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In article two modifications of the known recurrent method of least squares with a forgetting factor for the current parametrical identification of mathematical model of a dynamic control object in the conditions of possibility of the linear relation of the used regressors are offered and with a limited accuracy of calculations in the used digital computer. Modifications are based on Tikhonov regularization  to the procedure and on shutdown from identification of the regressors bringing the linear relation. These modifications increase the functional stability of the procedure of the current identification for creation of an adaptive control system.

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