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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
(published under the terms of the Creative Commons Attribution 4.0 International License)
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
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
Linking options:
https://www.mathnet.ru/eng/vsgtu1854 https://www.mathnet.ru/eng/vsgtu/v225/i3/p508
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Abstract page: | 351 | Full-text PDF : | 137 | References: | 28 |
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