Abstract. The authors analyze the problem of cybersecurity of computer networks of railway power supply and propose the graph of topology of the computer network of energy consumption control. Based on the theory of Pukhov’s differential transformations, a number of differential mathematical models are proposed to assess the cybersecurity of computer networks of power control. In the field of differential images, a cybersecurity criterion is proposed and the minimax principle is developed for the worst combination of the intensity of cyber attacks and the flow of protective actions. The method of predictive search for the optimal cyber security strategy by the extremum analysis of the functional under stochastic flow intensity of cyber attacks is developed.

Keywords: cybersecurity, cyberspace, cyber threat, a differential mathematical model, differential conversion, intelligent techniques.