Dynamic Right-Hand Side Reconstruction Problem for a System of Fractional Differential Equations
- Authors: Surkov P.G.1,2
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Affiliations:
- Krasovskii Institute of Mathematics and Mechanics, Ural Branch
- Ural Federal University
- Issue: Vol 55, No 6 (2019)
- Pages: 849-858
- Section: Control Theory
- URL: https://journals.rcsi.science/0012-2661/article/view/155056
- DOI: https://doi.org/10.1134/S0012266119060120
- ID: 155056
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Abstract
For a controlled dynamical system described by nonlinear fractional differential equations, we consider the problem of dynamic reconstruction of an unknown disturbance from approximate measurements of the trajectory. For this problem, we construct an algorithm based on Krasovskii's extremal shift method and find its convergence rate.
About the authors
P. G. Surkov
Krasovskii Institute of Mathematics and Mechanics, Ural Branch; Ural Federal University
Author for correspondence.
Email: spg@imm.uran.ru
Russian Federation, Yekaterinburg, 620108; Yekaterinburg, 620002
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