Riesz Bases Of Port-Hamiltonian Systems

Birgit Jacob, Julia T. Kaiser, Hans Zwart

Research output: Contribution to journalArticleAcademicpeer-review

2 Citations (Scopus)
70 Downloads (Pure)

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.

Original languageEnglish
Pages (from-to)4646-4665
Number of pages20
JournalSIAM journal on control and optimization
Volume59
Issue number6
DOIs
Publication statusPublished - 2021

Keywords

  • infinite-dimensional linear port-Hamiltonian system
  • Riesz spectral operator
  • strongly continuous group

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