ON REGULARIZATION OF ALGORITHMS OF INFORMATION-PROCESSING IN CONTROL-PROBLEMS

Mathematically ill-posed problems of filtration that are described by a Fredholm integral equation of the first kind, which arise in the con struction of control systems, are investigated. The spectral density o f an optimal regularizing noise is defined. The existence of an, optim al interval of discretization of the analogous data is shown when the investigated filters are realized on computers if the condition of the regularization of the original problem is provided. A method of solvi ng the considered problem of information processing is investigated an d presented.