On regularization of algorithms of information processing in control problems (Q1285308)

Usually the filtering of measurements leads to an ill-posed problem, as a result of errors in the time discretization of the signals. In this paper, defining the spectral density of an optimal regularizing noise, ill-posed problems of filtering that are described by a Fredholm integral equation and which arise in the construction of control systems are studied, and a method of solving the considered problem of information processing is obtained.