On Exponential Stability of Composite Stochastic Control Systems

New results for exponential stability in probability of a composite stochastic control system are established. The main results of this paper enable us to derive sufficient conditions for exponential stability in -th mean and almost sure exponential stability in probability of composite stochastic c...

Full description

Saved in:
Bibliographic Details
Main Authors: Fakhreddin Abedi, Wah June Leong
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/695816
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832558747743944704
author Fakhreddin Abedi
Wah June Leong
author_facet Fakhreddin Abedi
Wah June Leong
author_sort Fakhreddin Abedi
collection DOAJ
description New results for exponential stability in probability of a composite stochastic control system are established. The main results of this paper enable us to derive sufficient conditions for exponential stability in -th mean and almost sure exponential stability in probability of composite stochastic control system. Two numerical examples are given to illustrate the results.
format Article
id doaj-art-aa1edb5f8dcc4a83832c7b52bc2ccd41
institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-aa1edb5f8dcc4a83832c7b52bc2ccd412025-02-03T01:31:37ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/695816695816On Exponential Stability of Composite Stochastic Control SystemsFakhreddin Abedi0Wah June Leong1Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, UPM, 43400 Serdang, Selangor, MalaysiaDepartment of Mathematics, Faculty of Science, Universiti Putra Malaysia, UPM, 43400 Serdang, Selangor, MalaysiaNew results for exponential stability in probability of a composite stochastic control system are established. The main results of this paper enable us to derive sufficient conditions for exponential stability in -th mean and almost sure exponential stability in probability of composite stochastic control system. Two numerical examples are given to illustrate the results.http://dx.doi.org/10.1155/2013/695816
spellingShingle Fakhreddin Abedi
Wah June Leong
On Exponential Stability of Composite Stochastic Control Systems
Abstract and Applied Analysis
title On Exponential Stability of Composite Stochastic Control Systems
title_full On Exponential Stability of Composite Stochastic Control Systems
title_fullStr On Exponential Stability of Composite Stochastic Control Systems
title_full_unstemmed On Exponential Stability of Composite Stochastic Control Systems
title_short On Exponential Stability of Composite Stochastic Control Systems
title_sort on exponential stability of composite stochastic control systems
url http://dx.doi.org/10.1155/2013/695816
work_keys_str_mv AT fakhreddinabedi onexponentialstabilityofcompositestochasticcontrolsystems
AT wahjuneleong onexponentialstabilityofcompositestochasticcontrolsystems