Information System Functioning Based on Multidimensional Time Series
Olena Nechyporuk, Serhii Podelskyi · Electronics and Control Systems · 2026
The paper addresses the problem of mathematical modeling of complex information systems characterized by a large number of interrelated parameters and heterogeneous information flows. Such systems demonstrate a dynamic behavior over time, which requires the application of methods capable of analyzing temporal dependencies between system parameters. A mathematical model of complex information system functioning based on multivariate time series is proposed. The developed model allows formalizing the processes of system state evolution and capturing relationships between different information streams. In the proposed approach, the system state is represented as a vector time process that includes multiple parameters describing various aspects of the system operation. The mathematical framework of the model describes the dynamics of system state formation and evolution while taking into account external influences and stochastic disturbances. The proposed approach enables a consistent analysis of multidimensional data and allows investigating patterns in the functioning of information systems in dynamic environments. Simulation experiments demonstrate the applicability of the proposed model for analyzing the behavior of complex information systems and evaluating their states based on temporal relationships between system parameters. The obtained results can be applied in the development of methods for processing multidimensional data and designing decision support systems for managing complex information processes.