Impulsive Pinning Markovian Switching Stochastic Complex Networks with Time-Varying Delay

Impulsive Pinning Markovian Switching Stochastic Complex Networks with Time-Varying Delay

The synchronization problem of stochastic complex networks with Markovian switching and time-varying delays is investigated by using impulsive pinning control scheme. The complex network possesses noise perturbations, Markovian switching, and internal and outer time-varying delays. Sufficient condi...

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Main Authors: Chen Xu, Jingyi Wang, Jianwen Feng, Yi Zhao
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2013/461924
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spelling doaj-badabd6c35814d419d23ddb8f87595fe2020-11-24T23:49:55ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472013-01-01201310.1155/2013/461924461924Impulsive Pinning Markovian Switching Stochastic Complex Networks with Time-Varying DelayChen Xu0Jingyi Wang1Jianwen Feng2Yi Zhao3College of Information Engineering, Shenzhen University, Shenzhen 518060, ChinaCollege of Information Engineering, Shenzhen University, Shenzhen 518060, ChinaCollege of Mathematics and Computational Science, Shenzhen University, Shenzhen 518060, ChinaCollege of Mathematics and Computational Science, Shenzhen University, Shenzhen 518060, ChinaThe synchronization problem of stochastic complex networks with Markovian switching and time-varying delays is investigated by using impulsive pinning control scheme. The complex network possesses noise perturbations, Markovian switching, and internal and outer time-varying delays. Sufficient conditions for synchronization are obtained by employing the Lyapunov-Krasovskii functional method, Itö's formula, and the linear matrix inequality (LMI). Numerical examples are also given to demonstrate the validity of the theoretical results.http://dx.doi.org/10.1155/2013/461924
collection DOAJ
language English
format Article
sources DOAJ
author Chen Xu
Jingyi Wang
Jianwen Feng
Yi Zhao
spellingShingle Chen Xu
Jingyi Wang
Jianwen Feng
Yi Zhao
Impulsive Pinning Markovian Switching Stochastic Complex Networks with Time-Varying Delay
Mathematical Problems in Engineering
author_facet Chen Xu
Jingyi Wang
Jianwen Feng
Yi Zhao
author_sort Chen Xu
title Impulsive Pinning Markovian Switching Stochastic Complex Networks with Time-Varying Delay
title_short Impulsive Pinning Markovian Switching Stochastic Complex Networks with Time-Varying Delay
title_full Impulsive Pinning Markovian Switching Stochastic Complex Networks with Time-Varying Delay
title_fullStr Impulsive Pinning Markovian Switching Stochastic Complex Networks with Time-Varying Delay
title_full_unstemmed Impulsive Pinning Markovian Switching Stochastic Complex Networks with Time-Varying Delay
title_sort impulsive pinning markovian switching stochastic complex networks with time-varying delay
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2013-01-01
description The synchronization problem of stochastic complex networks with Markovian switching and time-varying delays is investigated by using impulsive pinning control scheme. The complex network possesses noise perturbations, Markovian switching, and internal and outer time-varying delays. Sufficient conditions for synchronization are obtained by employing the Lyapunov-Krasovskii functional method, Itö's formula, and the linear matrix inequality (LMI). Numerical examples are also given to demonstrate the validity of the theoretical results.
url http://dx.doi.org/10.1155/2013/461924
work_keys_str_mv AT chenxu impulsivepinningmarkovianswitchingstochasticcomplexnetworkswithtimevaryingdelay
AT jingyiwang impulsivepinningmarkovianswitchingstochasticcomplexnetworkswithtimevaryingdelay
AT jianwenfeng impulsivepinningmarkovianswitchingstochasticcomplexnetworkswithtimevaryingdelay
AT yizhao impulsivepinningmarkovianswitchingstochasticcomplexnetworkswithtimevaryingdelay
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