Abstract. The problem of the circuit formalization of decentralized control of complex multidimensional objects using various methods is investigated. A multidimensional object is considered as a dynamic system with discrete time. The spaces of the object states, control actions, goals, observed parameters, and analytical estimates are formalized. Analytical estimates are calculated using the integral indicators. Evaluation of the integral indicators with selectable depth analysis of time series for each of sixteen studied control modes is carried out. For these modes, the optimal field is formed when selecting the optimal control. The formalization of a complex multidimensional object allows to turn from general representation of the system to its subsystems. The problems that can be solved with the proposed formalization of the object and corresponding methods are considered: the Kalman filter, neural network forecast, recurrent equation, and balances.

Keywords: control theory, dynamic system, integral indicators, mode, analysis depth

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