P. G. Surkov, “Application of the residual method in the right hand side reconstruction problem for a system of fractional order”, Zh. Vychisl. Mat. Mat. Fiz., 2019, Volume 59, Number 11,Pages <nobr>1846

This article is cited in 4 papers

Application of the residual method in the right hand side reconstruction problem for a system of fractional order

P. G. Surkov^ab

^a Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, 620108 Russia
^b Ural Federal University Named after the First President of Russia B.N. Yeltsyn, Yekaterinburg, 620002 Russia

Abstract: For a system of nonlinear fractional differential equations, the problem of reconstruction of an unknown input action is considered. An algorithm for its solution, stable to information interference and computational errors, is proposed. This algorithm is based on regularization methods and construction of the dynamic inversion theory. Dynamic reconstruction of the input action is carried out using the residual method, which does not require introducing auxiliary model systems.

Key words: fractional order systems, reconstruction, input action, error estimation.

UDC: 517.977

Received: 15.05.2019
Revised: 15.05.2019
Accepted: 08.07.2019

DOI: 10.1134/S0044466919110127