AustralieFrV1, PascalFrancis, Corpus, bibRecord, 001002

Distributed Source Identification for Wave Equations: An Offline Observer-Based Approach

Identifieur interne : 001002 ( PascalFrancis/Corpus ); précédent : 001001; suivant : 001003

Distributed Source Identification for Wave Equations: An Offline Observer-Based Approach

Auteurs : Marianne Chapouly ; Mazyar Mirrahimi

Source :

IEEE transactions on automatic control [ 0018-9286 ] ; 2012.

RBID : Pascal:12-0375638

Descripteurs français

Pascal (Inist)
- Identification système, Observateur, Temps minimal, Milieu confiné, Modélisation, Condition initiale, Méthode Lyapunov, Equation onde, Problème Neumann, Méthode itérative, Approximation asymptotique, Problème inverse, ., Terme source.

English descriptors

KwdEn :
- Asymptotic approximation, Confined space, Initial condition, Inverse problem, Iterative method, Lyapunov method, Minimum time, Modeling, Neumann problem, Observer, Source terms, System identification, Wave equation.

Abstract

In this paper, we consider the 1-D wave equation where the spatial domain is a bounded interval. Assuming the initial conditions to be known, we are here interested in identifying an unknown source term, while we take the Neumann derivative of the solution on one of the boundaries as the measurement output. Applying a back-and-forth iterative scheme and constructing well-chosen observers (that will be applied in an offline manner), we retrieve the source term from the measurement output in the minimal observation time.

Notice en format standard (ISO 2709)

Pour connaître la documentation sur le format Inist Standard.

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A08	`01`	`1`	`ENG`	`@1 Distributed Source Identification for Wave Equations: An Offline Observer-Based Approach`
A09	`01`	`1`	`ENG`	`@1 Control of Quantum Mechanical Systems`
A11	`01`	`1`		`@1 CHAPOULY (Marianne)`
A11	`02`	`1`		`@1 MIRRAHIMI (Mazyar)`
A12	`01`	`1`		`@1 ALTAFINI (Claudio) @9 ed.`
A12	`02`	`1`		`@1 BLOCH (Anthony M.) @9 ed.`
A12	`03`	`1`		`@1 JAMES (Matthew R.) @9 ed.`
A12	`04`	`1`		`@1 LORIA (Antonio) @9 ed.`
A12	`05`	`1`		`@1 ROUCHON (Pierre) @9 ed.`
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A15	`02`			`@1 Univ. of Michigan @2 Ann Arbor, MI @3 USA @Z 2 aut.`
A15	`03`			`@1 Austalian National University @2 Canberra @3 AUS @Z 3 aut.`
A15	`04`			`@1 CNRS @2 Gif-sur-Yvette @3 FRA @Z 4 aut.`
A15	`05`			`@1 MinesParisTech @2 Paris @3 FRA @Z 5 aut.`
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A44				`@0 0000 @1 © 2012 INIST-CNRS. All rights reserved.`
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A64	`01`	`1`		`@0 IEEE transactions on automatic control`
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C01	`01`		`ENG`	@0 In this paper, we consider the 1-D wave equation where the spatial domain is a bounded interval. Assuming the initial conditions to be known, we are here interested in identifying an unknown source term, while we take the Neumann derivative of the solution on one of the boundaries as the measurement output. Applying a back-and-forth iterative scheme and constructing well-chosen observers (that will be applied in an offline manner), we retrieve the source term from the measurement output in the minimal observation time.
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C03	`08`	`X`	`FRE`	`@0 Equation onde @5 28`
C03	`08`	`X`	`ENG`	`@0 Wave equation @5 28`
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C03	`09`	`X`	`FRE`	`@0 Problème Neumann @5 29`
C03	`09`	`X`	`ENG`	`@0 Neumann problem @5 29`
C03	`09`	`X`	`SPA`	`@0 Problema Neumann @5 29`
C03	`10`	`X`	`FRE`	`@0 Méthode itérative @5 30`
C03	`10`	`X`	`ENG`	`@0 Iterative method @5 30`
C03	`10`	`X`	`SPA`	`@0 Método iterativo @5 30`
C03	`11`	`X`	`FRE`	`@0 Approximation asymptotique @5 31`
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C03	`14`	`X`	`SPA`	`@0 Término fuente @4 CD @5 96`
N21				`@1 289`
N44	`01`			`@1 OTO`
N82				`@1 OTO`

Format Inist (serveur)

