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

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.