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Error estimate for a regularization method in problems of the reconstruction of inputs of dynamic systems - MaRDI portal

Error estimate for a regularization method in problems of the reconstruction of inputs of dynamic systems (Q1975118)

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scientific article; zbMATH DE number 1427865
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English
Error estimate for a regularization method in problems of the reconstruction of inputs of dynamic systems
scientific article; zbMATH DE number 1427865

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    Error estimate for a regularization method in problems of the reconstruction of inputs of dynamic systems (English)
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    5 April 2000
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    The reconstruction of an \(\Omega\)-normal input of a dynamic system by the results of measurement of its output is considered. The input is understood as a pair: the initial state of the system and an input action onto the system (control, perturbation, etc.) The dynamics of the system is specified by a linear ordinary differential equation. It is supposed, that the errors in the measurement of the output are bounded by a given number in the metric \(L_2\). An error estimate for a regularization method applied to solving this problem is obtained.
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    regularization method
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    inputs of dynamic systems
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    error estimate
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