Cluster Synchronization of Stochastic Complex Networks with Markovian Switching and Time-Varying Delay via Impulsive Pinning Control
This paper studies the cluster synchronization of a kind of complex networks by means of impulsive pinning control scheme. These networks are subject to stochastic noise perturbations and Markovian switching, as well as internal and outer time-varying delays. Using the Lyapunov-Krasovskii functional...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2014/835867 |
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| _version_ | 1832551072202227712 |
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| author | Xuan Zhou Kui Luo |
| author_facet | Xuan Zhou Kui Luo |
| author_sort | Xuan Zhou |
| collection | DOAJ |
| description | This paper studies the cluster synchronization of a kind of complex networks by means of impulsive pinning control scheme. These networks are subject to stochastic noise perturbations and Markovian switching, as well as internal and outer time-varying delays. Using the Lyapunov-Krasovskii functional, Itö’s formula, and some linear matrix inequalities (LMI), several novel sufficient conditions are obtained to guarantee the desired cluster synchronization. At the end of this writing, a numerical simulation is given to demonstrate the effectiveness of those theoretical results. |
| format | Article |
| id | doaj-art-b736fa1e7950466595aca5cd27c2a1a5 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-b736fa1e7950466595aca5cd27c2a1a52025-02-03T06:05:05ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/835867835867Cluster Synchronization of Stochastic Complex Networks with Markovian Switching and Time-Varying Delay via Impulsive Pinning ControlXuan Zhou0Kui Luo1Industrial Training Center, Shenzhen Polytechnic, Shenzhen 518000, ChinaIndustrial Training Center, Shenzhen Polytechnic, Shenzhen 518000, ChinaThis paper studies the cluster synchronization of a kind of complex networks by means of impulsive pinning control scheme. These networks are subject to stochastic noise perturbations and Markovian switching, as well as internal and outer time-varying delays. Using the Lyapunov-Krasovskii functional, Itö’s formula, and some linear matrix inequalities (LMI), several novel sufficient conditions are obtained to guarantee the desired cluster synchronization. At the end of this writing, a numerical simulation is given to demonstrate the effectiveness of those theoretical results.http://dx.doi.org/10.1155/2014/835867 |
| spellingShingle | Xuan Zhou Kui Luo Cluster Synchronization of Stochastic Complex Networks with Markovian Switching and Time-Varying Delay via Impulsive Pinning Control Discrete Dynamics in Nature and Society |
| title | Cluster Synchronization of Stochastic Complex Networks with Markovian Switching and Time-Varying Delay via Impulsive Pinning Control |
| title_full | Cluster Synchronization of Stochastic Complex Networks with Markovian Switching and Time-Varying Delay via Impulsive Pinning Control |
| title_fullStr | Cluster Synchronization of Stochastic Complex Networks with Markovian Switching and Time-Varying Delay via Impulsive Pinning Control |
| title_full_unstemmed | Cluster Synchronization of Stochastic Complex Networks with Markovian Switching and Time-Varying Delay via Impulsive Pinning Control |
| title_short | Cluster Synchronization of Stochastic Complex Networks with Markovian Switching and Time-Varying Delay via Impulsive Pinning Control |
| title_sort | cluster synchronization of stochastic complex networks with markovian switching and time varying delay via impulsive pinning control |
| url | http://dx.doi.org/10.1155/2014/835867 |
| work_keys_str_mv | AT xuanzhou clustersynchronizationofstochasticcomplexnetworkswithmarkovianswitchingandtimevaryingdelayviaimpulsivepinningcontrol AT kuiluo clustersynchronizationofstochasticcomplexnetworkswithmarkovianswitchingandtimevaryingdelayviaimpulsivepinningcontrol |