On one problem of controlling the heating of a rod system under uncertainty

Autor:	I.V. Izmest'ev, V.I. Ukhobotov
Rok vydání:	2022
Předmět:	Fluid Flow and Transfer Processes General Computer Science General Mathematics
Zdroj:	Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki. 32:546-556
ISSN:	2076-5959 1994-9197
DOI:	10.35634/vm220404
Popis:	The problem of control of a parabolic system, which describes the heating of a given number of rods, is considered. The density functions of the internal heat sources of the rods are not exactly known, and only the segment of their change is given. Control are point heat sources that are located at the ends of the rods. The goal of the choice of control is to ensure that at a fixed time the modulus of the linear function determined using the average temperatures of the rods does not exceed the given value for any admissible functions of the density of internal heat sources. A technique has been developed for reducing this problem to a one-dimensional control problem under uncertainty. Necessary and sufficient termination conditions are found.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6b1109fe4f5eb17b9d0bcad3e325be3f https://doi.org/10.35634/vm220404 Zobrazit plný text záznamu