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Journal of Automation and Information Sciences

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ISSN Print: 1064-2315
ISSN Online: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v34.i1.40
21 pages

Optimal Control of an Elliptic System with Conditions on a Component Thin Inclusion

Ivan V. Sergienko
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kyiv, Ukraine
Vasiliy S. Deineka
V. M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kyiv, Ukraine

ABSTRACT

We consider new problems of optimal control for distributed systems. These problems are described by an elliptic equation with conjugation conditions and a quadratic function, which is minimized. We have constructed the calculation schemes of increased order of accuracy of their discretization for the case when the set of admissible controls U coincides with the complete Hilbert space of controls U.