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Journal of Automation and Information Sciences

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ISSN Print: 1064-2315
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Journal of Automation and Information Sciences

DOI: 10.1615/J Automat Inf Scien.v38.i2.40
pages 46-75

Optimal Control of a Conditionally Correct System of Thermal Stress State for a Composite Body

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

New problems of optimal control of thermal stresses in a composite body, when its thermal state is described by a Neumann problem with non-unique solution, are studied. In all studied cases with quadratic cost functionals, existence of unique optimal controls is proved. An opportunity of derivation of computational schemes by finite element method for determination of approximations of optimal controls of considered systems is indicated.