Riesz bases of port-Hamiltonian systems
Functional Analysis
2020-09-21 v1 Optimization and Control
Spectral Theory
Abstract
The location of the spectrum and the Riesz basis property of well-posed homogeneous infinite-dimensional linear port-Hamiltonian systems on a 1D spatial domain are studied. It is shown that the Riesz basis property is equivalent to the fact that 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 having each a uniform gap.
Keywords
Cite
@article{arxiv.2009.08521,
title = {Riesz bases of port-Hamiltonian systems},
author = {Birgit Jacob and Julia T. Kaiser and Hans Zwart},
journal= {arXiv preprint arXiv:2009.08521},
year = {2020}
}