We consider tomograms and quasidistribution functions like the Wigner functions that violate the standard normalization condition and obtain the conditions under which a reconstruction of the density matrix using these tomograms and quasidistribution functions is possible. Then we study an example of the de Broglie plane wave.

The problem of designing a linear discrete system by the criterion of differential entropy per time unit of the stabilized variable in the steady-state mode was formulated and resolved. Independence of the optimal controller of the spectral composition of perturbation was established. In the class of stabilizing feedbacks, a full family of optimal controllers was constructed for the plant with a transfer function fixed in control.

The purpose of the work is development of procedures for calculating the estimations of interaction risks of the factors of intangible assets control by using expert data. The method and results of analysis, which use reflexive procedures of the transitive closing of the primary estimations of risks, are the objects of examination.

In 2014, P.S. Krasnoshchekov, Academician at the Russian Academy of Sciences, offered A.A. Belolipetskii to continue research on the collective behavior of people by generalizing his earlier static model to the dynamic case. For this reason, this work is regarded as a tribute to commemorate Krasnoschekov, an outstanding scientist. The fundamental quantitative model Krasnoshchekov proposed in his works studied a static model of collective behavior when people can change their original opinion on a subject after one stage of informational interaction. Opinions are assumed to be alternatives. A person can support his country to join the WTO with probability p and object to it with probability 1 - p. In this work, multistep opinion exchange processes are considered. Quantitative characteristics of values of probabilities p (of people’s opinions) are obtained as functions of the step number and the rate of change of these probabilities. For instance, the way the mass media can control the opinions of their target audience if this audience has certain psychological characteristics is studied.

Possibilities of using latent semantic models (LS-model) in e-education and e-commerce are comprehended. It is shown that their use does the competition in the market of e-education and e-commerce significantly more open and difficult. It leads to emergence of new benefits and challenges for consumers and suppliers of electronic services.