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

Published: 01 September 2012 Publication History

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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            Published In

            cover image Cybernetics and Systems Analysis
            Cybernetics and Systems Analysis  Volume 48, Issue 5
            September 2012
            166 pages

            Publisher

            Kluwer Academic Publishers

            United States

            Publication History

            Published: 01 September 2012

            Author Tags

            1. Lotka---Volterra diffusion model
            2. company funds
            3. competition model
            4. information-communication system
            5. numerical modeling
            6. optimal control
            7. system of parabolic quasilinear equations

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