The problem of motion correction with Gaussian communications channel

A problem of correction of motion of a multistep linear controlled system under mixed perturbations is considered. It is supposed that the a center observes and controls the system; the center is connected to the system with a noisy communications channel. The influence of communications constraints on parameters of motion correction is studied. Formulae for error of reconstruction of a transient vector and optimal value of quality functional are obtained. A series of results is illustrated by an example.