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Bounded approximate synthesis of the optimal control for the wave equation

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Abstract

We consider the problem of optimal control for the wave equation. For the formulated problem, we find the optimal control in the form of a feedback in the case where the control reaches a restriction, construct an approximate control, and substantiate its correctness, i.e., prove that the proposed control realizes the minimum of the quality criterion.

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Authors and Affiliations

  1. Shevchenko Kyiv National University, Kyiv

    A. V. Sukretna

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  1. A. V. Sukretna
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 8, pp. 1094–1104, August, 2007.

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Sukretna, A.V. Bounded approximate synthesis of the optimal control for the wave equation. Ukr Math J 59, 1212–1223 (2007). https://doi.org/10.1007/s11253-007-0081-5

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  • DOI: https://doi.org/10.1007/s11253-007-0081-5

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