Oscillatory-Wave Approach to System-Dynamic Modeling of Industrial Cyber-Physical Systems

The article concludes with the increasing role of system-dynamic digital twins of cyber-physical production processes, which have advanced capabilities for early recognition of abnormal oscillatory-wave effects of instability. The singular-spectral decomposition of a time series of indicators based on the multidimensional "Caterpillar" method is considered a universal approach. This approach makes it possible to formalize the procedure for managing the instability risks by modeling variants of critical combinations of events in the oscillatory-wave processes of changes in controlled parameters.