The article presents the results of correlation analysis of the causes of road accidents in such a modern metropolis as Minsk. Has been identified the most frequent causes of road accidents, including pedestrian collisions caused by drivers, collisions at intersections, incidents at controlled and unregulated pedestrian crossings, as well as on the roadway. The dependence of transport incidents on the time of day, day of the week and month of the year was investigated. Shows the periods when road traffic incidents occur from 3.00 to 6.00 h, from 15.00 to 18.00 and from 21.00 to 24.00 on Monday, Friday and Sunday in January, March, June, September, October and November. Methods of correlation and multiple regression analysis can be the basis of preventive traffic safety management in a modern metropolis.

The paper proposed a mathematical model that describes the dynamics of the physiological process of milk secretion in the cow’s udder, depending on the value of the time interval that has passed since the end of the last milking. The intensity of this process, and, consequently, the cow’s milk production level, depends, among other things, on the optimal choice of the multiplicity of milkings per day with certain time intervals between milkings. The proposed model will allow to take into account these factors in the analysis and optimization of conditions for the maintenance of dairy cattle herds. The results of the research are applicable in diagnosing the state of a cow, in a comparative assessment of the effectiveness of milking multiplicity, etc. The model’s determination coefficient is 0.82 for the aperiodic link used as a model. The advantage of the proposed approach to the identification of a biological object – a cow – is the use of a passive experiment technique based on statistical processing of experimental data on yields recorded by modern information systems for the management of cattle on existing dairy farms.

With the significant growth of the semiconductor industry, creating small devices with powerful processing ability and network capabilities are no longer a dream for engineers. Currently, Internet of Things (IoT) has become one of the hottest topics in both industry and academia of wireless communication field. The idea of the Internet of Things (IoT) is to connect every day physical objects such as microwave, doors, lightings and so on. The technical concept of the IoT is to enables these different physical objects to sense information using sensors and sends this information to a server. Industrial IoT is to integrate various technologies to improve business services in different sectors. It implicitly indicates the behavior of machine-to-machine communications. Each of industrial IoT as service domains has its own communication requirements that are measured differently in both such as reliability, Quality of service (QoS), and privacy. According to the development of industrial automation, the industrial Internet of things (IoT) is widely used in smart factories to capture the data and manage the production. One of the most important components of industrial IoT is the wireless sensor network (WSN), which are easy to deploy and use in indoor industrial environments for a IoT of tasks, such as irrigation, machine condition monitoring, and environment monitoring. There are a IoT of works focusing on the WSN in industrial IoT. For example, in, a WSN-based hidden Markov model is proposed to estimate the occupancy in the building (also see other works [1], [2]). In this paper, the research focus on 3-D mobile robot tracking in 5G wireless communication combine to sensor network and mobile robot path planning. The mobile robot can move fast in the three-dimensional (3-D) indoor industrial environment for many tasks such as the monitoring of possible damages on industrial plants [3], data gathering and transmission from wireless communication [4], transportation [5].

Unmanned aerial vehicles (UAVs) are increasingly used in military and scientific research. Some miniaturized UAVs rely entirely on the global positioning system (GPS) for navigation. GPS is vulnerable to accidental or deliberate interference that can cause it to fail. It is not unusual, even in a benign environment, for a GPS outage to occur for periods of seconds to minutes. For UAVs relying solely on GPS for navigation such an event can be catastrophic. This article proposes an extended Kalman filter approach to estimate the location of a UAV when its GPS connection is lost, using inter-UAV distance measurements Increasing the accuracy of coordinate’s determination is one of the most crucial tasks of the modern UAV navigation. This task can be solved by using different variants of integration of navigation systems. One of the modern variants of integration is the combination of GPS/GLONASS-navigation with the extended Kalman filter, which estimates the accuracy recursively with the help of incomplete and noisy measurements. Currently different variations of extended Kalman filter exist and are under development, which include various number of variable states [1]. This article will show the utilization efficiency of extended Kalman filter in modern developments.

The task of estimating the information contained in random signals from various sources – meters. It is assumed that the gauges are discrete and are described, like the original process assessed, by a discrete mathematical model in the form of difference equations. As an estimation algorithm, we consider a discrete Kalman filter, which, in the general case, when mathematical models are inadequate to real processes, can give distorted information. To improve the accuracy of estimation, it is proposed to apply the integration of all possible meters with the introduction of additional a priori information using a fuzzy logic system. At the same time, it is proposed to make a transition from the obtained probability characteristics of the estimated process to the membership functions of fuzzy logic based on the output filter parameters using the normalization of the posterior probability density. This approach allows to increase the accuracy of estimation, as it takes into account additional information and its complex processing.

The analytical method of synthesis of devices for joint optimal estimation of parameters and control of the state of nonlinear dynamic stochastic objects is considered. A brief review of the existing and promising methods of missile guidance, as well as a comparative description of the advantages and disadvantages. Methods of improving accuracy and jamming-resistance methods of guidance, one of which is an approach based on joint estimation and state control of nonlinear object with random driving and interfering influences.

The main directions of research on this subject, including statistical synthesis of the optimal control system, estimation of the potential characteristics of the designed system, analysis of the structure of the optimal system and evaluation of its simplification, the formation of quasi-optimal structures of the control system, evaluation of the criticality (sensitivity) of the system characteristics to changes in a priori information.

The choice of the invariant immersion method for the analytical design of the structure of the optical evaluation-control device is substantiated. Analytical expressions describing the algorithm of functioning of the device of joint estimation and control of the state of a multidimensional nonlinear multi-connected object are given.

Methods of reduction of control objects models containing oscillating and forcing links are proposed. Methods are based on using of quadratic equation modulus and coefficient of factorization that makes links discriminants equal or more than zero. Methods allow taking into account transfer factors alterations during reduction of objects models ant to maximum simplify quadratic equations of oscillating and forcing links. The order of reduced objects models is decreased and models behavior closely agrees with behavior of the original model. In that case synthesis of controllers is essentially simplified. Such controllers provide slight overshoot (less than 10–17%) during the work within control system. It can be reduced by changing of system gain. Examples of reduction of real control objects models and examples of synthesis of digital controllers and results of modelling are given.

Possibilities of using mathematical models of the theory of queues for the purpose of control of processes of discrete productions modeled by it in real time are investigated. As a model example, a system for managing the rearrangements of service items in queues was considered. For the analysis the methods of calculation of BMAP-controlled systems and the methods of the theory of recovery on periods of employment for queues with vacancies of requirements were used.

As a result of research it is found out that mathematical modeling in the theory of queues can be used for simulation of discrete production for the purpose of design and the production analysis, but cannot be used for management of the modeled processes in real time.

Expression for estimating the reliability of information during its transmission through quantum-cryptographic communication channel that contains a dead time photon counter has been obtained in this research. According to the results of mathematical modeling, the dependence of the reliability of the received data on the average time of single photon transmission of information was established. Studies have shown that with an increase in the average time of single photon transmission of information, these dependences grow, reaching saturation. Moreover, with equal parameters with an increase in the average duration of the dead time of a prolonging type, saturation occurs at large values of the average time of a single photon transmission of information.