A note on Neumann-boundary stabilization of the wave equation

Boumediène Chentouf; Mohamed S. Boudellioua

A note on Neumann-boundary stabilization of the wave equation

Boumediène Chentouf^*, Mohamed S. Boudellioua

^*Corresponding author for this work

Mathematics & Statistics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

In this paper, we consider the stabilization of a wave equation in a bounded domain of ℝⁿ, with Neumann boundary conditions. We propose a boundary feedback law depending only a damping term. Using the multiplier method, asymptotic convergence to a stationary position, which depends on the initial data, is proved for the solutions of the system.

Original language	English
Title of host publication	2004 5th Asian Control Conference
Pages	780-782
Number of pages	3
Volume	2
Publication status	Published - 2004
Event	2004 5th Asian Control Conference - Melbourne, Australia Duration: Jul 20 2004 → Jul 23 2004

Other

Other	2004 5th Asian Control Conference
Country	Australia
City	Melbourne
Period	7/20/04 → 7/23/04

ASJC Scopus subject areas

Engineering(all)

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title = "A note on Neumann-boundary stabilization of the wave equation",

abstract = "In this paper, we consider the stabilization of a wave equation in a bounded domain of ℝn, with Neumann boundary conditions. We propose a boundary feedback law depending only a damping term. Using the multiplier method, asymptotic convergence to a stationary position, which depends on the initial data, is proved for the solutions of the system.",

author = "Boumedi{\`e}ne Chentouf and Boudellioua, {Mohamed S.}",

year = "2004",

language = "English",

isbn = "0780388739",

volume = "2",

pages = "780--782",

booktitle = "2004 5th Asian Control Conference",

note = "2004 5th Asian Control Conference ; Conference date: 20-07-2004 Through 23-07-2004",

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T1 - A note on Neumann-boundary stabilization of the wave equation

AU - Chentouf, Boumediène

AU - Boudellioua, Mohamed S.

PY - 2004

Y1 - 2004

N2 - In this paper, we consider the stabilization of a wave equation in a bounded domain of ℝn, with Neumann boundary conditions. We propose a boundary feedback law depending only a damping term. Using the multiplier method, asymptotic convergence to a stationary position, which depends on the initial data, is proved for the solutions of the system.

AB - In this paper, we consider the stabilization of a wave equation in a bounded domain of ℝn, with Neumann boundary conditions. We propose a boundary feedback law depending only a damping term. Using the multiplier method, asymptotic convergence to a stationary position, which depends on the initial data, is proved for the solutions of the system.

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UR - http://www.scopus.com/inward/citedby.url?scp=16244413634&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:16244413634

SN - 0780388739

VL - 2

SP - 780

EP - 782

BT - 2004 5th Asian Control Conference

T2 - 2004 5th Asian Control Conference

Y2 - 20 July 2004 through 23 July 2004

ER -