Publication detail

Optimal Stabilization in Systems of Linear Differential Equations

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

Original Title

Optimal Stabilization in Systems of Linear Differential Equations

Type

journal article in Scopus

Language

English

Original 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.

Keywords

control; Lyapunov functions method; stability; stabilization

Authors

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

Released

30. 6. 2024

Publisher

Dnipro National University

Location

Dnipro, Ukraine.

ISBN

2617-0108

Periodical

Journal of Optimization, Differential Equations and Their Applications

Year of study

32

Number

1

State

Ukraine

Pages from

84

Pages to

96

Pages count

13

URL

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

Full text in the Digital Library

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"
}