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dc.contributor.authorAsiri, Sharefa M.
dc.contributor.authorZayane, Chadia
dc.contributor.authorLaleg-Kirati, Taous-Meriem
dc.date.accessioned2015-10-28T11:00:48Z
dc.date.available2015-10-28T11:00:48Z
dc.date.issued2015-10-19
dc.identifier.citationAn Adaptive Observer-Based Algorithm for Solving Inverse Source Problem for the Wave Equation 2015, 2015:1 Mathematical Problems in Engineering
dc.identifier.issn1024-123X
dc.identifier.issn1563-5147
dc.identifier.doi10.1155/2015/796539
dc.identifier.urihttp://hdl.handle.net/10754/581311
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.
dc.language.isoen
dc.publisherHindawi Limited
dc.relation.urlhttp://www.hindawi.com/journals/mpe/2015/796539/
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/
dc.titleAn Adaptive Observer-Based Algorithm for Solving Inverse Source Problem for the Wave Equation
dc.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputational Bioscience Research Center (CBRC)
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentElectrical Engineering Program
dc.identifier.journalMathematical Problems in Engineering
dc.eprint.versionPublisher's Version/PDF
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)
kaust.personAsiri, Sharefa M.
kaust.personZayane, Chadia
kaust.personLaleg-Kirati, Taous-Meriem
refterms.dateFOA2018-06-13T09:33:31Z
dc.date.published-online2015-10-19
dc.date.published-print2015


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