Boundary control for a class of dissipative differential operators including diffusion systems

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

Boundary control for a class of dissipative differential operators including diffusion systems

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

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

109 Downloads (Pure)

Abstract

In this paper we study a class of partial differential equations (PDE's), which includes Sturm-Liouville systems and diffusion equations. From this class of PDE's we define systems with control and observation through the boundary of the spatial domain. That is, we describe how to select boundary conditions, such that the resulting system has inputs and outputs acting through the boundary. Furthermore, these boundary conditions are chosen in a way that the resulting system has a nonincreasing energy.

Original language	Undefined
Title of host publication	Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS)
Editors	Y Yamamoto
Place of Publication	Kyoto
Publisher	Kyoto University
Pages	297-304
Number of pages	11
ISBN (Print)	not assigned
Publication status	Published - 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	06EX1521

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

EWI-7993
IR-66573
METIS-238276

Access to Document

http://www-ics.acs.i.kyoto-u.ac.jp/~mtns2006/MTNS2006.pdf

Cite this

Villegas, J. A., Le Gorrec, Y., Zwart, H. J., & Maschke, B. M. (2006). Boundary control for a class of dissipative differential operators including diffusion systems. In Y. Yamamoto (Ed.), Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS) (pp. 297-304). Kyoto University. http://www-ics.acs.i.kyoto-u.ac.jp/~mtns2006/MTNS2006.pdf

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title = "Boundary control for a class of dissipative differential operators including diffusion systems",

abstract = "In this paper we study a class of partial differential equations (PDE's), which includes Sturm-Liouville systems and diffusion equations. From this class of PDE's we define systems with control and observation through the boundary of the spatial domain. That is, we describe how to select boundary conditions, such that the resulting system has inputs and outputs acting through the boundary. Furthermore, these boundary conditions are chosen in a way that the resulting system has a nonincreasing energy.",

keywords = "EWI-7993, IR-66573, METIS-238276",

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

year = "2006",

month = jul,

language = "Undefined",

isbn = "not assigned",

publisher = "Kyoto University",

number = "06EX1521",

pages = "297--304",

editor = "Y Yamamoto",

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

address = "Japan",

note = "17th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2006 ; Conference date: 24-07-2006 Through 28-07-2006",

}

Villegas, JA, Le Gorrec, Y, Zwart, HJ & Maschke, BM 2006, Boundary control for a class of dissipative differential operators including diffusion systems. in Y Yamamoto (ed.), Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS). Kyoto University, Kyoto, pp. 297-304, 17th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2006, Kyoto, Japan, 24/07/06. <http://www-ics.acs.i.kyoto-u.ac.jp/~mtns2006/MTNS2006.pdf>

Boundary control for a class of dissipative differential operators including diffusion systems. / Villegas, J.A.; Le Gorrec, Y.; Zwart, Heiko J. et al.
Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS). ed. / Y Yamamoto. Kyoto: Kyoto University, 2006. p. 297-304.

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

TY - GEN

T1 - Boundary control for a class of dissipative differential operators including diffusion systems

AU - Villegas, J.A.

AU - Le Gorrec, Y.

AU - Zwart, Heiko J.

AU - Maschke, B.M.

N1 - Conference code: 17

PY - 2006/7

Y1 - 2006/7

N2 - In this paper we study a class of partial differential equations (PDE's), which includes Sturm-Liouville systems and diffusion equations. From this class of PDE's we define systems with control and observation through the boundary of the spatial domain. That is, we describe how to select boundary conditions, such that the resulting system has inputs and outputs acting through the boundary. Furthermore, these boundary conditions are chosen in a way that the resulting system has a nonincreasing energy.

AB - In this paper we study a class of partial differential equations (PDE's), which includes Sturm-Liouville systems and diffusion equations. From this class of PDE's we define systems with control and observation through the boundary of the spatial domain. That is, we describe how to select boundary conditions, such that the resulting system has inputs and outputs acting through the boundary. Furthermore, these boundary conditions are chosen in a way that the resulting system has a nonincreasing energy.

KW - EWI-7993

KW - IR-66573

KW - METIS-238276

M3 - Conference contribution

SN - not assigned

SP - 297

EP - 304

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

A2 - Yamamoto, Y

PB - Kyoto University

CY - Kyoto

T2 - 17th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2006

Y2 - 24 July 2006 through 28 July 2006

ER -