Stability and Stabilization of a Class of Boundary Control Systems

J.A. Villegas; H. Zwart; Y. Le Gorrec; B. Maschke; A.J. van der Schaft

Stability and Stabilization of a Class of Boundary Control Systems

J.A. Villegas
, H. Zwart
, Y. Le Gorrec
, B. Maschke
, A.J. van der Schaft

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

31 Citations (Scopus)

349 Downloads (Pure)

Abstract

We study a class of partial differential equations on a one dimensional spatial domain with control and observation at the boundary. For this class of systems we describe how to obtain an impedance energy-preserving system, as well as scattering energy-preserving system. For the first type of systems we consider (static and dynamic) feedback stabilization by means of boundary control. For the scattering energy-preserving systems we give conditions for which the system is either asymptotically or exponentially stable.

Original language	English
Title of host publication	Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference
Publisher	University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science
Number of pages	6
ISBN (Print)	0780395670
Publication status	Published - 2005

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@inproceedings{5424e2529d4b4360b87c26f13956fd2c,

title = "Stability and Stabilization of a Class of Boundary Control Systems",

abstract = "We study a class of partial differential equations on a one dimensional spatial domain with control and observation at the boundary. For this class of systems we describe how to obtain an impedance energy-preserving system, as well as scattering energy-preserving system. For the first type of systems we consider (static and dynamic) feedback stabilization by means of boundary control. For the scattering energy-preserving systems we give conditions for which the system is either asymptotically or exponentially stable.",

author = "J.A. Villegas and H. Zwart and Gorrec, \{Y. Le\} and B. Maschke and Schaft, \{A.J. van der\}",

note = "Relation: http://www.rug.nl/informatica/onderzoek/bernoulli Rights: University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science",

year = "2005",

language = "English",

isbn = "0780395670",

booktitle = "Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference",

publisher = "University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science",

}

Stability and Stabilization of a Class of Boundary Control Systems. / Villegas, J.A.; Zwart, H.; Gorrec, Y. Le et al.
Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference. University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science, 2005.

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

TY - GEN

T1 - Stability and Stabilization of a Class of Boundary Control Systems

AU - Villegas, J.A.

AU - Zwart, H.

AU - Gorrec, Y. Le

AU - Maschke, B.

AU - Schaft, A.J. van der

N1 - Relation: http://www.rug.nl/informatica/onderzoek/bernoulli Rights: University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science

PY - 2005

Y1 - 2005

N2 - We study a class of partial differential equations on a one dimensional spatial domain with control and observation at the boundary. For this class of systems we describe how to obtain an impedance energy-preserving system, as well as scattering energy-preserving system. For the first type of systems we consider (static and dynamic) feedback stabilization by means of boundary control. For the scattering energy-preserving systems we give conditions for which the system is either asymptotically or exponentially stable.

AB - We study a class of partial differential equations on a one dimensional spatial domain with control and observation at the boundary. For this class of systems we describe how to obtain an impedance energy-preserving system, as well as scattering energy-preserving system. For the first type of systems we consider (static and dynamic) feedback stabilization by means of boundary control. For the scattering energy-preserving systems we give conditions for which the system is either asymptotically or exponentially stable.

M3 - Conference contribution

SN - 0780395670

BT - Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference

PB - University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science

ER -

Stability and Stabilization of a Class of Boundary Control Systems

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