Reconstruction of Disturbances in a Nonlinear System from Measurements of Some of the State-Vector Coordinates

Максимов, В. И.

doi:10.1134/s0965542519110095

Cited by 4 publications

(2 citation statements)

References 9 publications

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“…Then, the first reconstruction block, following [14], is represented by system (9), in which the control action ζ h is generated according to the rule…”

Section: Solution Algorithmmentioning

confidence: 99%

“…This approach was used by many authors to solve different problems of dynamical reconstruction (see, for example, [8][9][10][11][12][13] for ODEs). In most of these works, the entire phase vector of the system was accessible for observation; in this article, it is available to measure only a part of the coordinates (for ODEs, this case was studied in [8][9][10]). A feature of the problem under discussion is the extension of this approach to a new class of systems, namely, systems of fractional order.…”

Section: Introductionmentioning

confidence: 99%

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Real-time reconstruction of external impact on fractional order system under measuring a part of coordinates

Сурков

2021

Journal of Computational and Applied Mathematics

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For a system of nonlinear fractional differential equations, the problem of reconstructing an unknown external impact is considered. It is complicated by the fact that only a part of system's parameters is available for measuring. An algorithm for solving this problem is proposed, which is resistant to informational noises and computational errors, and is based on regularization methods and constructions of guaranteed control theory. A numerical example illustrating the operation of the algorithm is considered.

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“…Then, the first reconstruction block, following [14], is represented by system (9), in which the control action ζ h is generated according to the rule…”

Section: Solution Algorithmmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Real-time reconstruction of external impact on fractional order system under measuring a part of coordinates

Сурков

2021

Journal of Computational and Applied Mathematics

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Stable Solutions of the Dynamical Reconstruction Problem

Larin

Максимов

2023

J Math Sci

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We consider the problem of dynamical reconstruction of input disturbances in a system of differential equations subject to the influence of an unknown disturbance. We present two algorithms for solving the problem that are robust to information noises and computational errors and are oriented to computer implementation. The algorithms operate under measurements (with errors) of phase states of the system at discrete times. Bibliography: 14 titles.

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Dynamic Discrepancy Method in the Problem of Reconstructing the Input of a System with Time Delay Control

Blizorukova

Максимов

2021

Comput. Math. and Math. Phys.

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Reconstruction of Disturbances in a Nonlinear System from Measurements of Some of the State-Vector Coordinates

Cited by 4 publications

References 9 publications

Real-time reconstruction of external impact on fractional order system under measuring a part of coordinates

Real-time reconstruction of external impact on fractional order system under measuring a part of coordinates

Stable Solutions of the Dynamical Reconstruction Problem

Dynamic Discrepancy Method in the Problem of Reconstructing the Input of a System with Time Delay Control

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