Email this article Application of the Residual Method in the Right Hand Side Reconstruction Problem for a System of Fractional Order
- Authors: Surkov P.G.1,2
-
Affiliations:
- Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences
- Ural Federal University Named after the First President of Russia B.N. Yeltsyn
- Issue: Vol 59, No 11 (2019)
- Pages: 1781-1790
- Section: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/180875
- DOI: https://doi.org/10.1134/S0965542519110113
- ID: 180875
Cite item
Open Access
Access granted
Subscription Access
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.
About the authors
P. G. Surkov
Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences; Ural Federal University Named after the First President of Russia B.N. Yeltsyn
Author for correspondence.
Email: spg@imm.uran.ru
Russian Federation, Yekaterinburg, 620108; Yekaterinburg, 620002
Supplementary files
