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Journal of Automation and Information Sciences
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

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

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v31.i12.50
pages 33-44

Optimal Bounded Control Synthesis for a Parabolic Boundary-value Problem with Fast Oscillatory Coefficients

Elena A. Kapustyan
Kyiv National Taras Shevchenko University, Ukraine
Alexander G. Nakonechnyi
Kiev National Taras Shevchenko University, Kiev

ABSTRAKT

We construct approximations of optimal bounded controls for optimal control synthesis in a parabolic problem with fast oscillatory coefficients. We prove their convergence to the exact values. We receive these results under the assumption that the functional is the semi-definite one and the synthesis law is the parametric one.


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