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Abstract <p> The article studies the problem of approximate online reconstruction of an unknowndisturbance acting on a system described by ordinary differential equations. To solve the problemunder the assumption that some of the system coordinates are measured inaccurately, we proposean algorithm based on a combination of feedback control methods and methods of the theory ofill-posed problems. The convergence of the approximations constructed by the algorithm to theexact disturbance is established under an appropriate matching of the measurement error andcomputational grids selected accordingly.</p>

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Reconstruction of Disturbances in a System of Differential Equations with Inaccurate Measurement of Part of the Coordinates

  • 期刊论文

  • 发表日期：

    2025年11月1日

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  • M. S. Blizorukova

摘要

Abstract

The article studies the problem of approximate online reconstruction of an unknowndisturbance acting on a system described by ordinary differential equations. To solve the problemunder the assumption that some of the system coordinates are measured inaccurately, we proposean algorithm based on a combination of feedback control methods and methods of the theory ofill-posed problems. The convergence of the approximations constructed by the algorithm to theexact disturbance is established under an appropriate matching of the measurement error andcomputational grids selected accordingly.