Boundary Criteria for the Stability of Delay Differential-Algebraic Equations

This paper is concerned with the asymptotic stability of delay differential-algebraic equations. Two stability criteria described by evaluating a corresponding harmonic analytical function on the boundary of a certain region are presented. Stability regions are also presented so as to show the metho...

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Main Authors: Leping Sun, Yuhao Cong
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2015/768345
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spelling doaj-9bd428fd2a00428e9dc9edf45d8b7f7e2020-11-24T21:02:53ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/768345768345Boundary Criteria for the Stability of Delay Differential-Algebraic EquationsLeping Sun0Yuhao Cong1College of Mathematics and Sciences, Shanghai Normal University, Shanghai 200234, ChinaCollege of Mathematics and Sciences, Shanghai Normal University, Shanghai 200234, ChinaThis paper is concerned with the asymptotic stability of delay differential-algebraic equations. Two stability criteria described by evaluating a corresponding harmonic analytical function on the boundary of a certain region are presented. Stability regions are also presented so as to show the method geometrically. Our results are not reported.http://dx.doi.org/10.1155/2015/768345
collection DOAJ
language English
format Article
sources DOAJ
author Leping Sun
Yuhao Cong
spellingShingle Leping Sun
Yuhao Cong
Boundary Criteria for the Stability of Delay Differential-Algebraic Equations
Abstract and Applied Analysis
author_facet Leping Sun
Yuhao Cong
author_sort Leping Sun
title Boundary Criteria for the Stability of Delay Differential-Algebraic Equations
title_short Boundary Criteria for the Stability of Delay Differential-Algebraic Equations
title_full Boundary Criteria for the Stability of Delay Differential-Algebraic Equations
title_fullStr Boundary Criteria for the Stability of Delay Differential-Algebraic Equations
title_full_unstemmed Boundary Criteria for the Stability of Delay Differential-Algebraic Equations
title_sort boundary criteria for the stability of delay differential-algebraic equations
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2015-01-01
description This paper is concerned with the asymptotic stability of delay differential-algebraic equations. Two stability criteria described by evaluating a corresponding harmonic analytical function on the boundary of a certain region are presented. Stability regions are also presented so as to show the method geometrically. Our results are not reported.
url http://dx.doi.org/10.1155/2015/768345
work_keys_str_mv AT lepingsun boundarycriteriaforthestabilityofdelaydifferentialalgebraicequations
AT yuhaocong boundarycriteriaforthestabilityofdelaydifferentialalgebraicequations
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