An operator theoretic approach to infinite-dimensional control systems

Birgit Jacob, Hans Zwart

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1 Citation (Scopus)

Abstract

In this survey we use an operator theoretic approach to infinite-dimensional systems theory. As this research field is quite rich, we restrict ourselves to the class of infinite-dimensional linear port-Hamiltonian systems and we will focus on topics such as well-posedness, stability and stabilizability. We combine the abstract operator theoretic approach with the more physical approach based on Hamiltonians. This enables us to derive easy verifiable conditions for well-posedness and stability.

Original languageEnglish
Article numbere201800010
Number of pages14
JournalGAMM-Mitteilungen
Volume41
Issue number4
DOIs
Publication statusPublished - 1 Nov 2018

Keywords

  • C -semigroup
  • infinite-dimensional systems theory
  • partial differential equation
  • port-Hamiltonian system
  • stability
  • stabilizability

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