@article{8a522f173c114e798dbd73884372d15d,
title = "Riesz Bases Of Port-Hamiltonian Systems",
abstract = "The location of the spectrum and the Riesz basis property of well-posed homogeneous infinite-dimensional linear port-Hamiltonian systems on a one-dimensional spatial domain are studied. It is shown that the Riesz basis property is equivalent to the fact that the system operator generates a strongly continuous group. Moreover, in this situation the spectrum consists of eigenvalues only, located in a strip parallel to the imaginary axis and they can decomposed into finitely many sets each having a uniform gap.",
keywords = "infinite-dimensional linear port-Hamiltonian system, Riesz spectral operator, strongly continuous group",
author = "Birgit Jacob and Kaiser, {Julia T.} and Hans Zwart",
note = "Funding Information: \ast Received by the editors September 14, 2020; accepted for publication (in revised form) August 11, 2021; published electronically December 16, 2021. https://doi.org/10.1137/20M1366216 Funding: This work was funded by Deutsche Forschungsgemeinschaft grant JA 735/13-1. \dagger IMACM, School of Mathematics and Natural Sciences, University of Wuppertal, D-42119 Wuppertal, Germany (bjacob@uni-wuppertal.de, julia.kaiser@uni-wuppertal.de). \ddagger Department of Applied Mathematics, University of Twente, 7500 AE Enschede, The Netherlands, and Department of Mechanical Engineering, Technische Universiteit Eindhoven, 5600 MB Eindhoven, The Netherlands (h.j.zwart@utwente.nl). Publisher Copyright: {\textcopyright} 2021 Society for Industrial and Applied Mathematics Publications. All rights reserved.",
year = "2021",
doi = "10.1137/20M1366216",
language = "English",
volume = "59",
pages = "4646--4665",
journal = "SIAM journal on control and optimization",
issn = "0363-0129",
publisher = "Society for Industrial and Applied Mathematics Publications",
number = "6",
}