In the article the new concept of hierarchical equilibrium in multilevel control systems for inter-level interaction optimization on the basis of the generalization of Stackelberg's strategy for hierarchical differential games is formulated. The sufficient conditions of control law (strategy) optimality of the level-subsystems of the multi-object multicriteria systems (MMS) are obtained for two-level control system. The approximate iteration procedure of obtaining the hierarchical equilibrium on the basis of the program-corrected control law (strategy) of both MMS-subsystem levels is proposed. The block diagram of the two-level aircraft control and stabilization system is formed, application of obtained procedure in which has the practical value.

In the paper the problem of construction of dividing line for two classes of the images set by two-dimensional signs is considered and solved. The case when all signs are burdened by random and regular errors that leads to a specific correlation picture of experiment, set in advance by means of a matrix of the correlation moments is thus considered. By means of numerical simulation the accuracy received in work on the basis of modified method of the maximum credibility of estimations of parametres of a dividing line is shown.

In the article robust control of uncertain nonlinear system in conditions of the incomplete information on its parameters is considered. The necessary conditions of existence of terminal robust control and an asymptotic stability of system of the first approximation are proposed.

Problem of control system synthesis is considered, when control depends from state space vector. Analytic and calculation problems of synthesis and paths for decision of them are focused.

Problem of automated control for spaceship descent to the Earth is considered. Control as a function of coordinates in space of system condition is received by method of network operator. It delivers minimum to maximal G-force and reaching of the defined termination point.

The article considers design and implementation of parallel cryptokernel for server storage security systems, which protect data at rest. Most important issues of cryptokernel design, such as crypto algorithm optimization, defining the level of parallelization, choosing the crypto algorithm and crypto block size are analyzed. Questions like cache memory usage and thread creation and synchronization are taken into account. Approaches for determining the number of threads working in parallel are proposed.

Article contains the results of realization of the Priority National Project «Education» at Cybernetics and mechatronics department in Peoples' Friendship University of Russia in the following directions: advance training and placement, creation innovative manuals, design and implementation of the project Laboratory of Infocommunication technologies.