Fundamental research

Research of new effects of electromagnetic coupling in solid-state planar resonators and development of filters theory for Telecommunications

It developed the theory of the construction of small-sized planar filters with improved characteristics for telecommunication facilities. The theory involves the construction of a new direction of microwave bandpass filters, which concerns small comb and lattice filters stripline design with high dielectric constant. Until recently, this trend did not develop because there is a "scientific" prohibitions.

Investigation of the charge carriers localization and transport prcesses in organic semiconductors and their nanostructures

Technological methods and new nanocomposites made from semiconducting silicon-organic polymer poly(di-n-hexylsilane) PDHS and poly(methylphenylsilane) PMPS incorporated into nanoporous silicas with different pore diameter and geometry are developed. Controlled increase in silica pore diameter from 2.8 nm to 10 nm allows to investigate for the first time optical properties of polymers during transition from isolated polymer chain to polymer film and to establish possibilities of controlling this process.

Kinetic of metal ionization processes at complexation and polymerization effects

New method of ionization metal process management proposed. It based on addition of organic compounds which formed slightly soluble compounds with metal ions. Due to proposed scheme such layers formed on surface blocked layers which retard corrosion processes. Gravimetric provening of such criteria obtained. Experimental data on organic substances influence on cathodic and anodic over voltage obtained. Iron surface investigated by SEM and AFM. Model of system iron surface/solution has analyzed at organic substances influence.

Development of optimal control methods by flows in networks with using the theory of differential games

Research objective is development of new methods for control of dynamic and static flows in networks which based on application of differential games theory optimization methods. Investigation object is models and methods for distribution optimization of dynamic and static flows in networks with application of differential games theory. Effective methods of constraint problem solving for a wide linear games classes have been constructed.

Design, investigation and applications of principally new models of socio-economic systems

A new way of creating models of complex social systems based on the principle advantages of different exact combination of classes of models: cellular automata, neural networks and multiagent systems, and taking into account the properties of individuals as components of such systems. Found new approaches to building models of socio-economic systems. The new model taking into account the properties of prediction and considered their application to problems of traffic management.

Methods of non-linear analysis and topological methods of variation inequalities and evolution inclusions

Variation inequalities and evolution inclusions in Banach spaces with wλ0 – pseudo-monotone maps are investigated. The Faedo–Galerkin method and the method of finite differences for the resolvability for the given objects under the weakened +- coercive condition, wλ0 – pseudo-monotony, quasi-boundedness and condition Sk are based. The important a priory estimated are obtained. It is proved, that the class of maps with semi-bounded variation swallows the class of semi-monotone multi-valued maps. The class of multi-valued maps, under consideration, forms a convex cone in a class B(X;X*).

Methods and construction tools of the information security increase in the heterogeneous cluster systems

Principles of organization of the protected high-performance heterogeneous cluster systems (GСS) are developed. The method of adaptive control safety of calculations in GCS is developed, which provides a dynamic reaction on potential threats of safety on the basis of analysis of the new entered parameters: degrees of trust to the resources of GCS and values of the processed information. The formal model of safe administration of subject access to the GCS objects is offered. The methods of minimization of risk of protect are offered.