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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Bibliographic Details
Main Author: S. Ya. Zhukovich
Format: Article
Language:English
Published: Belarusian National Technical University 2022-06-01
Series:Системный анализ и прикладная информатика
Subjects:
Online Access:https://sapi.bntu.by/jour/article/view/553
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Description
Summary: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.
ISSN:2309-4923
2414-0481