An operator theoretic approach to infinite-dimensional control systems

Birgit Jacob* (Corresponding Author), Hans Zwart

*Corresponding author for this work

    Research output: Contribution to journalArticleAcademicpeer-review

    1 Citation (Scopus)
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    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
    JournalGAMM Mitteilungen
    Volume41
    Issue number4
    Early online date15 Oct 2018
    DOIs
    Publication statusPublished - 1 Nov 2018

    Keywords

    • infinite-dimensional systems theory
    • partial differential equation
    • port-Hamiltonian system
    • stability
    • stabilizability
    • C0-semigroups

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