Linear wave systems on n-D spatial domains

Mikael Kurula, Heiko J. Zwart

    Research output: Contribution to journalArticleAcademicpeer-review

    15 Citations (Scopus)

    Abstract

    In this paper, we study the linear wave equation on an n-dimensional spatial domain.We show that there is a boundary triplet associated to the undamped wave equation. This enables us to characterise all boundary conditions for which the undamped wave equation possesses a unique solution non-increasing in the energy. Furthermore, we add boundary inputs and outputs to the system, thus turning it into an impedance conservative boundary control system.
    Original languageUndefined
    Pages (from-to)1063-1077
    Number of pages15
    JournalInternational journal of control
    Volume88
    Issue number5
    DOIs
    Publication statusPublished - 2015

    Keywords

    • EWI-26575
    • 93C20, 35L05, 46E35
    • Boundary control
    • Boundary triplet
    • METIS-315103
    • IR-98931
    • Wave equation

    Cite this