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Guaranteed Control Problem for a Parabolic Equation with Memory

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Abstract

We consider the feedback control problem for a nonlinear distributed equation with memory. An algorithm for solving this problem based on constructions of the theory of positional differential games is proposed under the assumption that the equation is subjected to an unknown dynamic disturbance.

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Authors and Affiliations

  1. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences, Yekaterinburg, 620990, Russia

    V. I. Maksimov

  2. Lomonosov Moscow State University, Moscow, 119991, Russia

    V. I. Maksimov

Authors
  1. V. I. Maksimov
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Correspondence to V. I. Maksimov.

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Russian Text © V.I. Maksimov, 2019, published in Differentsial’nye Uravneniya, 2019, Vol. 55, No. 1, pp. 103–110.

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Maksimov, V.I. Guaranteed Control Problem for a Parabolic Equation with Memory. Diff Equat 55, 105–112 (2019). https://doi.org/10.1134/S0012266119010105

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  • DOI: https://doi.org/10.1134/S0012266119010105

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