Linear wave systems on n-D spatial domains

Mikael Kurula; Hans Zwart

doi:10.1080/00207179.2014.993337

Linear wave systems on n-D spatial domains

Mikael Kurula^*, Hans Zwart

^*Corresponding author for this work

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

33 Citations (Scopus)

6 Downloads (Pure)

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	English
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

2024 OA procedure
93C20, 35L05, 46E35
Boundary control
Boundary triplet
Wave equation

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10.1080/00207179.2014.993337

ArticleFinal published version, 519 KBLicence: Taverne

Cite this

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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.",

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AB - 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.

KW - 2024 OA procedure

KW - 93C20, 35L05, 46E35

KW - Boundary control

KW - Boundary triplet

KW - Wave equation

U2 - 10.1080/00207179.2014.993337

DO - 10.1080/00207179.2014.993337

M3 - Article

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VL - 88

SP - 1063

EP - 1077

JO - International journal of control

JF - International journal of control

IS - 5

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Linear wave systems on n-D spatial domains

Abstract

Keywords

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