The task of state reconstruction of thermodynamic object based on its initial conditions reconstruction has been considered. The method of integral measurement using for observer realization has been proposed. All-purpose ofcgtrnbserver for any variety of models has been synthesized.

Formalized theory of hyperrational numbers is stated in the paper. The theory is used for modeling of the real and complex analysis elements in the framework of formalized number theory. The idea of such modeling comes from A. Dragalin. The result functions modeling the real and complex functions are given as an application.

Facility analysis of continuous representation of a technical object remote control task with a channel environ-ment factor is discussed. The procedure of control synthesis is suggested with a glance to the channel environ-ment factor based on such system parameters as characteristic frequency and phase stability factor.

The problem of degeneration control of complex dynamic systems of constructive type with human components is concerned in this note. Such systems are usually involved into the technological process for achievement of the best common result, for example: crew, research laboratory staff, any functional or creative group, etc. De-generation functionals constructed with singular values of criterion system matrixes are used for degeneration control estimation.

The problem of dual-link optoelectronic measuring system synthesis with interval modeling representations is stated and solved in the paper. Expansion-modal method is used for synthesis with a glance to a single output feedback existence in the original dynamic object structure.

The article is devoted to the analysis of an asymmetrical shaft heating influence of an unbalanced shaft on a tra-jectory of a synchronous whirl in the cylindrical bearing. The mathematical model including both the thermohy-drodynamic analysis of bearings and the analysis of the asymmetrical shaft heating influence on its trajectory is developed. The scheme of the numerical solution of the equations in the model is constructed. The system con-sisting of a shaft with two bearings and the overhung disk was considered as an example.

This article deals with evolution of known approaches about compensation of harmonic disturbances using only output measuring. Approach based on harmonic disturbance compensation with unknown frequency, exciting on linear control object, is proposed. A disturbance rejection task for linear object with any relative degree is considered in this work.

Application of variational and finite element statements with two scalar potentials for solving three-dimensional magnetostatic problems with field separation are described in this paper. The use of this approach is illustrated by the sample of quadrupole numerical simulation.

Analytical dependences of rotating self-gravitating gas as a result of nonstationary processes three-dimensional modeling in the gravitating gas system with a self-consistent field are received. Numerical realization of the model of unstable 3D processes in gravitating gas systems with a self-consistent field in the Cartesian coordi-nates is considered. A modified rotation-invariant fluids-in-cell method for numerical realization of equations of gas dynamics is considered. Results of applying the numerical model in a spatial case are presented.

Data structure mathematical model for automated control systems of enterprise production assets is suggested in the article Problems of technical system condition forecasting are given special attention to. The algorithm of data structure design according to mathematical model is proposed.

The article deals with the original mathematical method of age-related changes analysis in human neuromuscular system. It is based on the statistical memory effects in physiological time series of the human neuromuscular system. The developed analytical method allows revealing the stochastic features of the force output variability for the different age groups. The comparative analysis of the statistical memory quantifiers points to the significant alterations in the manifestation of the memory effects in human neuromuscular activity during the process of aging. Particularly, the force output variability of the old and older-old people is characterized by more sig-nificant fluctuations and by the weakening of the long-range memory in comparison with the young people’s muscular activity. Besides we disclose the specific features in behavior of the spatial and spectral characteristics that belong to the different age groups of healthy people. Particularly, the distinctive frequencies, reflecting the periodic features in functioning of the human muscular system, are revealed. The developed method is useful for understanding the physical mechanisms, which underlie the process of biological aging.

The article gives information on action mechanism of erbium laser to hard biological tissues. In addition a new adequate simulator of enamel and dentine ablation was devised. Also the article shows a calculation of shape and sizes of crater, appeared after influence of radiation of erbium laser to hard tissue. The obtained results, advan-tages and disadvantages of this research effort are discussed.

Forecasting possibility for multisubject competition results with the help of philosophy model of 36 China stratagems on the information technologies platform is described in the article.

The article deals with risk estimate, not only as a management function, but as an institution protection in general and its abilities to function.

The purpose of the given project is to study one of the major aspects of stable and safe existence of information technologies, computer systems and programming technologies – the presence of a «dead code», viruses and not declared possibilities in the software with their guaranteed revealing during the whole life cycle of the system.

The method of protection profile development for automated banking systems is considered.