Abstract
Identification algorithms for concentrated dynamic systems are studied. The apparatus of pseudo-inversion of block matrices underlies adaptive identification. It is used to construct a recursive algorithm for linear least-squares problems and a recursive iterative algorithm for nonlinear least-squares problems.
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REFERENCES
Burkov, V.N. and Novikov, D.A., Teoriya aktivnykh sistem: sostoyanie i perspektivy (Theory of Active Systems: State-of-the-Art and Future), Moscow: Sinteg, 1999.
Burkov, V.N. and Tsygankov, V.V., Adaptive Operation Mechanisms of Active Systems, Avtom. Telemekh., 1985, no. 9, pp. 35-41.
Tsygankov, V.V., Adaptivnye mekhanizmy v otraslevom upravlenie (Adaptive Mechanisms in Industrial Management), Moscow: Nauka, 1991.
Ljung, L., System Identification: Theory for the User, Englewood Cliffs: Prentice Hall, 1987. Translated under the title Identifikatsiya sistem. Teoriya dlya pol'zovatelya, Moscow: Nauka, 1991.
Tsypkin, Ya.Z., Adaptatsiya i obuchenie v avtomaticheskikh sistemakh (Adaptation and Learning in Automatic Systems), Moscow: Nauka, 1968.
Ruban, A.I., Identification of a Class of Stochastic Nonlinear Discrete Systems, Avtom. Vychisl. Tekh., 1973, no. 3, pp. 64-70.
Albert, A., Regression, and the Moor-Penrose Pseudoinverse, New York: Academic, 1972. Translated under the title Regressiya, psevdoinversiya i rekurrentnoe otsenivanie, Moscow: Nauka, 1977.
Blumin, S.L., Klein—Hamilton Relations in the Theory of Discrete Argument Systems, Avtom. Telemekh., 1981, no. 9, pp. 133-142.
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Blumin, S.L., Krutova, I.N. Recursive Iterative Algorithms for Adaptive Identification of Nonlinear Concentrated Dynamic Systems. Automation and Remote Control 64, 1583–1588 (2003). https://doi.org/10.1023/A:1026061406561
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DOI: https://doi.org/10.1023/A:1026061406561