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An optimal control model for a system of degenerate parabolic integro-differential equations

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Cybernetics and Systems Analysis Aims and scope

Abstract

An initial-boundary-value problem for a system of degenerate parabolic integro-differential equations is considered. The sufficient conditions for the existence and uniqueness of its generalized solution and for the existence of at least one optimal control for a given performance functional are obtained. A stable numerical solution to the initial-boundary-value problem is derived for a locally one-dimensional case and conditions are formulated for constructing a stable numerical algorithm of the optimal control problem on a class of piecewise-smooth control functions.

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Authors and Affiliations

  1. Taras Shevchenko National University, Kyiv, Ukraine

    V. V. Akimenko, A. G. Nakonechnyi & O. Yu. Trofimchuk

Authors
  1. V. V. Akimenko
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  2. A. G. Nakonechnyi
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  3. O. Yu. Trofimchuk
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Translated from Kibernetika i Sistemnyi Analiz, No. 6, pp. 90–102, November–December 2007.

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Akimenko, V.V., Nakonechnyi, A.G. & Trofimchuk, O.Y. An optimal control model for a system of degenerate parabolic integro-differential equations. Cybern Syst Anal 43, 838–847 (2007). https://doi.org/10.1007/s10559-007-0108-9

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  • DOI: https://doi.org/10.1007/s10559-007-0108-9

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