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A regularization algorithm for singular controls of parabolic systems

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Cybernetics and Systems Analysis Aims and scope

Abstract

A practically convenient method of regularization is proposed to solve an optimal control problem for a parabolic equation with a delta function on its right-hand side. The corresponding regularized analogue is proved to converge to a delta function in a negative space. The differential characteristics of the performance criterion are analyzed. An algorithm for finding the optimal control is developed for a regularized problem. Results from a numerical testing of the algorithm are presented.

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Authors and Affiliations

  1. Taras Shevchenko National University, Kiev, Ukraine

    N. I. Lyashko, A. E. Grishchenko & V. V. Onotskii

Authors
  1. N. I. Lyashko
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  2. A. E. Grishchenko
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  3. V. V. Onotskii
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Translated from Kibernetika i Sistemnyi Analiz, No. 1, pp. 86–94, January–February 2006.

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Lyashko, N.I., Grishchenko, A.E. & Onotskii, V.V. A regularization algorithm for singular controls of parabolic systems. Cybern Syst Anal 42, 75–82 (2006). https://doi.org/10.1007/s10559-006-0039-x

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  • DOI: https://doi.org/10.1007/s10559-006-0039-x

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