An operator theoretic approach to infinite-dimensional control systems

Birgit Jacob, Hans Zwart

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

1 Citaat (Scopus)

Uittreksel

In this survey we use an operator theoretic approach to infinite-dimensional systems theory. As this research field is quite rich, we restrict ourselves to the class of infinite-dimensional linear port-Hamiltonian systems and we will focus on topics such as well-posedness, stability and stabilizability. We combine the abstract operator theoretic approach with the more physical approach based on Hamiltonians. This enables us to derive easy verifiable conditions for well-posedness and stability.

Originele taal-2Engels
Artikelnummere201800010
Aantal pagina's14
TijdschriftGAMM-Mitteilungen
Volume41
Nummer van het tijdschrift4
DOI's
StatusGepubliceerd - 1 nov 2018

Vingerafdruk

Hamiltonians
Infinite-dimensional Systems
Well-posedness
Control System
Control systems
operators
Stabilizability
System theory
Operator
Systems Theory
Hamiltonian Systems
Class

Citeer dit

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An operator theoretic approach to infinite-dimensional control systems. / Jacob, Birgit; Zwart, Hans.

In: GAMM-Mitteilungen, Vol. 41, Nr. 4, e201800010, 01.11.2018.

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

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KW - C -semigroup

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KW - partial differential equation

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