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Today, several methods are proposed and tested for controlling many nonlinear and unstable systems. This study employed the sliding mode control (SMC) and proportional-derivative (PD), which are used to control the position and modeling of ball and beam system that is a fundamental system used to test the control methods. Such systems are nonlinear and unstable due to their nature. Therefore, these systems are affected by external disturbances and this leads to a decrease in the control quality.

Global competition is growing not only on a products/firms level, but also among countries. There are many approaches to interpretation of a concept of the “country competitiveness”, which in particular means “the state of the country in the global market due to the international division of labor, national conditions and factors of production and its ability to compete effectively in world markets”.

This article is devoted to the problems of the existing residential buildings of 70-80 years of construction of the last century, which have been in operation for about 50 years and are subject to immediate technical inspection. The most important factor for the safe operation of such buildings is the quality of construction, as in this period the construction was performed with many shortcomings that are manifested today. The article describes the problem of joints of loggias with the building in the design and construction of multi-storey buildings with load-bearing brick walls.

Dynamic model for research of object transportation location influence on its vibrating loading by moving through a number of single obstacles, road with random microprofile and rough road is offered. Differential equations and methods of their integration in MATLAB Simulink software product are presented. The values of frequencies and amplitudes of vertical oscillations, vibration acceleration of the transportation object at different locations in the vehicle body were obtained.

This article deals with the condition of existing residential buildings 50–60 years, which are outdated and are subject to immediate technical inspection and reinforcement. The most important factor for the safe operation of such buildings is the quality of construction factor, since in the 50–60s the construction was carried out with many of the shortcomings that are presently present.

Transformation of approaches to business processes modeling in the context of international activity is an effective solution for finding options for expanding the organization's activities, forecasting and minimizing potential risks. The chosen topic is relevant for the study, as the current market conditions are increasing the role of the use and implementation of modern methods of modeling and optimization of business processes in enterprises.

Introduction. The application of a systematic approach to business process modeling is an effective solution for finding options for optimizing the organization’s activities, forecasting and minimizing potential risks. The correct construction of the model allows to systematize each individual process, and all business processes of the enterprise simultaneously. It is important to take into account the peculiarities of the functioning of individual enterprises and to construct business processes in accordance with them.