Expressions for vectors of a pulling down and matrixes of diffusion of subsystems of difficult stochastic system in which the components depending on determined and casual influence of other subsystems of system are considered are analytically received.

The Boolean function expansions and representation forms which are based on exclusive or operation are a key facility for design, test and diagnosis of digital systems and computer programs. The Zhegalkin polynomials, ReedMuller expressions and functional binary decision diagrams are among them. In the paper, novel expansions and Boolean function representation forms that are constructed using the partial logic, minimization operation and exclusive or operation are proposed. They generalize the positive and negative Davio expansions, take into account the orthogonality conditions for the minimization operation products and provide the creation

The general principles of an estimation of efficiency of application of pilotless aviation complexes are considered at monitoring of a terrestrial surface in the conditions of presence of unauthenticity of the information on the basis of mathematical  modelling  with  the  account  of  hierarchical  construction  and  influence of  the  human  factor.  The substantiation of indicators of efficiency of information system and likelihood characteristics of an estimation of the information necessary for decision-making is spent.

The mathematical and simulation models of oscillatory systems of mobile machines with controlled damping characteristics of the elements based on the use of smart fluids. Comparative results of modeling one-mass oscillation system with passive and semi-active cushioning unit of the mobile machine.

The directions of efficiently information management for radiofrequencies spectrum (RFS) use are analyzed. The analyses of such direction abroad are done. The appreciation technology of technical, economical, social efficiency for radiofrequencies spectrum use are discussed. The software structure of information management for radiofrequencies spectrum use are proposed,

The problem of identifying the parameters of the stochastic phase control system defined by mathematical models of the process and meter signals in the form of equations processes random structure. An example showing the performance of the identification algorithm.

Studying the optimized control law specified criteria on UAV while hovering over a path defined by the reference points in the inertial frame. An illustrative example is the  theoretical efficiency of the proposed provisions.

In article are considered modern aspects of representation of information processes in promptly developing sphere – «cloudy» technology. On an example of activity of company Microsoft technological directions of possible «cloudy» decisions reveal.

The article touches upon such issues as mathematical model validity and accuracy of the obtained results, considering features of the finite element approach to condensing unit parametric modeling. Acceptable simplifying assumptions of a finite-element model of a condensing unit to define natural frequency spectrum is investigated and modal analyses of several simplified models are conducted. Eigensolution is implemented on a specific example of a system.