Nice port-Hamiltonian systems are Riesz-spectral systems

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Abstract

It is shown that the class of infinite-dimensional nice port-Hamiltonian systems including a large range of distributed parameter systems with boundary control is a subclass of Riesz-spectral systems. This result is illustrated by an example of a vibrating string.
Original languageEnglish
Title of host publicationPreprints of the 20th IFAC Wolrd Congress
PublisherIFAC
Pages695-699
Number of pages5
Publication statusPublished - 2017

Keywords

  • distributed-arameter system
  • Infinite-dimensional systems
  • exponential stability
  • port-Hamiltonian system
  • Riesz basis
  • Riesz-spectral system

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  • Cite this

    Lamoline, F., & Winkin, J. (2017). Nice port-Hamiltonian systems are Riesz-spectral systems. In Preprints of the 20th IFAC Wolrd Congress (pp. 695-699). IFAC.