Modeling and Control for Complicated Education Systems
Тип публікації :
Стаття
Дата випуску :
2021
Автор(и) :
Капустян, О. А.
Петленко, Ю. В.
Мова основного тексту :
Англійська
eKNUTSHIR URL :
Випуск :
4
ISSN :
1812-5409
Початкова сторінка :
110
Кінцева сторінка :
115
Цитування :
[APA 7] Капустян, О. А., & Петленко, Ю. В. (2021). Modeling and Control for Complicated Education Systems. Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics, (4), 110–115. https://doi.org/10.17721/1812-5409.2021/4.17
[ДСТУ] Капустян О. А., Петленко Ю. В. Modeling and Control for Complicated Education Systems. Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics. 2021. no. 4. P. 110—115. DOI: 10.17721/1812-5409.2021/4.17 (date of access: 18.07.2026).
The paper aims to investigate the model of a complicated educational system, built on the basis of general principles of mathematical modeling of complex hierarchical systems. The model consists of three components, the interaction between them is provided by certain conditions. This interaction is the basis for modeling the main parameter of the study - the level of funding required for higher education.
An important feature of the modeled system is its controllability, because in a real educational system the controlling influence can be performed as an external management of the system to ensure an average level of funding. For the initial problem of optimal control, which consists of a parabolic equation with a multivalued reaction function of the system, the approximate synthesis problem for a certain class of target functionals with control restrictions is solved.
The results of modeling can be used in the development of various models of complex systems, as well as for decision-making in public administration and higher education management.
Pages of the article in the issue: 110 - 115
Language of the article: Ukrainian
An important feature of the modeled system is its controllability, because in a real educational system the controlling influence can be performed as an external management of the system to ensure an average level of funding. For the initial problem of optimal control, which consists of a parabolic equation with a multivalued reaction function of the system, the approximate synthesis problem for a certain class of target functionals with control restrictions is solved.
The results of modeling can be used in the development of various models of complex systems, as well as for decision-making in public administration and higher education management.
Pages of the article in the issue: 110 - 115
Language of the article: Ukrainian
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