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Mathematical Differential Models and Methods for Assessing the Cybersecurity of Intelligent Computer Networks for Control of Technological Processes of Railway Power Supply

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Abstract

The problem of cybersecurity of computer networks for control of power supply at the level of railroads is analyzed and a graph of the topology of a computer network for control of power consumption is proposed. Based on the Pukhov theory of differential transformations, a number of differential mathematical models are proposed to assess the level of cybersecurity of a computer network for control of power supply. For differential images, a cybersecurity criterion is proposed and the minimax principle is developed for the worst combination of the intensity of cyberattacks and the flow of protective actions. A method of predictive search for an optimal cybersecurity strategy by the extremum analysis of a functional for the case of stochastic intensity of flows of cyberattacks is developed.

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Correspondence to O. I. Stasiuk.

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Translated from Kibernetika i Sistemnyi Analiz, No. 4, July–August, 2018, pp. 173–181.

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Stasiuk, O.I., Grishchuk, R.V. & Goncharova, L.L. Mathematical Differential Models and Methods for Assessing the Cybersecurity of Intelligent Computer Networks for Control of Technological Processes of Railway Power Supply. Cybern Syst Anal 54, 671–677 (2018). https://doi.org/10.1007/s10559-018-0068-2

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  • DOI: https://doi.org/10.1007/s10559-018-0068-2

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