Peculiarities of Solving the Filtration and Extrapolation Problems in Creation of Recovery Control in Discrete Systems

In previous studies, it is proposed to use as arbitrary criterion optimality values of arbitrary differential equation matrices, which at any time minimize the mean square error in the case of continuous observations. For the objects described by discrete and discrete-continuous stochastic systems, the possibility to solve the problems of identification and prediction by means of conditionally optimization methods has been proved. It is suggested to use the methods of moments or orthogonal expansions.