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The article is devoted to the development of a mathematical apparatus for the state estimation of the integrated security system (ISS) artificial traffic installation (ATI). The article analyzes the state characteristics of ISS ATI. It is noted that the estimates of the mathematical expectation show the general direction of changes in ISS average functioning. The article provides a selection of statistical analysis criteria for ISS ATI. The features of state analysis for ISS ATI are given. It is noted that checking the normal distribution should be a preliminary stage in the ISS ATI state analysis and a significant deviation from the normal distribution law can serve as a diagnostic sign of the of the system non-stationarity. Therefore, such a comparison is a sufficient tool for identifying the differences, and it should be used in the first stage of the analysis of the ISS ATI state, making possible to draw fairly reliable conclusions about the system state. The article presents the developed methodological principles of ISS ATI diagnostics. For stationarity ISS ATI analysis a methodology for diagnostic analysis, which consists in comparing the statistical current (dysfunctional) characteristics and reference implementations of the system functioning, has been developed. In conclusion, it was concluded that the use of this mathematical apparatus in the ATI security systems development makes it possible to significantly reduce the cost of their implementation and significantly increase ISS efficiency when implemented on ATI.

Development of a mathematical apparatus for state estimation of an integrated safety system for an artificial traffic installation