КЛАС ЗАДАЧ КЕРУВАННЯ ДЖЕРЕЛАМИ В РОЗПОДІЛЕНИХ СИСТЕМАХ НА ІМПУЛЬСНИХ, КУСКОВО-ПОСТІЙНИХ І ХЕВІСАЙДІВСЬКИХ ФУНКЦІЯХ

Problems of optimal control of movable lumped sources in distributed systems when controls are determined by functions as impulsive, piecewise constant, and Heaviside are considered. The optimal control problems are investigated for various cases, according to the position of the sources. The necess...

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Bibliographic Details
Date:2025
Main Authors: Aida-zade, K.R., Ashrafova, Y.R.
Format: Article
Language:English
Published: V.M. Glushkov Institute of Cybernetics of NAS of Ukraine 2025
Online Access:https://jais.net.ua/index.php/files/article/view/572
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Journal Title:Problems of Control and Informatics

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Problems of Control and Informatics
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Summary:Problems of optimal control of movable lumped sources in distributed systems when controls are determined by functions as impulsive, piecewise constant, and Heaviside are considered. The optimal control problems are investigated for various cases, according to the position of the sources. The necessary conditions of optimality are obtained with respect to all the considered problems of optimal control on these classes, which consists in deriving constructive analytical formulas for the gradient of a functional in the space of optimized parameters. The results of some numerical experiments are also given.