Automation and Remote Control

, Volume 72, Issue 1, pp 61–73 | Cite as

On the asymptotics of solution of one problem of optimal control of the small-parameter parabolic equation

  • A. S. Omuraliev
  • R. R. Rafatov
Determinate Systems


For the singularly perturbed parabolic problem, a regularized asymptotics of the solution of the problem of optimal control was constructed. The solution asymptotics involves parabolic boundary-layer functions obeying a special function called the “complementary probability integral.”


Remote Control Optimal Control Problem Arbitrary Function Boundary Problem Asymptotic Solution 
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Copyright information

© Pleiades Publishing, Ltd. 2011

Authors and Affiliations

  • A. S. Omuraliev
    • 1
  • R. R. Rafatov
    • 1
  1. 1.“Manas” Kyrgyz-Turkish UniversityBishkekKyrgyzstan

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