Linear wave systems on n-D spatial domains

Mikael Kurula; Hans Zwart

Linear wave systems on n-D spatial domains

Mikael Kurula
, Hans Zwart

Research output: Book/Journal/Report › Commissioned report › Professional

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/Unknown
Publisher	Cornell University Library, arXiv.org
Publication status	Published - 2014
MoE publication type	D4 Published development or research report or study

Access to Document

http://arxiv.org/abs/1405.1840

Cite this

@book{79e1dcf83caf49cfb759b9b2495c9a3d,

title = "Linear wave systems on n-D spatial domains",

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.",

author = "Mikael Kurula and Hans Zwart",

year = "2014",

language = "Odefinierat/ok{\"a}nt",

publisher = "Cornell University Library, arXiv.org",

}

TY - BOOK

T1 - Linear wave systems on n-D spatial domains

AU - Kurula, Mikael

AU - Zwart, Hans

PY - 2014

Y1 - 2014

N2 - 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.

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.

M3 - Beställd rapport

BT - Linear wave systems on n-D spatial domains

PB - Cornell University Library, arXiv.org

ER -