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Model of the optimal control of funds and competitiveness of the information-communication company

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Cybernetics and Systems Analysis Aims and scope

Abstract

A two-level hierarchical organization system is used to consider a model for the optimal control of funds and competitive ability of an information–communication company. The model is based on a control problem for ordinary differential equations (that characterize the dynamics of funds) and on an initial–boundary-value problem for multidimensional quasilinear parabolic Lotka–Volterra equations (that describe the sales dynamics of competitive companies) and uses methods of optimal control for distributed-parameter systems. The sufficient existence conditions are established for the optimal control and a stable numerical algorithm is developed to search for optimal control functions.

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Correspondence to V. V. Akimenko.

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Translated from Kibernetika i Sistemnyi Analiz, No. 5, September–October, 2012, pp. 94–111.

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Akimenko, V.V., Yefimenko, A.A. Model of the optimal control of funds and competitiveness of the information-communication company. Cybern Syst Anal 48, 722–735 (2012). https://doi.org/10.1007/s10559-012-9452-5

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  • DOI: https://doi.org/10.1007/s10559-012-9452-5

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