Hamiltanian minimum principle for optimum control of the distance learning process
A mathematical learning model based on control theory in the form of an inhomogeneous linear differential equation is proposed. Analytical formulas and graphs for optimal program control and optimal trajectory are obtained from the principle of the minimum of the Hamiltonian for autonomous systems.
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| Format: | Article |
| Language: | English |
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Belarusian National Technical University
2022-06-01
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| Series: | Системный анализ и прикладная информатика |
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| Online Access: | https://sapi.bntu.by/jour/article/view/553 |
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| _version_ | 1849398789268307968 |
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| author | S. Ya. Zhukovich |
| author_facet | S. Ya. Zhukovich |
| author_sort | S. Ya. Zhukovich |
| collection | DOAJ |
| description | A mathematical learning model based on control theory in the form of an inhomogeneous linear differential equation is proposed. Analytical formulas and graphs for optimal program control and optimal trajectory are obtained from the principle of the minimum of the Hamiltonian for autonomous systems. |
| format | Article |
| id | doaj-art-d09cf89add7948969e9fcc6e9ac80463 |
| institution | Kabale University |
| issn | 2309-4923 2414-0481 |
| language | English |
| publishDate | 2022-06-01 |
| publisher | Belarusian National Technical University |
| record_format | Article |
| series | Системный анализ и прикладная информатика |
| spelling | doaj-art-d09cf89add7948969e9fcc6e9ac804632025-08-20T03:38:30ZengBelarusian National Technical UniversityСистемный анализ и прикладная информатика2309-49232414-04812022-06-0101485010.21122/2309-4923-2022-1-48-50415Hamiltanian minimum principle for optimum control of the distance learning processS. Ya. Zhukovich0Borisov State Polytechnic College - Branch of the Belarusian National Technical UniversityA mathematical learning model based on control theory in the form of an inhomogeneous linear differential equation is proposed. Analytical formulas and graphs for optimal program control and optimal trajectory are obtained from the principle of the minimum of the Hamiltonian for autonomous systems.https://sapi.bntu.by/jour/article/view/553mathematical model of the distance learning processoptimal control theory |
| spellingShingle | S. Ya. Zhukovich Hamiltanian minimum principle for optimum control of the distance learning process Системный анализ и прикладная информатика mathematical model of the distance learning process optimal control theory |
| title | Hamiltanian minimum principle for optimum control of the distance learning process |
| title_full | Hamiltanian minimum principle for optimum control of the distance learning process |
| title_fullStr | Hamiltanian minimum principle for optimum control of the distance learning process |
| title_full_unstemmed | Hamiltanian minimum principle for optimum control of the distance learning process |
| title_short | Hamiltanian minimum principle for optimum control of the distance learning process |
| title_sort | hamiltanian minimum principle for optimum control of the distance learning process |
| topic | mathematical model of the distance learning process optimal control theory |
| url | https://sapi.bntu.by/jour/article/view/553 |
| work_keys_str_mv | AT syazhukovich hamiltanianminimumprincipleforoptimumcontrolofthedistancelearningprocess |