Ukrainian Mathematical Journal

, Volume 54, Issue 12, pp 2067–2074 | Cite as

Approximate Synthesis of Optimal Bounded Control for a Parabolic Boundary-Value Problem

  • O. A. Kapustyan


We consider the approximate optimal control based on the principle of feedback relation (synthesis) for a parabolic boundary-value problem. We represent the feedback operator as Fourier series in the eigenfunctions of the Laplace operator, which does not enable us to use these results in practice. In view of this fact, we justify the convergence of approximate controls, switching points, and values of the quality criterion to the exact values of the corresponding variables.


Fourier Series Quality Criterion Laplace Operator Bound Control Switching Point 
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Copyright information

© Plenum Publishing Corporation 2002

Authors and Affiliations

  • O. A. Kapustyan
    • 1
  1. 1.Kiev UniversityKiev

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