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Solution of the quasi-linear system identification problem by the projectional method (Q2718179)

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scientific article; zbMATH DE number 1606360
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English
Solution of the quasi-linear system identification problem by the projectional method
scientific article; zbMATH DE number 1606360

    Statements

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    19 March 2002
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    identification
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    quasi-linear system
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    projection method
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    functional equation
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    integral operator
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    Solution of the quasi-linear system identification problem by the projectional method (English)
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    The paper deals with the identification of a quasi-linear system in deterministic conditions by using the projection method. The problem under consideration consists in fact in solving a functional equation with an integral operator defined on a nonlinear subset of a Banach space. By means of functional analysis tools the initial problem is reduced to an equivalent linear problem with a unique solution, provided it exists. Sufficient conditions allowing reduction of the infinite-dimensional problem to a linear finite-dimensional one are presented.
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