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Formulation of a control problem on a discrete uneven scale under conditions of irregular stochastic external influences

2025, vol.17 , no.2, pp. 57-64

Article [2025-02-06]

Authors
S. A. Oleinikova
A. S. Koptelova
O. Yu. Zaslavskaya
Yu. V. Redkin
P. A. Rahman
S. A. Sorokin
O. Ja. Kravets
Abstract

The article presents an approach to the study of the control problem on a discrete uneven time scale under conditions of irregular stochastic external influences. The purpose is a formalized description of the control process of the managed system, which takes into account the monitoring results and provides the opportunity to find optimal mechanisms for influencing the control object. By choosing certain control mechanisms at a particular moment in time, the subject of control expects that the system, under their influence, will enter a certain state at the next moment in time. In addition, it is assumed that the control object periodically receives external influences, the impact of which is extremely difficult to predict. To form a control action, it is necessary to obtain information about the system states. For this purpose, a monitoring system is provided, which at the necessary time takes results about the conditions of the control object. If the decision maker has the opportunity to spend money on all the mechanisms he plans, then the task will be reduced only to finding the minimum required amount of costs for each of these mechanisms. Otherwise, it is necessary to allocate the available funds in such a way that the effectiveness of choosing all the mechanisms would be maximized. As a result, a multi-criteria optimization problem has been formulated, the solution of which will make it possible to form the best control.

Keywords

managed system, formal description, stochastic impacts, cost allocation, impact mechanisms

DOI

https://doi.org/10.59035/BVEG1674

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Citation of this article:

S. A. Oleinikova, A. S. Koptelova, O. Yu. Zaslavskaya, Yu. V. Redkin, P. A. Rahman, S. A. Sorokin, O. Ja. Kravets. Formulation of a control problem on a discrete uneven scale under conditions of irregular stochastic external influences. International Journal on Information Technologies and Security, vol.17 , no.2, 2025, pp. 57-64. https://doi.org/10.59035/BVEG1674