Optimal Stabilization in Systems of Linear Differential Equations

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Optimal Stabilization in Systems of Linear Differential Equations

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Optimal Stabilization in Systems of Linear Differential Equations

Popis výsledku anglicky

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.

Druh

J_SC - Článek v periodiku v databázi SCOPUS

CEP obor

—

OECD FORD obor

10100 - Mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2024

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Optimization, Differential Equations and Their Applications

ISSN

2617-0108

e-ISSN

—

Svazek periodika

32

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

UA - Ukrajina

Počet stran výsledku

13

Strana od-do

84-96

Kód UT WoS článku

—

EID výsledku v databázi Scopus

2-s2.0-85193231302