Optimal Stabilization in Systems of Linear Differential Equations
Loading...
Date
2024-06-30
Authors
Khusainov, Denys Ya.
DiblĂk, Josef
Shatyrko, Andrej
Hahurin, Zhenya
ORCID
0000-0001-5009-316XAdvisor
Referee
Mark
Journal Title
Journal ISSN
Volume Title
Publisher
Dnipro National University
Altmetrics
Abstract
This article considers the optimal stabilization problems for complex dynamical systems, which can be described in terms of linear differential equations. At the beginning of the article, general provisions on optimal stabilization and the application of the apparatus of optimal Lyapunov functions for the purpose of solving the formulated problem are given. To ensure consistency and easier understanding of the obtained results, the systems with scalar control are considered first. The main results were obtained for systems with n-dimensional control and the presence of a diagonal matrix in the quality criteria. Finally, the conditions are extended to the case when a matrix of the general form is used in the quality criterion.
Description
Citation
Journal of Optimization, Differential Equations and Their Applications. 2024, vol. 32, issue 1, p. 84-96.
https://model-dnu.dp.ua/index.php/SM/article/view/197
https://model-dnu.dp.ua/index.php/SM/article/view/197
Document type
Peer-reviewed
Document version
Published version
Date of access to the full text
Language of document
en