Developed some of methods for solving ill-structed problems for modeling, prediction and classification. All methods use Bayesian networks. Proposed a new five step method for finding the parameters of Bayesian networks with hidden nodes. Method bases on an expectation maximization algorithm. Suggested Pearson's, Chuprov's, Cramer's, Goodman's and mutual information coefficients for finding interconnections between Bayesian network's nodes. For solving the problem of modeling the behavior of complex systems proposed original method for construction and application hybrid Bayesian networks.

Sense of work consists of analysis of modern world trends in progress of the space-time processing theory, development of new methods of radio signals processing with space-time structures, which are factorized with the use of Croneckers` matrices muptiplication theory for the radio electronic facilities’ digital adaptive arrays, and also analysis of possibility of the physical phenomenon of curvature of wave front of electromagnetic wave application for the increase of efficiency of functioning of the telecommunication systems in the conditions of interferences.

The technology of access and management of information and program resources in heterogeneous informative-telecommunication environment is created. It is the basis of intermediate layer software for access and performance of the distributed program systems in networks, which use technologies both cable and wireless access.

The mathematical models of parallel transaction processing of the uniform universal platform for supporting to information interaction of granting service in Internet are developed.

The methodological, mathematical and algorithmical toolkit on providing the control by functioning and monitoring, operative diagnosis, evaluation and prediction of the permissible risk margin of the forecast abnormal, critical, extraordinary, emergency and catastrophic situations’ set in the complex technical systems’ (CTS) functioning dynamics under the conditions of the uncertainties and multifactorial risks is worked out.

The new research technology to deposition of submicron (20-100 nm) ferroelectric thin films (FTF) for acoustic-volatile ferroelectric storage elements. Improved equipment for deposition and etching of FTF on silicon substrates with CMOS structures and construction of cathode with a circular target and disk fragments, which ensures uniform thickness and composition of FTF during their deposition method ion-plazmа sputtering in magnetron-type reactor with closed drift of electrons.

The equations of thermal balance for system « space vehicle – device – thermocontrol system – the space environment» for the thermosensitive device are elaborated with the account of heat transfer, which heat pipes realize. On basis of the analysis of these equations for device boundary conditions a new thermal concept of creation of effective thermal control systems of electronic devices with gas-regulated heat pipes is offered and checked experimentally.

The method of GARCH model synthesis (Generalized autoregressive conditional heteroscedasticity) was developed for prediction of maximal sample conditional variances of output coordinates of multidimensional heteroscedastic processes with multirate discretization. To achieve maximal prediction accuracy the algorithm of adaptive adjustment of GARCH model coefficients was devised.

The complex solving of problems of forecasting of residual life of EPS power stations and subsystems electrical equipment and estimation of risk of power supply reliability decreasing in case of electrical equipment failures is in the conditions of an illegibility, incompleteness of the information and practical absence of the mathematical description of the electric equipment processes with the aim of determining the residual life.

Experimental researches of blasting cavity in soil massif and deformed irregular zone forming in pulsated regime with structurizing materials participation are provided for seismicsteady and waterproof screens organization. The acting models of hydraulic jack and gas producer equipment are developed...

Mathematical models of the positional error in working place of technological equipment are creative. Dependence of the spatial error of the positional of cutting tool and detail at occurrence in coordinate system is defined. Properly this severely have an influence on accuracy for the production precision details. Mathematical models and expediency theirs use at creation of express-system of the positional error definition are creative. Properly mathematical models of the zonal precision, as well as principles and guidelines of this used in technological processes.