints.eemcs.utwente.nl/secure2/8187/01/MTNS06_hz_final.pdf>

Well-posedness and regularity for a class of hyperbolic boundary control systems. / Zwart, Heiko J.; Le Gorrec, Yann; Maschke, B.M. et al.

Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems. ed. / Y Yamamoto. Kyoto : IEEE, 2006. p. 1379-1383.

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

TY - GEN

T1 - Well-posedness and regularity for a class of hyperbolic boundary control systems

AU - Zwart, Heiko J.

AU - Le Gorrec, Yann

AU - Maschke, B.M.

AU - Villegas, J.A.

N1 - Conference code: 17

PY - 2006/7/28

Y1 - 2006/7/28

N2 - We study a class of hyperbolic partial differential equations on a one dimensional spatial domain with control and observation at the boundary. Using the idea of feedback we show this class of (boundary control) system defines a well-posed system in the sense of Weiss and Salamon. Furthermore, we show that the corresponding transfer function is regular, i.e., has a limit for s going to infinity.

AB - We study a class of hyperbolic partial differential equations on a one dimensional spatial domain with control and observation at the boundary. Using the idea of feedback we show this class of (boundary control) system defines a well-posed system in the sense of Weiss and Salamon. Furthermore, we show that the corresponding transfer function is regular, i.e., has a limit for s going to infinity.

KW - MSC-93B11

KW - MSC-93C20

KW - IR-63697

KW - METIS-237626

KW - EWI-8187

M3 - Conference contribution

SN - not assigned

SP - 1379

EP - 1383

BT - Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems

A2 - Yamamoto, Y

PB - IEEE

CY - Kyoto

Y2 - 24 July 2006 through 28 July 2006

ER -