Nice port-Hamiltonian systems are Riesz-spectral systems

François Lamoline; Joseph Winkin

Nice port-Hamiltonian systems are Riesz-spectral systems

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Résumé

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.

langue originale	Anglais
titre	Preprints of the 20th IFAC Wolrd Congress
Editeur	IFAC
Pages	695-699
Nombre de pages	5
Etat de la publication	Publié - 2017

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LamolineWinkin_IFACWorldCongress_2017Accepted author manuscript, 271 KB

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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{\c c}ois Lamoline and Joseph Winkin",

year = "2017",

language = "English",

pages = "695--699",

booktitle = "Preprints of the 20th IFAC Wolrd Congress",

publisher = "IFAC",

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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 -

Nice port-Hamiltonian systems are Riesz-spectral systems

Résumé

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