Optimal Stabilization in Systems of Linear Differential Equations
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F24%3APU151901" target="_blank" >RIV/00216305:26220/24:PU151901 - isvavai.cz</a>
Result on the web
<a href="https://model-dnu.dp.ua/index.php/SM/article/view/197" target="_blank" >https://model-dnu.dp.ua/index.php/SM/article/view/197</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.15421/142405" target="_blank" >10.15421/142405</a>
Alternative languages
Result language
angličtina
Original language name
Optimal Stabilization in Systems of Linear Differential Equations
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
10100 - Mathematics
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Optimization, Differential Equations and Their Applications
ISSN
2617-0108
e-ISSN
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Volume of the periodical
32
Issue of the periodical within the volume
1
Country of publishing house
UA - UKRAINE
Number of pages
13
Pages from-to
84-96
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-85193231302