Application of tensor methodology and cluster analysis in modeling processes related to the assessment of the functional state of critical information infrastructure objects under destructive electromagnetic impacts

The purpose of the research is to substantiate the possibility of using the tensor and cluster analysis methodology to simulate the processes associated with the assessment of the functional state of critical information infrastructure (CII) objects in conditions of destructive electro-magnetic influences that cause functional damage to the microelectronic component of the information processing tools (routers, controls, computer equipment and monitoring) critical information infrastructure. Methods . A systematic approach was used to model processes, as well as methods of tensor and cluster analysis in the framework of assessing the functional state of objects of critical information infrastructure in conditions of destructive effects. The integration of these approaches makes it possible to optimize the parameters of networks and communication nodes, as well as to increase their resistance to non-smooth destructive effects. Results . A mathematical model has been developed to describe the state of the critical information infrastructure, based on the principles of tensor and cluster analysis, as well as on the hierarchical procedure for "degradation of the critical information infrastructure by watering" under conditions of destructive electromagnetic exposure. The proposed model is intended for the formation and implementation of decisive rules aimed at ensuring the stable functioning of critical information systems. Conclusion . Based on the study, the possibility of applying tensor and cluster analysis to process modeling was proved related to the assessment of the functional state of critical information infrastructure objects under conditions of destructive electromagnetic influences and the hierarchical procedure of "degradation of critical information infrastructure by absorption" with the formulation and implementation of decisive rules during the investigated process, that will make it possible to subsequently apply the developed models and methods to increase protection of object elements and critical information infrastructure from individual external destructive electromagnetic effects.