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, no. 3 (2011), pp. 108-116.

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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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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, no. 3 (2011), pp. 108-116. http://geodesic.mathdoc.fr/item/VSGTU_2011_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