Dynamic right-hand side reconstruction problem for a system of fractional differential equations

DOI10.1134/S0012266119060120zbMath1432.93153OpenAlexW2957836640MaRDI QIDQ2332109

Platon Gennad'evich Surkov

Publication date: 1 November 2019

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266119060120

zbMATH Keywords

fractional differential equationsnonlinear dynamic system

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Fractional derivatives and integrals (26A33) Control/observation systems governed by ordinary differential equations (93C15) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (9)

The methods of dynamical reconstruction of an input in a system of ordinary differential equations ⋮ Dynamical estimation of a noisy input in a system with a Caputo fractional derivative. The case of continuous measurements of a part of phase coordinates ⋮ Real-time reconstruction of external impact on fractional order system under measuring a part of coordinates ⋮ An approach to solving input reconstruction problems in stochastic differential equations: dynamic algorithms and tuning their parameters ⋮ Tracking the trajectory of a fractional dynamical system when measuring part of state vector coordinates ⋮ Construction of solutions to control problems for fractional-order linear systems based on approximation models ⋮ Approximate calculation of the Caputo-type fractional derivative from inaccurate data. Dynamical approach ⋮ Real-time calculation of a Caputo fractional derivative from noisy data. The case of continuous measurements ⋮ Reconstruction problem with incomplete information for a quasilinear stochastic differential equation

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