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Abstract <p> We consider the dynamic input reconstruction problem for a system of ordinarydifferential equations and the problem of tracking a trajectory of a system affected by an unknowndisturbance by a trajectory of another system. The input action is assumed to be an unboundedfunction, namely, an element of the space of square integrable functions. Two solution algorithmsrobust under informational disturbances and computational errors and well designed for computerimplementation are suggested. Upper bounds for their convergence rates are established. Thealgorithms are based on constructions of feedback control theory and operate under conditions of(inaccurate) system state measuring at discrete times.</p>

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Stable Solution of Tracking and Dynamic Reconstruction Problems under Measuring State Coordinates at Discrete Times

  • 期刊论文

  • 发表日期：

    2025年1月1日

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  • V. I. Maksimov

摘要

Abstract

We consider the dynamic input reconstruction problem for a system of ordinarydifferential equations and the problem of tracking a trajectory of a system affected by an unknowndisturbance by a trajectory of another system. The input action is assumed to be an unboundedfunction, namely, an element of the space of square integrable functions. Two solution algorithmsrobust under informational disturbances and computational errors and well designed for computerimplementation are suggested. Upper bounds for their convergence rates are established. Thealgorithms are based on constructions of feedback control theory and operate under conditions of(inaccurate) system state measuring at discrete times.