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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2021, Volume 25, Number 3, Pages 508–518
DOI: https://doi.org/10.14498/vsgtu1854
(Mi vsgtu1854)
 

This article is cited in 2 scientific papers (total in 2 papers)

Mathematical Modeling, Numerical Methods and Software Complexes

Identification of linear dynamic systems of fractional order with errors in variables based on an augmented system of equations

D. V. Ivanov

Samara State Transport University, Samara, 443066, Russian Federation
Full-text PDF (959 kB) Citations (2)
(published under the terms of the Creative Commons Attribution 4.0 International License)
References:
Abstract: Equations with derivatives and fractional order differences are widely used to describe various processes and phenomena. Currently, methods of identification of systems described by equations with fractional order differences are actively developing. The paper is devoted to the identification of discrete dynamical systems described by equations with fractional order differences with errors in variables. The problems of identifying systems with errors in variables are often ill-conditioned. The paper proposes an algorithm that uses the representation of a normal biased system as an augmented equivalent system. This representation allows to reduce the number of conditionality of the problem to be solved. Test examples have shown that the proposed algorithm has a higher accuracy than the algorithms based on the decomposition of Cholesky and the minimization of the generalized Rayleigh quotient.
Keywords: fractional difference, total least square, errors-in-variables, ill-conditioning.
Received: March 20, 2021
Revised: June 24, 2021
Accepted: June 28, 2021
First online: September 27, 2021
Bibliographic databases:
Document Type: Article
UDC: 519.254
MSC: 93E12, 15A29
Language: English
Citation: D. V. Ivanov, “Identification of linear dynamic systems of fractional order with errors in variables based on an augmented system of equations”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 25:3 (2021), 508–518
Citation in format AMSBIB
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\paper Identification of linear dynamic systems of~fractional order with errors in variables based on~an~augmented system of equations
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2021
\vol 25
\issue 3
\pages 508--518
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  • https://www.mathnet.ru/eng/vsgtu/v225/i3/p508
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    Abstract page:351
    Full-text PDF :137
    References:28
     
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