Averaging method in the problem of optimal control for a perturbed parabolic equation

  • O. V. Kapustyan Taras Shevchenko National University of Kyiv
  • O. M. Stanzhytskyi Taras Shevchenko National University of Kyiv
  • I. D. Fartushny National technical University of Ukraine "KPI named after I. Sikorskyi", Kyiv
Keywords: optimal control, averaging, parabolic equation

Abstract

UDC 517.9

We consider the optimal control problem formed by a parabolic nonlinear equation with rapidly oscillating coefficients, an additive control function, and coercive cost functional. It is proved that the optimal value of the perturbed problem is close to the optimal value for the corresponding problem with averaged coefficients.

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Published
09.08.2022
How to Cite
Kapustyan , O. V., O. M. Stanzhytskyi, and I. D. Fartushny. “Averaging Method in the Problem of Optimal Control for a Perturbed Parabolic Equation”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 74, no. 7, Aug. 2022, pp. 973 -79, doi:10.37863/umzh.v74i7.7016.
Section
Research articles