Boundary Control Systems and the System Node

J.A. Villegas; Y. Le Gorrec; Heiko J. Zwart; Arjan van der Schaft

Boundary Control Systems and the System Node

J.A. Villegas, Y. Le Gorrec, Heiko J. Zwart, Arjan van der Schaft

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

Abstract

In this paper we show how to formulate a boundary control system in terms of the system node, that is, as an operator $ \mathcal{S}:= \left[ \begin{smallmatrix} A\& B\, \\ C\& D \end{smallmatrix}\right]:D(S) \rightarrow \vects{ X }{ Y }$ where $X$ is the state space and $Y$ is the output space. Here we give results which show how to find the top part of this operator and its domain in an easy way. For a class of boundary control systems, associated with a skew-symmetric differential operator, we completely identify the system node. Some results about stability and approximate observability are presented for this class of systems.

Original language	Undefined
Title of host publication	Proceedings of the 16th IFAC World Congress
Editors	P Horacek, M Simandl, P Zitek
Place of Publication	Amsterdam
Publisher	International Federation of Automatic Control
Pages	-
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-8283
IR-63719
METIS-225037

Access to Document

http://eprints.eemcs.utwente.nl/secure2/8283/01/IFAC_2004.pdf

Cite this

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title = "Boundary Control Systems and the System Node",

abstract = "In this paper we show how to formulate a boundary control system in terms of the system node, that is, as an operator $ \mathcal{S}:= \left[ \begin{smallmatrix} A\& B\, \\ C\& D \end{smallmatrix}\right]:D(S) \rightarrow \vects{ X }{ Y }$ where $X$ is the state space and $Y$ is the output space. Here we give results which show how to find the top part of this operator and its domain in an easy way. For a class of boundary control systems, associated with a skew-symmetric differential operator, we completely identify the system node. Some results about stability and approximate observability are presented for this class of systems.",

keywords = "EWI-8283, IR-63719, METIS-225037",

author = "J.A. Villegas and {Le Gorrec}, Y. and Zwart, {Heiko J.} and {van der Schaft}, Arjan",

year = "2005",

month = jul,

language = "Undefined",

isbn = "978-0-08-045108-4",

publisher = "International Federation of Automatic Control",

pages = "--",

editor = "P Horacek and M Simandl and P Zitek",

booktitle = "Proceedings of the 16th IFAC World Congress",

note = "null ; Conference date: 03-07-2005 Through 08-07-2005",

url = "http://www.utia.cas.cz/news/608",

}

Villegas, JA, Le Gorrec, Y, Zwart, HJ & van der Schaft, A 2005, Boundary Control Systems and the System Node. in P Horacek, M Simandl & P Zitek (eds), Proceedings of the 16th IFAC World Congress. International Federation of Automatic Control, Amsterdam, pp. -, 16th IFAC World Congress 2005, Prague, Czech Republic, 3/07/05. <http://eprints.eemcs.utwente.nl/secure2/8283/01/IFAC_2004.pdf>

Boundary Control Systems and the System Node. / Villegas, J.A.; Le Gorrec, Y.; Zwart, Heiko J.; van der Schaft, Arjan.

Proceedings of the 16th IFAC World Congress. ed. / P Horacek; M Simandl; P Zitek. Amsterdam : International Federation of Automatic Control, 2005. p. -.

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

TY - GEN

T1 - Boundary Control Systems and the System Node

AU - Villegas, J.A.

AU - Le Gorrec, Y.

AU - Zwart, Heiko J.

AU - van der Schaft, Arjan

N1 - Conference code: 16

PY - 2005/7

Y1 - 2005/7

N2 - In this paper we show how to formulate a boundary control system in terms of the system node, that is, as an operator $ \mathcal{S}:= \left[ \begin{smallmatrix} A\& B\, \\ C\& D \end{smallmatrix}\right]:D(S) \rightarrow \vects{ X }{ Y }$ where $X$ is the state space and $Y$ is the output space. Here we give results which show how to find the top part of this operator and its domain in an easy way. For a class of boundary control systems, associated with a skew-symmetric differential operator, we completely identify the system node. Some results about stability and approximate observability are presented for this class of systems.

AB - In this paper we show how to formulate a boundary control system in terms of the system node, that is, as an operator $ \mathcal{S}:= \left[ \begin{smallmatrix} A\& B\, \\ C\& D \end{smallmatrix}\right]:D(S) \rightarrow \vects{ X }{ Y }$ where $X$ is the state space and $Y$ is the output space. Here we give results which show how to find the top part of this operator and its domain in an easy way. For a class of boundary control systems, associated with a skew-symmetric differential operator, we completely identify the system node. Some results about stability and approximate observability are presented for this class of systems.

KW - EWI-8283

KW - IR-63719

KW - METIS-225037

M3 - Conference contribution

SN - 978-0-08-045108-4

SP - -

BT - Proceedings of the 16th IFAC World Congress

A2 - Horacek, P

A2 - Simandl, M

A2 - Zitek, P

PB - International Federation of Automatic Control

CY - Amsterdam

Y2 - 3 July 2005 through 8 July 2005

ER -