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Riesz Bases Of Port-Hamiltonian Systems

Authors :
Jacob, Birgit
Kaiser, Julia T.
Zwart, Hans
Hybrid Systems
Mathematical Systems Theory
Dynamics and Control
EAISI Foundational
EAISI High Tech Systems
Source :
SIAM journal on control and optimization, 59(6), 4646-4665. Society for Industrial and Applied Mathematics Publications, arXiv, 2020:2009.08521. Cornell University Library
Publication Year :
2021

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.

Details

Language :
English
ISSN :
03630129
Database :
OpenAIRE
Journal :
SIAM journal on control and optimization, 59(6), 4646-4665. Society for Industrial and Applied Mathematics Publications, arXiv, 2020:2009.08521. Cornell University Library
Accession number :
edsair.doi.dedup.....aa2585aca875d07623c8e242656ad14e