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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2005 Volume 45, Number 2, Pages 224–232 (Mi zvmmf699)

Dynamical discrepancy method in the input reconstruction problem with incomplete information

A. S. Mart'yanov

Institute of Mathematics and Mechanics, Ural Division, Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620219, Russia

Abstract: A problem of the dynamic reconstruction of a variable input (control) of a nonlinear system by results of inaccurate measurement of a part of the phase vector is considered. An algorithm for solving this problem based on the method of auxiliary controlled models and the dynamical discrepancy method is suggested. The algorithm is stable with respect to informational noises and computational errors.

Key words: algorithm for recovering unbounded inputs, dynamical discrepancy method.

UDC: 519.626.2

Received: 22.06.2004


 English version:
Computational Mathematics and Mathematical Physics, 2005, 45:2, 213–221

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© Steklov Math. Inst. of RAS, 2024