An Adaptive Observer-Based Algorithm for Solving Inverse Source Problem for the Wave Equation

Handle URI:
http://hdl.handle.net/10754/581311
Title:
An Adaptive Observer-Based Algorithm for Solving Inverse Source Problem for the Wave Equation
Authors:
Asiri, Sharefa M. ( 0000-0001-9602-9462 ) ; Zayane, Chadia ( 0000-0002-3035-3048 ) ; Laleg-Kirati, Taous-Meriem ( 0000-0001-5944-0121 )
Abstract:
Observers are well known in control theory. Originally designed to estimate the hidden states of dynamical systems given some measurements, the observers scope has been recently extended to the estimation of some unknowns, for systems governed by partial differential equations. In this paper, observers are used to solve inverse source problem for a one-dimensional wave equation. An adaptive observer is designed to estimate the state and source components for a fully discretized system. The effectiveness of the algorithm is emphasized in noise-free and noisy cases and an insight on the impact of measurements’ size and location is provided.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
An Adaptive Observer-Based Algorithm for Solving Inverse Source Problem for the Wave Equation 2015, 2015:1 Mathematical Problems in Engineering
Publisher:
Hindawi Publishing Corporation
Journal:
Mathematical Problems in Engineering
Issue Date:
31-Aug-2015
DOI:
10.1155/2015/796539
Type:
Article
ISSN:
1024-123X; 1563-5147
Additional Links:
http://www.hindawi.com/journals/mpe/2015/796539/
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorAsiri, Sharefa M.en
dc.contributor.authorZayane, Chadiaen
dc.contributor.authorLaleg-Kirati, Taous-Meriemen
dc.date.accessioned2015-10-28T11:00:48Zen
dc.date.available2015-10-28T11:00:48Zen
dc.date.issued2015-08-31en
dc.identifier.citationAn Adaptive Observer-Based Algorithm for Solving Inverse Source Problem for the Wave Equation 2015, 2015:1 Mathematical Problems in Engineeringen
dc.identifier.issn1024-123Xen
dc.identifier.issn1563-5147en
dc.identifier.doi10.1155/2015/796539en
dc.identifier.urihttp://hdl.handle.net/10754/581311en
dc.description.abstractObservers are well known in control theory. Originally designed to estimate the hidden states of dynamical systems given some measurements, the observers scope has been recently extended to the estimation of some unknowns, for systems governed by partial differential equations. In this paper, observers are used to solve inverse source problem for a one-dimensional wave equation. An adaptive observer is designed to estimate the state and source components for a fully discretized system. The effectiveness of the algorithm is emphasized in noise-free and noisy cases and an insight on the impact of measurements’ size and location is provided.en
dc.language.isoenen
dc.publisherHindawi Publishing Corporationen
dc.relation.urlhttp://www.hindawi.com/journals/mpe/2015/796539/en
dc.rightsThis is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.http://creativecommons.org/licenses/by/3.0/en
dc.titleAn Adaptive Observer-Based Algorithm for Solving Inverse Source Problem for the Wave Equationen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalMathematical Problems in Engineeringen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
kaust.authorAsiri, Sharefa M.en
kaust.authorZayane, Chadiaen
kaust.authorLaleg-Kirati, Taous-Meriemen
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