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Tambov University Reports. Series: Natural and Technical Sciences, 2018, Volume 23, Issue 123, Pages 395–401
DOI: https://doi.org/10.20310/1810-0198-2018-23-123-395-401 (Mi vtamu38) 		 
Scientific articles

Identification of Hammerstein systems of fractional order with a polynomial nonlinearity in the presence of a fractional white noise

D. V. Ivanova, A. V. Ivanovb

a Samara State University of Economics
b Samara State University of Transport
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DOI: https://doi.org/10.20310/1810-0198-2018-23-123-395-401
Abstract: An identification algorithm is proposed nonlinear dynamical systems of fractional order of the Hammerstein class. Designed algorithm allows you to get strongly consistent parameter estimates in the presence of observation noise in the form of fractional white noise. The results of numerical experiments showed high efficiency of the proposed identification algorithm in comparison with the least squares method (LS).
Keywords: fractional order difference, fractional white noise, least squares method (LS), the system of a class of Hammerstein, output error.
Received: 22.04.2018
Bibliographic databases:
Document Type: Article
UDC: 519.254.1
Language: Russian
Citation: D. V. Ivanov, A. V. Ivanov, “Identification of Hammerstein systems of fractional order with a polynomial nonlinearity in the presence of a fractional white noise”, Tambov University Reports. Series: Natural and Technical Sciences, 23:123 (2018), 395–401
Citation in format AMSBIB
\Bibitem{IvaIva18}
\by D.~V.~Ivanov, A.~V.~Ivanov
\paper Identification of Hammerstein systems of fractional order with a polynomial nonlinearity in the presence of a fractional white noise
\jour Tambov University Reports. Series: Natural and Technical Sciences
\yr 2018
\vol 23
\issue 123
\pages 395--401
\mathnet{http://mi.mathnet.ru/vtamu38}
\crossref{https://doi.org/10.20310/1810-0198-2018-23-123-395-401}
\elib{https://elibrary.ru/item.asp?id=36452686}
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