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...

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Main Authors:	Fakhreddin Abedi, Wah June Leong
Format:	Article
Language:	English
Published:	Hindawi Limited 2013-01-01
Series:	Abstract and Applied Analysis
Online Access:	http://dx.doi.org/10.1155/2013/695816

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spelling	doaj-aa1edb5f8dcc4a83832c7b52bc2ccd412020-11-24T21:25:11ZengHindawi LimitedAbstract 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
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Fakhreddin Abedi Wah June Leong
spellingShingle	Fakhreddin Abedi Wah June Leong On Exponential Stability of Composite Stochastic Control Systems Abstract and Applied Analysis
author_facet	Fakhreddin Abedi Wah June Leong
author_sort	Fakhreddin Abedi
title	On Exponential Stability of Composite Stochastic Control Systems
title_short	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_sort	on exponential stability of composite stochastic control systems
publisher	Hindawi Limited
series	Abstract and Applied Analysis
issn	1085-3375 1687-0409
publishDate	2013-01-01
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.
url	http://dx.doi.org/10.1155/2013/695816
work_keys_str_mv	AT fakhreddinabedi onexponentialstabilityofcompositestochasticcontrolsystems AT wahjuneleong onexponentialstabilityofcompositestochasticcontrolsystems
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On Exponential Stability of Composite Stochastic Control Systems

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