Stochastic Discrete Systems With Internal Models

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Abstract
Discrete systems that are subjected to a wide class of stochastic autoregressive perturbations are considered. The structures in which the influence of these perturbations is eliminated up to the white noise level are found. In contrast to the known structures, a contradiction between the accuracy of reproducing the reference input action and the stability is eliminated in the proposed structures containing internal models. New structure of predictive and periodic stochastic systems are obtained as particular cases.

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