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Journal of Automation and Information Sciences
SJR: 0.232 SNIP: 0.464 CiteScore™: 0.27

ISSN Imprimir: 1064-2315
ISSN On-line: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v50.i10.50
pages 60-76

Study of Convergence of One-Step Adaptive Identification Algorithms

Boris D. Liberol
Kharkov National University of Radio and Electronics, Kharkov
Oleg G. Rudenko
Simon Kuznets Kharkov National University of Economics, Kharkov
Alexander A. Bezsonov
Simon Kuznets Kharkov National University of Economics, Kharkov


The question of convergence of the regularized one-step adaptive algorithms of Kaczmarz and Nagumo–Noda, used for solving the identification problem, is studied. Estimates of the rate of algorithms convergence are obtained, and it is shown that the introduction of the regularization parameter together with improving the computational stability of the algorithms slightly retards the process of identification. The presence of information about statistical properties of useful signals and interferences enables the selection of the algorithm parameters providing their maximum convergence rate.

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