NO :	PASCAL 12-0375638 INIST
ET :	Distributed Source Identification for Wave Equations: An Offline Observer-Based Approach
AU :	CHAPOULY (Marianne); MIRRAHIMI (Mazyar); ALTAFINI (Claudio); BLOCH (Anthony M.); JAMES (Matthew R.); LORIA (Antonio); ROUCHON (Pierre)
AF :	INRIA Paris-Rocquencourt, Domaine de Voluceau, B.P. 105/78153 Le Chesnay/France (1 aut., 2 aut.); SISSA/Trieste/Italie (1 aut.); Univ. of Michigan/Ann Arbor, MI/Etats-Unis (2 aut.); Austalian National University/Canberra/Australie (3 aut.); CNRS/Gif-sur-Yvette/France (4 aut.); MinesParisTech/Paris/France (5 aut.)
DT :	Publication en série; Niveau analytique
SO :	IEEE transactions on automatic control; ISSN 0018-9286; Coden IETAA9; Etats-Unis; Da. 2012; Vol. 57; No. 8; Pp. 2067-2073; Bibl. 16 ref.
LA :	Anglais
EA :	In this paper, we consider the 1-D wave equation where the spatial domain is a bounded interval. Assuming the initial conditions to be known, we are here interested in identifying an unknown source term, while we take the Neumann derivative of the solution on one of the boundaries as the measurement output. Applying a back-and-forth iterative scheme and constructing well-chosen observers (that will be applied in an offline manner), we retrieve the source term from the measurement output in the minimal observation time.
CC :	001D02D05
FD :	Identification système; Observateur; Temps minimal; Milieu confiné; Modélisation; Condition initiale; Méthode Lyapunov; Equation onde; Problème Neumann; Méthode itérative; Approximation asymptotique; Problème inverse; .; Terme source
ED :	System identification; Observer; Minimum time; Confined space; Modeling; Initial condition; Lyapunov method; Wave equation; Neumann problem; Iterative method; Asymptotic approximation; Inverse problem; Source terms
SD :	Identificación sistema; Observador; Tiempo mínimo; Medio confinado; Modelización; Condición inicial; Método Lyapunov; Ecuación onda; Problema Neumann; Método iterativo; Aproximación asintótica; Problema inverso; Término fuente
LO :	INIST-222E4.354000504408830160
ID :	12-0375638

Links to Exploration step

Pascal:12-0375638

Le document en format XML

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<s5>96</s5>
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<fC03 i1="14" i2="X" l="ENG"><s0>Source terms</s0>
<s4>CD</s4>
<s5>96</s5>
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<fC03 i1="14" i2="X" l="SPA"><s0>Término fuente</s0>
<s4>CD</s4>
<s5>96</s5>
</fC03>
<fN21><s1>289</s1>
</fN21>
<fN44 i1="01"><s1>OTO</s1>
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<fN82><s1>OTO</s1>
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<server><NO>PASCAL 12-0375638 INIST</NO>
<ET>Distributed Source Identification for Wave Equations: An Offline Observer-Based Approach</ET>
<AU>CHAPOULY (Marianne); MIRRAHIMI (Mazyar); ALTAFINI (Claudio); BLOCH (Anthony M.); JAMES (Matthew R.); LORIA (Antonio); ROUCHON (Pierre)</AU>
<AF>INRIA Paris-Rocquencourt, Domaine de Voluceau, B.P. 105/78153 Le Chesnay/France (1 aut., 2 aut.); SISSA/Trieste/Italie (1 aut.); Univ. of Michigan/Ann Arbor, MI/Etats-Unis (2 aut.); Austalian National University/Canberra/Australie (3 aut.); CNRS/Gif-sur-Yvette/France (4 aut.); MinesParisTech/Paris/France (5 aut.)</AF>
<DT>Publication en série; Niveau analytique</DT>
<SO>IEEE transactions on automatic control; ISSN 0018-9286; Coden IETAA9; Etats-Unis; Da. 2012; Vol. 57; No. 8; Pp. 2067-2073; Bibl. 16 ref.</SO>
<LA>Anglais</LA>
<EA>In this paper, we consider the 1-D wave equation where the spatial domain is a bounded interval. Assuming the initial conditions to be known, we are here interested in identifying an unknown source term, while we take the Neumann derivative of the solution on one of the boundaries as the measurement output. Applying a back-and-forth iterative scheme and constructing well-chosen observers (that will be applied in an offline manner), we retrieve the source term from the measurement output in the minimal observation time.</EA>
<CC>001D02D05</CC>
<FD>Identification système; Observateur; Temps minimal; Milieu confiné; Modélisation; Condition initiale; Méthode Lyapunov; Equation onde; Problème Neumann; Méthode itérative; Approximation asymptotique; Problème inverse; .; Terme source</FD>
<ED>System identification; Observer; Minimum time; Confined space; Modeling; Initial condition; Lyapunov method; Wave equation; Neumann problem; Iterative method; Asymptotic approximation; Inverse problem; Source terms</ED>
<SD>Identificación sistema; Observador; Tiempo mínimo; Medio confinado; Modelización; Condición inicial; Método Lyapunov; Ecuación onda; Problema Neumann; Método iterativo; Aproximación asintótica; Problema inverso; Término fuente</SD>
<LO>INIST-222E4.354000504408830160</LO>
<ID>12-0375638</ID>
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Distributed Source Identification for Wave Equations: An Offline Observer-Based Approach

Distributed Source Identification for Wave Equations: An Offline Observer-Based Approach

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