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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