Stability Conditions of a Class of Linear Retarded Differential Systems

Stability Conditions of a Class of Linear Retarded Differential Systems

Show other versions (1)

In this paper, we give some new necessary and sufficient conditions for the asymptotic stability of a linear retarded differential system with two delays<br /><span> </span>x′(t)+(1-a)x(t)+A(x(t-k)+x(t-l))=0, t≥0,<br />where a&lt;1 is a real number, A is a 2×2 real consta...

Full description

Bibliographic Details
Main Authors: Serbun Ufuk Deger, Yasar Bolat
Format: Article
Language:English
Published: Etamaths Publishing 2018-07-01
Series:International Journal of Analysis and Applications
Online Access:http://etamaths.com/index.php/ijaa/article/view/1724
id doaj-21a881d2ebb445cdaa9b971ac422a334
record_format Article
spelling doaj-21a881d2ebb445cdaa9b971ac422a3342021-08-26T13:44:38ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392018-07-01164454461317Stability Conditions of a Class of Linear Retarded Differential SystemsSerbun Ufuk DegerYasar BolatIn this paper, we give some new necessary and sufficient conditions for the asymptotic stability of a linear retarded differential system with two delays<br /><span> </span>x′(t)+(1-a)x(t)+A(x(t-k)+x(t-l))=0, t≥0,<br />where a&lt;1 is a real number, A is a 2×2 real constant matrix, and k, l are positive numbers such that k&gt;l.http://etamaths.com/index.php/ijaa/article/view/1724
collection DOAJ
language English
format Article
sources DOAJ
author Serbun Ufuk Deger
Yasar Bolat
spellingShingle Serbun Ufuk Deger
Yasar Bolat
Stability Conditions of a Class of Linear Retarded Differential Systems
International Journal of Analysis and Applications
author_facet Serbun Ufuk Deger
Yasar Bolat
author_sort Serbun Ufuk Deger
title Stability Conditions of a Class of Linear Retarded Differential Systems
title_short Stability Conditions of a Class of Linear Retarded Differential Systems
title_full Stability Conditions of a Class of Linear Retarded Differential Systems
title_fullStr Stability Conditions of a Class of Linear Retarded Differential Systems
title_full_unstemmed Stability Conditions of a Class of Linear Retarded Differential Systems
title_sort stability conditions of a class of linear retarded differential systems
publisher Etamaths Publishing
series International Journal of Analysis and Applications
issn 2291-8639
publishDate 2018-07-01
description In this paper, we give some new necessary and sufficient conditions for the asymptotic stability of a linear retarded differential system with two delays<br /><span> </span>x′(t)+(1-a)x(t)+A(x(t-k)+x(t-l))=0, t≥0,<br />where a&lt;1 is a real number, A is a 2×2 real constant matrix, and k, l are positive numbers such that k&gt;l.
url http://etamaths.com/index.php/ijaa/article/view/1724
work_keys_str_mv AT serbunufukdeger stabilityconditionsofaclassoflinearretardeddifferentialsystems
AT yasarbolat stabilityconditionsofaclassoflinearretardeddifferentialsystems
_version_ 1721193448358281216

Similar Items