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Solution to Control Problems for Parabolic Systems

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Abstract

The problems of control of parabolic systems in bounded space-time, bounded space, and bounded time domains are formulated, solved, and analyzed. State functions for such systems are controlled through external dynamic distributed perturbations and initial and boundary conditions. Conditions of accuracy and uniqueness of the solutions are analyzed.

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Authors and Affiliations

  1. National Academy of Sciences of Ukraine, V. M. Glushkov Institute of Cybernetics, Kiev, Ukraine

    V. V. Skopetskii & T. Yu. Blagoveshchenskaya

  2. T. G. Shevchenko National University, Kiev, Ukraine

    V. A. Stoyan

Authors
  1. V. V. Skopetskii
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  2. V. A. Stoyan
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  3. T. Yu. Blagoveshchenskaya
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Skopetskii, V.V., Stoyan, V.A. & Blagoveshchenskaya, T.Y. Solution to Control Problems for Parabolic Systems. Cybernetics and Systems Analysis 39, 275–283 (2003). https://doi.org/10.1023/A:1024795424188

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  • DOI: https://doi.org/10.1023/A:1024795424188

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