Nice port-Hamiltonian systems are Riesz-spectral systems

Research output: Contribution in Book/Catalog/Report/Conference proceedingConference contribution

10 Downloads (Pure)

Abstract

It is shown that the class of infinite-dimensional nice port-Hamiltonian systems including a large range of distributed parameter systems with boundary control is a subclass of Riesz-spectral systems. This result is illustrated by an example of a vibrating string.
Original languageEnglish
Title of host publicationPreprints of the 20th IFAC Wolrd Congress
PublisherIFAC
Pages695-699
Number of pages5
Publication statusPublished - 2017

Fingerprint

Distributed Parameter Systems
Boundary Control
Hamiltonian Systems
Strings
Range of data
Class

Keywords

  • distributed-arameter system
  • Infinite-dimensional systems
  • exponential stability
  • port-Hamiltonian system
  • Riesz basis
  • Riesz-spectral system

Cite this

Lamoline, F., & Winkin, J. (2017). Nice port-Hamiltonian systems are Riesz-spectral systems. In Preprints of the 20th IFAC Wolrd Congress (pp. 695-699). IFAC.
Lamoline, François ; Winkin, Joseph. / Nice port-Hamiltonian systems are Riesz-spectral systems. Preprints of the 20th IFAC Wolrd Congress. IFAC, 2017. pp. 695-699
@inproceedings{3407dd2f03c6471d8bf08bb40936a4c0,
title = "Nice port-Hamiltonian systems are Riesz-spectral systems",
abstract = "It is shown that the class of infinite-dimensional nice port-Hamiltonian systems including a large range of distributed parameter systems with boundary control is a subclass of Riesz-spectral systems. This result is illustrated by an example of a vibrating string.",
keywords = "distributed-arameter system, Infinite-dimensional systems, exponential stability, port-Hamiltonian system, Riesz basis, Riesz-spectral system",
author = "Fran{\cc}ois Lamoline and Joseph Winkin",
year = "2017",
language = "English",
pages = "695--699",
booktitle = "Preprints of the 20th IFAC Wolrd Congress",
publisher = "IFAC",

}

Lamoline, F & Winkin, J 2017, Nice port-Hamiltonian systems are Riesz-spectral systems. in Preprints of the 20th IFAC Wolrd Congress. IFAC, pp. 695-699.

Nice port-Hamiltonian systems are Riesz-spectral systems. / Lamoline, François; Winkin, Joseph.

Preprints of the 20th IFAC Wolrd Congress. IFAC, 2017. p. 695-699.

Research output: Contribution in Book/Catalog/Report/Conference proceedingConference contribution

TY - GEN

T1 - Nice port-Hamiltonian systems are Riesz-spectral systems

AU - Lamoline, François

AU - Winkin, Joseph

PY - 2017

Y1 - 2017

N2 - It is shown that the class of infinite-dimensional nice port-Hamiltonian systems including a large range of distributed parameter systems with boundary control is a subclass of Riesz-spectral systems. This result is illustrated by an example of a vibrating string.

AB - It is shown that the class of infinite-dimensional nice port-Hamiltonian systems including a large range of distributed parameter systems with boundary control is a subclass of Riesz-spectral systems. This result is illustrated by an example of a vibrating string.

KW - distributed-arameter system

KW - Infinite-dimensional systems

KW - exponential stability

KW - port-Hamiltonian system

KW - Riesz basis

KW - Riesz-spectral system

M3 - Conference contribution

SP - 695

EP - 699

BT - Preprints of the 20th IFAC Wolrd Congress

PB - IFAC

ER -

Lamoline F, Winkin J. Nice port-Hamiltonian systems are Riesz-spectral systems. In Preprints of the 20th IFAC Wolrd Congress. IFAC. 2017. p. 695-699