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A model of optimal control over a nonlinear multidimensional innovation diffusion process

  • Systems Analysis
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Cybernetics and Systems Analysis Aims and scope

Abstract

A model of competitive innovation diffusion is considered. The model is based on the Lotka-Volterra system and an initial-boundary problem for a system of quasilinear parabolic equations. The maximum principle is proved for the problem of diffusion of two competitive innovations, and sufficient conditions of existence of optimum control are obtained for the system. A numerical algorithm is constructed for solving optimum control problems, and numerical results for a model example are presented.

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Authors and Affiliations

  1. National State Taras Shevchenko University, Kiev, Ukraine

    V. V. Akimenko & I. I. Sugonyak

Authors
  1. V. V. Akimenko
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  2. I. I. Sugonyak
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Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 120–133, July–August 2008.

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Akimenko, V.V., Sugonyak, I.I. A model of optimal control over a nonlinear multidimensional innovation diffusion process. Cybern Syst Anal 44, 564–574 (2008). https://doi.org/10.1007/s10559-008-9027-7

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  • DOI: https://doi.org/10.1007/s10559-008-9027-7

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