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Approximate Optimal Controller for Weakly Nonlinear Evolutionary Equation of Parabolic Type

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Abstract

We consider the optimal control problem for solutions of the parabolic equation with the right-hand side of the form ε F (y), where ε > 0 is a small parameter, with the coercive objective functional and bounded control. We use the formula of the optimal controller of the unperturbed problem and substantiate the form of the approximate controller with switching for the original problem.

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Authors and Affiliations

  1. National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute,”, Kyiv, Ukraine

    N. V. Gorban

  2. Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

    O. A. Kapustian & O. V. Kapustyan

Authors
  1. N. V. Gorban
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  2. O. A. Kapustian
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  3. O. V. Kapustyan
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Corresponding author

Correspondence to N. V. Gorban.

Additional information

The publication contains the results of the research financially supported by the NRFU (Project F 81/4174).

Translated from Kibernetyka ta Systemnyi Analiz, No. 6, November–December, 2021, pp. 46–52.

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Gorban, N.V., Kapustian, O.A. & Kapustyan, O.V. Approximate Optimal Controller for Weakly Nonlinear Evolutionary Equation of Parabolic Type. Cybern Syst Anal 57, 883–888 (2021). https://doi.org/10.1007/s10559-021-00414-1

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  • DOI: https://doi.org/10.1007/s10559-021-00414-1

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