Geodesic
Problem of iterative procedure convergence in parametric identification of the systems with turbulent friction
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 124 (2011) no. 3, pp. 108-116 Cet article a éte moissonné depuis la source Math-Net.Ru

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The problem of convergence of iterative procedure for clarification of coefficients of the finite-difference equation in numerical technique for determination of the differential operator parameters for the systems with turbulent friction is considered. Theorem about a sufficient condition of iterative procedure convergence is defined and demonstrated. During theorem proving contracting mapping and fundamental sequence properties are used. As a corollary of the theorem formulas describing prior and posterior estimate of the approximation error are received.
Keywords: systems with turbulent friction, parametric identification, finite-difference equations, mean-square estimation. 
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     title = {Problem of iterative procedure convergence in parametric identification of the systems with turbulent friction},
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V. E. Zoteev; M. A. Romanyuk; A. A. Egorova. Problem of iterative procedure convergence in parametric identification of the systems with turbulent friction. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 124 (2011) no. 3, pp. 108-116. http://geodesic.mathdoc.fr/item/VSGTU_2011_124_3_a10/

[1] Zoteev V. E., Parametric identification of dissipative mechanical systems based on difference equations, ed. V. P. Radchenko, Mashinostroenie-1, Moscow, 2009, 344 pp.

[2] Zoteev V. E., Zausaeva M. A., Egorova A. A., “Parametric identification of the differential operators for the systems with turbulent friction on the base of finite-difference equations”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 5(21) (2010), 125–133 | DOI