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Method of controlled models in the problem of reconstructing a boundary input

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Abstract

The problem of dynamic reconstruction of boundary controls in a nonlinear parabolic equation is considered. In the case of a control concentrated in the Neumann boundary conditions, a solution algorithm is described, which is stable with respect to the information noise and calculation errors. The algorithm is based on the construction of feedback-controlled auxiliary models.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620219, Russia

    V. I. Maksimov

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

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Original Russian Text © V.I. Maksimov, 2008, published in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Vol. 262, pp. 178–186.

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Maksimov, V.I. Method of controlled models in the problem of reconstructing a boundary input. Proc. Steklov Inst. Math. 262, 170–178 (2008). https://doi.org/10.1134/S0081543808030139

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