METHODS FOR STUDYING THE STABILITY AND STABILIZATION OF SOME SYSTEMS WITH LARGE DELAY
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
METHODS FOR STUDYING THE STABILITY AND STABILIZATION OF SOME SYSTEMS WITH LARGE DELAY
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| Автор |
Grebenshchikov, B. G.
Lozhnikov, A. B. |
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| Тематика |
DELAY
STABILITY STABILIZATION |
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| Описание |
The article is devoted to the study of the properties of systems of differential equations containing a large (in particular, linear) delay. Systems with linear delay have a fairly wide application in biology, in particular, in modelling the distribution of cells in body tissues, as well as in the theory of neural networks. Equations of this type are also found in problems of physics and mechanics, where an important point is the asymptotic behavior of the solution (in particular, the asymptotic stability). When such systems are unstable, the problem of stabilization arises. The optimal stabilization algorithm is based on an union of stabilization of systems of ordinary differential equations and further difference systems. This algorithm is quite simply implemented using numerical methods for solving systems of differential equations with a delay and solving matrix equations. We developed a program that allows quite effectively find a control effect that stabilizes some systems. © 2022 South Ural State University. All rights reserved.
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| Дата |
2024-04-08T11:07:42Z
2024-04-08T11:07:42Z 2022 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) Published version (info:eu-repo/semantics/publishedVersion) |
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| Идентификатор |
Grebenshchikov, BG & Lozhnikov, AB 2022, 'МЕТОДЫ ИССЛЕДОВАНИЯ УСТОЙЧИВОСТИ И СТАБИЛИЗАЦИИ НЕКОТОРЫХ СИСТЕМ С БОЛЬШИМ ЗАПАЗДЫВАНИЕМ', Bulletin of the South Ural State University, Series: Mathematical Modelling, Programming and Computer Software, Том. 15, № 4, стр. 99-108. https://doi.org/10.14529/mmp220409
Grebenshchikov, B. G., & Lozhnikov, A. B. (2022). МЕТОДЫ ИССЛЕДОВАНИЯ УСТОЙЧИВОСТИ И СТАБИЛИЗАЦИИ НЕКОТОРЫХ СИСТЕМ С БОЛЬШИМ ЗАПАЗДЫВАНИЕМ. Bulletin of the South Ural State University, Series: Mathematical Modelling, Programming and Computer Software, 15(4), 99-108. https://doi.org/10.14529/mmp220409 2071-0216 Final All Open Access; Bronze Open Access https://doi.org/10.14529/mmp220409 https://doi.org/10.14529/mmp220409 http://elar.urfu.ru/handle/10995/131502 50282208 10.14529/mmp220409 85143058060 000915391900009 |
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| Язык |
ru
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| Права |
Open access (info:eu-repo/semantics/openAccess)
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| Формат |
application/pdf
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| Издатель |
South Ural State University
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| Источник |
Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software"
Bulletin of the South Ural State University, Series: Mathematical Modelling, Programming and Computer Software |
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