Stabilization of third-order differential equation by delay distributed feedback control

There are almost no results in mathematical literature on the exponential stability of third-order delay differential equations. One of the main purposes of the paper is to fill this gap. We propose an approach to the study of stability for third-order delay differential equations. On the basis of t...

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Autores principales: Domoshnitsky, Alexander, Shemesh, Shirel, Sitkin, Alexander, Yakovi, Ester, Yavich, Roman
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6290688/
https://www.ncbi.nlm.nih.gov/pubmed/30839906
http://dx.doi.org/10.1186/s13660-018-1930-5
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author Domoshnitsky, Alexander
Shemesh, Shirel
Sitkin, Alexander
Yakovi, Ester
Yavich, Roman
author_facet Domoshnitsky, Alexander
Shemesh, Shirel
Sitkin, Alexander
Yakovi, Ester
Yavich, Roman
author_sort Domoshnitsky, Alexander
collection PubMed
description There are almost no results in mathematical literature on the exponential stability of third-order delay differential equations. One of the main purposes of the paper is to fill this gap. We propose an approach to the study of stability for third-order delay differential equations. On the basis of these results, new possibilities of stabilization by delay feedback input control are proposed.
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spelling pubmed-62906882018-12-27 Stabilization of third-order differential equation by delay distributed feedback control Domoshnitsky, Alexander Shemesh, Shirel Sitkin, Alexander Yakovi, Ester Yavich, Roman J Inequal Appl Research There are almost no results in mathematical literature on the exponential stability of third-order delay differential equations. One of the main purposes of the paper is to fill this gap. We propose an approach to the study of stability for third-order delay differential equations. On the basis of these results, new possibilities of stabilization by delay feedback input control are proposed. Springer International Publishing 2018-12-12 2018 /pmc/articles/PMC6290688/ /pubmed/30839906 http://dx.doi.org/10.1186/s13660-018-1930-5 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Domoshnitsky, Alexander
Shemesh, Shirel
Sitkin, Alexander
Yakovi, Ester
Yavich, Roman
Stabilization of third-order differential equation by delay distributed feedback control
title Stabilization of third-order differential equation by delay distributed feedback control
title_full Stabilization of third-order differential equation by delay distributed feedback control
title_fullStr Stabilization of third-order differential equation by delay distributed feedback control
title_full_unstemmed Stabilization of third-order differential equation by delay distributed feedback control
title_short Stabilization of third-order differential equation by delay distributed feedback control
title_sort stabilization of third-order differential equation by delay distributed feedback control
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6290688/
https://www.ncbi.nlm.nih.gov/pubmed/30839906
http://dx.doi.org/10.1186/s13660-018-1930-5
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AT yakoviester stabilizationofthirdorderdifferentialequationbydelaydistributedfeedbackcontrol
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