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CANONICAL APPROXIMATIONS IN IMPULSE STABILIZATION FOR A SYSTEM WITH AFTEREFFECT. / Dolgii, Yuri.
в: Ural Mathematical Journal, Том 9, № 2, 2023, стр. 77-85.

Результаты исследований: Вклад в журнал › Статья › Рецензирование

Harvard

Dolgii, Y 2023, 'CANONICAL APPROXIMATIONS IN IMPULSE STABILIZATION FOR A SYSTEM WITH AFTEREFFECT', Ural Mathematical Journal, Том. 9, № 2, стр. 77-85. https://doi.org/10.15826/umj.2023.2.006

APA

Dolgii, Y. (2023). CANONICAL APPROXIMATIONS IN IMPULSE STABILIZATION FOR A SYSTEM WITH AFTEREFFECT. Ural Mathematical Journal, 9(2), 77-85. https://doi.org/10.15826/umj.2023.2.006

Vancouver

Dolgii Y. CANONICAL APPROXIMATIONS IN IMPULSE STABILIZATION FOR A SYSTEM WITH AFTEREFFECT. Ural Mathematical Journal. 2023;9(2):77-85. doi: 10.15826/umj.2023.2.006

Author

Dolgii, Yuri. / CANONICAL APPROXIMATIONS IN IMPULSE STABILIZATION FOR A SYSTEM WITH AFTEREFFECT. в: Ural Mathematical Journal. 2023 ; Том 9, № 2. стр. 77-85.

BibTeX

@article{50575f349dd143acbe622ce597a51eab,
title = "CANONICAL APPROXIMATIONS IN IMPULSE STABILIZATION FOR A SYSTEM WITH AFTEREFFECT",
abstract = "For optimal stabilization of an autonomous linear system of differential equations with aftereffect and impulse controls, the formulation of the problem in the functional state space is used. For a system with aftereffect, approximating systems of ordinary differential equations proposed by S.N. Shimanov and J. Hale are used. A method for constructing approximations for optimal stabilizing control of an autonomous linear system with aftereffect and impulse controls is proposed. Matrix Riccati equations are used to find approximating controls. {\textcopyright} 2023, Krasovskii Institute of Mathematics and Mechanics. All rights reserved.",
author = "Yuri Dolgii",
note = "This work was supported by the Russian Science Foundation (project no. 22-21-00714).",
year = "2023",
doi = "10.15826/umj.2023.2.006",
language = "English",
volume = "9",
pages = "77--85",
journal = "Ural Mathematical Journal",
issn = "2414-3952",
publisher = "Институт математики и механики им. Н.Н. Красовского УрО РАН",
number = "2",

}

RIS

TY - JOUR

T1 - CANONICAL APPROXIMATIONS IN IMPULSE STABILIZATION FOR A SYSTEM WITH AFTEREFFECT

AU - Dolgii, Yuri

N1 - This work was supported by the Russian Science Foundation (project no. 22-21-00714).

PY - 2023

Y1 - 2023

N2 - For optimal stabilization of an autonomous linear system of differential equations with aftereffect and impulse controls, the formulation of the problem in the functional state space is used. For a system with aftereffect, approximating systems of ordinary differential equations proposed by S.N. Shimanov and J. Hale are used. A method for constructing approximations for optimal stabilizing control of an autonomous linear system with aftereffect and impulse controls is proposed. Matrix Riccati equations are used to find approximating controls. © 2023, Krasovskii Institute of Mathematics and Mechanics. All rights reserved.

AB - For optimal stabilization of an autonomous linear system of differential equations with aftereffect and impulse controls, the formulation of the problem in the functional state space is used. For a system with aftereffect, approximating systems of ordinary differential equations proposed by S.N. Shimanov and J. Hale are used. A method for constructing approximations for optimal stabilizing control of an autonomous linear system with aftereffect and impulse controls is proposed. Matrix Riccati equations are used to find approximating controls. © 2023, Krasovskii Institute of Mathematics and Mechanics. All rights reserved.

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85180820494

UR - https://www.elibrary.ru/item.asp?id=59690651

U2 - 10.15826/umj.2023.2.006

DO - 10.15826/umj.2023.2.006

M3 - Article

VL - 9

SP - 77

EP - 85

JO - Ural Mathematical Journal

JF - Ural Mathematical Journal

SN - 2414-3952

IS - 2

ER -

ID: 50639874