Detail publikačního výsledku

Optimal Stabilization in Systems of Linear Differential Equations

KHUSAINOV, D.; DIBLÍK, J.; SHATYRKO, A.; HAHURIN, Z.

Originální název

Optimal Stabilization in Systems of Linear Differential Equations

Anglický název

Optimal Stabilization in Systems of Linear Differential Equations

Druh

Článek Scopus

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

control; Lyapunov functions method; stability; stabilization

Klíčová slova v angličtině

control; Lyapunov functions method; stability; stabilization

Autoři

KHUSAINOV, D.; DIBLÍK, J.; SHATYRKO, A.; HAHURIN, Z.

Rok RIV

2025

Vydáno

30.06.2024

Nakladatel

Dnipro National University

Místo

Dnipro, Ukraine.

ISSN

2617-0108

Periodikum

Journal of Optimization, Differential Equations and Their Applications

Svazek

32

Číslo

1

Stát

Ukrajina

Strany od

84

Strany do

96

Strany počet

13

URL

https://model-dnu.dp.ua/index.php/SM/article/view/197

Plný text v Digitální knihovně

http://hdl.handle.net/11012/249478

BibTex

@article{BUT189323,
  author="Denys Ya. {Khusainov} and Josef {Diblík} and Andrej {Shatyrko} and Zhenya {Hahurin}",
  title="Optimal Stabilization in Systems of Linear Differential Equations",
  journal="Journal of Optimization, Differential Equations and Their Applications",
  year="2024",
  volume="32",
  number="1",
  pages="84--96",
  doi="10.15421/142405",
  issn="2617-0108",
  url="https://model-dnu.dp.ua/index.php/SM/article/view/197"
}

Dokumenty

197-382-1-SM