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Journal of Automation and Information Sciences
DOI: 10.1615/JAutomatInfScien.v35.i5.10
21 pages
Optimal Control of a Parabolic System under Conditions of Concentrated Heat Capacity
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
Краткое описание
We consider new problems of optimal control of distributed systems described by initial boundary value problem for a parabolic equation with conditions, which contain time derivative of state and the quadratic cost function. For all considered cases the theorems of existence of the unique optimal controls were proved.
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