Stability analysis of a type of stochastic integro-differential interval system

We discuss a type of stochastic integro-differential interval system in this paper. We firstly prove that the solution of this system exists and is unique, and then we give a sufficient criterion to show the exponential stability property for such system. Finally, we generalize these results to mult...

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Main Authors: Qiao, X, Zhang, Y., Xie, R, xu, Honglei
Other Authors: Honglei Xu
Format: Conference Paper
Published: COC Publications 2012
Subjects:
Online Access:http://science.cup.edu.cn/uploadfile/2012122500435873499.pdf
http://hdl.handle.net/20.500.11937/43371
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author Qiao, X
Zhang, Y.
Xie, R
xu, Honglei
author2 Honglei Xu
author_facet Honglei Xu
Qiao, X
Zhang, Y.
Xie, R
xu, Honglei
author_sort Qiao, X
building Curtin Institutional Repository
collection Online Access
description We discuss a type of stochastic integro-differential interval system in this paper. We firstly prove that the solution of this system exists and is unique, and then we give a sufficient criterion to show the exponential stability property for such system. Finally, we generalize these results to multiple time delays cases.
first_indexed 2025-11-14T09:15:56Z
format Conference Paper
id curtin-20.500.11937-43371
institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T09:15:56Z
publishDate 2012
publisher COC Publications
recordtype eprints
repository_type Digital Repository
spelling curtin-20.500.11937-433712023-02-07T08:01:21Z Stability analysis of a type of stochastic integro-differential interval system Qiao, X Zhang, Y. Xie, R xu, Honglei Honglei Xu Xinmin Yang Yi Zhang exponential stability stochastic integro-differential interval system Ito’s - formula Brownian motion We discuss a type of stochastic integro-differential interval system in this paper. We firstly prove that the solution of this system exists and is unique, and then we give a sufficient criterion to show the exponential stability property for such system. Finally, we generalize these results to multiple time delays cases. 2012 Conference Paper http://hdl.handle.net/20.500.11937/43371 http://science.cup.edu.cn/uploadfile/2012122500435873499.pdf COC Publications restricted
spellingShingle exponential stability
stochastic integro-differential interval system
Ito’s - formula
Brownian motion
Qiao, X
Zhang, Y.
Xie, R
xu, Honglei
Stability analysis of a type of stochastic integro-differential interval system
title Stability analysis of a type of stochastic integro-differential interval system
title_full Stability analysis of a type of stochastic integro-differential interval system
title_fullStr Stability analysis of a type of stochastic integro-differential interval system
title_full_unstemmed Stability analysis of a type of stochastic integro-differential interval system
title_short Stability analysis of a type of stochastic integro-differential interval system
title_sort stability analysis of a type of stochastic integro-differential interval system
topic exponential stability
stochastic integro-differential interval system
Ito’s - formula
Brownian motion
url http://science.cup.edu.cn/uploadfile/2012122500435873499.pdf
http://hdl.handle.net/20.500.11937/43371