Authors

Mikael Kurula, Hans Zwart

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.

Citation

  • Journal: International Journal of Control
  • Year: 2014
  • Volume:
  • Issue:
  • Pages: 1–24
  • Publisher: Informa UK Limited
  • DOI: 10.1080/00207179.2014.993337

BibTeX

@article{Kurula_2014,
  title={{Linear wave systems onn-D spatial domains}},
  ISSN={1366-5820},
  DOI={10.1080/00207179.2014.993337},
  journal={International Journal of Control},
  publisher={Informa UK Limited},
  author={Kurula, Mikael and Zwart, Hans},
  year={2014},
  pages={1--24}
}

Download the bib file