Sensors and regional observability of the wave equation

被引：7

作者：

Zerrik, E. ^{[1
]}

Benhadid, S.

Bouffay, H.

机构：

[1] Moulay Ismail Univ, Fac Sci, AFACS UFR, MACS Grp, Meknes, Morocco

[2] Mentouri Univ, Fac Exact Sci, Dept Math, Canstantine, Algeria

来源：

SENSORS AND ACTUATORS A-PHYSICAL | 2007年 / 138卷 / 02期

关键词：

distributed systems; wave equation; observability; regional observability; regional strategic sensor; regional reconstruction;

D O I：

10.1016/j.sna.2007.05.017

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The purpose of this paper is to develop the question of regional observability of a system described by the wave equation evolving in spatial domain Omega. It concerns the observability of such a system only on a subregion omega of Omega. Then we give definitions and characterization of this notion linked with sensors structure and we describe an important approach that estimates the state of the system on a given subregion. The study examines various kind of measurements and sensors. The obtained results are illustrated by numerical examples and simulations. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：313 / 328

页数：16

共 50 条

[21] Equivalence between observability at the boundary and stabilization for transmission problem of the wave equation
A. J. A. Ramos
M. W. P. Souza
Zeitschrift für angewandte Mathematik und Physik, 2017, 68
[22] Equivalence between observability at the boundary and stabilization for transmission problem of the wave equation
Ramos, A. J. A.
Souza, M. W. P.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2017, 68 (02):
[23] Stabilization of the nonlinear damped wave equation via linear weak observability
Ammari, Kais
Bchatnia, Ahmed
El Mufti, Karim
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2016, 23 (02): : 1 - 18
[24] Stabilization of the nonlinear damped wave equation via linear weak observability
Kaïs Ammari
Ahmed Bchatnia
Karim El Mufti
Nonlinear Differential Equations and Applications NoDEA, 2016, 23
[25] Observability of the 1-D Wave Equation with Mixed Boundary Conditions in a Non-cylindrical Domain
Sengouga, Abdelmouhcene
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2018, 15 (02)
[26] Observability of the 1-D Wave Equation with Mixed Boundary Conditions in a Non-cylindrical Domain
Abdelmouhcene Sengouga
Mediterranean Journal of Mathematics, 2018, 15
[27] Regional Observability for Semilinear Distributed Parabolic Systems
E. Zerrik
H. Bourray
A. El Jai
Journal of Dynamical and Control Systems, 2004, 10 : 413 - 430
[28] Regional observability for semilinear distributed parabolic systems
Zerrik, E
Bourray, H
El Jai, A
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2004, 10 (03) : 413 - 430
[29] Observability inequality for a wave equation with elastic fastening in the case of critical time interval
Dryazhenkov A.A.
Moscow University Computational Mathematics and Cybernetics, 2014, 38 (3) : 105 - 109
[30] Constructive observability inequalities for weak generalized solutions of the wave equation with elastic restraint
Dryazhenkov, A. A.
Potapov, M. M.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2014, 54 (06) : 939 - 952

← 1 2 3 4 5 →