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Journal of Automation and Information Sciences
SJR: 0.238 SNIP: 0.464 CiteScore™: 0.27

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

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v31.i12.70
pages 53-63

Sequential Decomposition in Problems of Optimization of Dynamic Processes with Models in Inclusions

Gennadiy M. Bakan
Training and Complex "Institute of Applied System Analysis" Ministry of Education and Science of Ukraine and National Academy of Sciences of Ukraine at National Technical University of Ukraine"Kiev Polytechnical Institute",Kiev


The set-theoretic approach to decomposition of iteratively solved optimization problems into a sequence of single-run solutions is developed. The ideas of sections and preimages make the basis of the approach. These concepts have been realized in constructively applicable conditions (in the form of functional equations) obtained for problems of optimization of a dynamic process given by set inclusions.

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