Linear wave systems on n-D spatial domains

Mikael Kurula; Heiko J. Zwart

doi:10.1080/00207179.2014.993337

Linear wave systems on n-D spatial domains

Mikael Kurula, Heiko J. Zwart

Research output: Contribution to journal › Article › Academic › peer-review

27 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 language	Undefined
Pages (from-to)	1063-1077
Number of pages	15
Journal	International journal of control
Volume	88
Issue number	5
DOIs	https://doi.org/10.1080/00207179.2014.993337
Publication status	Published - 2015

Keywords

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

Access to Document

10.1080/00207179.2014.993337

http://eprints.eemcs.utwente.nl/secure2/26575/01/Kur-Zw-15.pdf

Cite this

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KW - EWI-26575

KW - 93C20, 35L05, 46E35

KW - Boundary control

KW - Boundary triplet

KW - METIS-315103

KW - IR-98931

KW - Wave equation

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