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An adaptive observer-based algorithm for solving inverse source problem for the wave equation - MaRDI portal

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An adaptive observer-based algorithm for solving inverse source problem for the wave equation (Q1666606)

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scientific article; zbMATH DE number 6927246
Language Label Description Also known as
English
An adaptive observer-based algorithm for solving inverse source problem for the wave equation
scientific article; zbMATH DE number 6927246

    Statements

    title
    An adaptive observer-based algorithm for solving inverse source problem for the wave equation (English)
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    author
    Sharefa Asiri
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    Chadia Zayane-Aissa
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    T. M. Laleg-Kirati
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    publication date
    27 August 2018
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    review text
    Summary: 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.
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    Identifiers

    DOI
    10.1155/2015/796539
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    Mathematics Subject Classification ID
    93B07
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    93C40
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    65M32
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    zbMATH DE Number
    6927246
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    Wikidata QID
    Q57574832
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    OpenAlex ID
    W2106464932
    0 references
     
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