W-transform for exponential stability of second order delay differential equations without damping terms

In this paper a method for studying stability of the equation [Formula: see text] not including explicitly the first derivative is proposed. We demonstrate that although the corresponding ordinary differential equation [Formula: see text] is not exponentially stable, the delay equation can be expone...

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Detalles Bibliográficos
Autores principales: Domoshnitsky, Alexander, Maghakyan, Abraham, Berezansky, Leonid
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5242426/
https://www.ncbi.nlm.nih.gov/pubmed/28163545
http://dx.doi.org/10.1186/s13660-017-1296-0
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author Domoshnitsky, Alexander
Maghakyan, Abraham
Berezansky, Leonid
author_facet Domoshnitsky, Alexander
Maghakyan, Abraham
Berezansky, Leonid
author_sort Domoshnitsky, Alexander
collection PubMed
description In this paper a method for studying stability of the equation [Formula: see text] not including explicitly the first derivative is proposed. We demonstrate that although the corresponding ordinary differential equation [Formula: see text] is not exponentially stable, the delay equation can be exponentially stable.
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spelling pubmed-52424262017-02-01 W-transform for exponential stability of second order delay differential equations without damping terms Domoshnitsky, Alexander Maghakyan, Abraham Berezansky, Leonid J Inequal Appl Research In this paper a method for studying stability of the equation [Formula: see text] not including explicitly the first derivative is proposed. We demonstrate that although the corresponding ordinary differential equation [Formula: see text] is not exponentially stable, the delay equation can be exponentially stable. Springer International Publishing 2017-01-17 2017 /pmc/articles/PMC5242426/ /pubmed/28163545 http://dx.doi.org/10.1186/s13660-017-1296-0 Text en © The Author(s) 2017 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
Maghakyan, Abraham
Berezansky, Leonid
W-transform for exponential stability of second order delay differential equations without damping terms
title W-transform for exponential stability of second order delay differential equations without damping terms
title_full W-transform for exponential stability of second order delay differential equations without damping terms
title_fullStr W-transform for exponential stability of second order delay differential equations without damping terms
title_full_unstemmed W-transform for exponential stability of second order delay differential equations without damping terms
title_short W-transform for exponential stability of second order delay differential equations without damping terms
title_sort w-transform for exponential stability of second order delay differential equations without damping terms
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5242426/
https://www.ncbi.nlm.nih.gov/pubmed/28163545
http://dx.doi.org/10.1186/s13660-017-1296-0
work_keys_str_mv AT domoshnitskyalexander wtransformforexponentialstabilityofsecondorderdelaydifferentialequationswithoutdampingterms
AT maghakyanabraham wtransformforexponentialstabilityofsecondorderdelaydifferentialequationswithoutdampingterms
AT berezanskyleonid wtransformforexponentialstabilityofsecondorderdelaydifferentialequationswithoutdampingterms

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