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On the asymptotics of solution of one problem of optimal control of the small-parameter parabolic equation

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Abstract

For the singularly perturbed parabolic problem, a regularized asymptotics of the solution of the problem of optimal control was constructed. The solution asymptotics involves parabolic boundary-layer functions obeying a special function called the “complementary probability integral.”

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Authors and Affiliations

  1. “Manas” Kyrgyz-Turkish University, Bishkek, Kyrgyzstan

    A. S. Omuraliev & R. R. Rafatov

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  1. A. S. Omuraliev
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  2. R. R. Rafatov
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Original Russian Text © A.S. Omuraliev, R.R. Rafatov, 2011, published in Avtomatika i Telemekhanika, 2011, No. 1, pp. 66–79.

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Omuraliev, A.S., Rafatov, R.R. On the asymptotics of solution of one problem of optimal control of the small-parameter parabolic equation. Autom Remote Control 72, 61–73 (2011). https://doi.org/10.1134/S000511791101005X

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