ON THE CHERNOUS'KO TIME-OPTIMAL PROBLEM FOR THE EQUATION OF HEAT CONDUCTIVITY IN A ROD

ON THE CHERNOUS'KO TIME-OPTIMAL PROBLEM FOR THE EQUATION OF HEAT CONDUCTIVITY IN A ROD

The time-optimal problem for the controllable equation of heat conductivity in a rod is considered. By means of the Fourier expansion, the problem reduced to a countable system of one-dimensional control systems with a combined constraint joining control parameters in one relation. In order to impro...

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Bibliographic Details
Main Authors: Abdulla A. Azamov, Jasurbek A. Bakhramov, Odiljon S. Akhmedov
Format: Article
Language:English
Published: Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin. 2019-07-01
Series:Ural Mathematical Journal
Subjects:
Heat equation, Time-optimal problem, Pontryagin maximum principle, Suboptimal control, Synthesis of control
Online Access:https://umjuran.ru/index.php/umj/article/view/162

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https://umjuran.ru/index.php/umj/article/view/162

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