Dynamic Right-Hand Side Reconstruction Problem for a System of Fractional Differential Equations

Dynamic Right-Hand Side Reconstruction Problem for a System of Fractional Differential Equations

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 shi...

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Veröffentlicht in:Differential equations 2019-06, Vol.55 (6), p.849-858
1. Verfasser: Surkov, P. G.
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Control Theory
Difference and Functional Equations
Differential equations
Mathematical analysis
Mathematics
Mathematics and Statistics
Nonlinear equations
Ordinary Differential Equations
Partial Differential Equations
Reconstruction
Trajectory measurement
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Beschreibung
Zusammenfassung: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.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266119060120