Global Synchronization of Neutral-Type Stochastic Delayed Complex Networks

This paper is concerned with the delay-dependent synchronization criterion for neutral-type stochastic delayed complex networks. Firstly, expectations of stochastic crossterms containing the Itô integral are investigated. In fact, for stochastic delay systems, if we want to obtain the delay-dependen...

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Main Authors: Ya Zhang, Bo Song, Ju H. Park, Zheng-Guang Wu
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/631932
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author Ya Zhang
Bo Song
Ju H. Park
Zheng-Guang Wu
author_facet Ya Zhang
Bo Song
Ju H. Park
Zheng-Guang Wu
author_sort Ya Zhang
collection DOAJ
description This paper is concerned with the delay-dependent synchronization criterion for neutral-type stochastic delayed complex networks. Firstly, expectations of stochastic crossterms containing the Itô integral are investigated. In fact, for stochastic delay systems, if we want to obtain the delay-dependent condition with less conservatism, how to deal with expectations of stochastic cross terms properly is of vital importance, and many existing results did not deal with expectations of these stochastic cross terms correctly. Then, based on this, this paper establishes a novel delay-dependent synchronization criterion for neutral-type stochastic delayed complex networks. In the derivation process, the mathematical development avoids bounding stochastic cross terms. Thus, this method shows less conservatism. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed approach.
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institution Kabale University
issn 1085-3375
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language English
publishDate 2012-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-83df522bcd9c4a709f3043619e53a3002025-02-03T06:11:58ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/631932631932Global Synchronization of Neutral-Type Stochastic Delayed Complex NetworksYa Zhang0Bo Song1Ju H. Park2Zheng-Guang Wu3School of Mathematics and Physics, Xuzhou Institute of Technology, Jiangsu, Xuzhou 221000, ChinaSchool of Electrical Engineering and Automation, Jiangsu Normal University, Jiangsu, Xuzhou 221116, ChinaNonlinear Dynamics Group, Department of Electrical Engineering, Yeungnam University, 214-1 Dae-Dong, Gyeongsan 712-749, Republic of KoreaNonlinear Dynamics Group, Department of Electrical Engineering, Yeungnam University, 214-1 Dae-Dong, Gyeongsan 712-749, Republic of KoreaThis paper is concerned with the delay-dependent synchronization criterion for neutral-type stochastic delayed complex networks. Firstly, expectations of stochastic crossterms containing the Itô integral are investigated. In fact, for stochastic delay systems, if we want to obtain the delay-dependent condition with less conservatism, how to deal with expectations of stochastic cross terms properly is of vital importance, and many existing results did not deal with expectations of these stochastic cross terms correctly. Then, based on this, this paper establishes a novel delay-dependent synchronization criterion for neutral-type stochastic delayed complex networks. In the derivation process, the mathematical development avoids bounding stochastic cross terms. Thus, this method shows less conservatism. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed approach.http://dx.doi.org/10.1155/2012/631932
spellingShingle Ya Zhang
Bo Song
Ju H. Park
Zheng-Guang Wu
Global Synchronization of Neutral-Type Stochastic Delayed Complex Networks
Abstract and Applied Analysis
title Global Synchronization of Neutral-Type Stochastic Delayed Complex Networks
title_full Global Synchronization of Neutral-Type Stochastic Delayed Complex Networks
title_fullStr Global Synchronization of Neutral-Type Stochastic Delayed Complex Networks
title_full_unstemmed Global Synchronization of Neutral-Type Stochastic Delayed Complex Networks
title_short Global Synchronization of Neutral-Type Stochastic Delayed Complex Networks
title_sort global synchronization of neutral type stochastic delayed complex networks
url http://dx.doi.org/10.1155/2012/631932
work_keys_str_mv AT yazhang globalsynchronizationofneutraltypestochasticdelayedcomplexnetworks
AT bosong globalsynchronizationofneutraltypestochasticdelayedcomplexnetworks
AT juhpark globalsynchronizationofneutraltypestochasticdelayedcomplexnetworks
AT zhengguangwu globalsynchronizationofneutraltypestochasticdelayedcomplexnetworks