Mean Square Synchronization of Stochastic Nonlinear Delayed Coupled Complex Networks
We investigate the problem of adaptive mean square synchronization for nonlinear delayed coupled complex networks with stochastic perturbation. Based on the LaSalle invariance principle and the properties of the Weiner process, the controller and adaptive laws are designed to ensure achieving stocha...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/914140 |
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| _version_ | 1832545704614035456 |
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| author | Chengrong Xie Yuhua Xu Dongbing Tong |
| author_facet | Chengrong Xie Yuhua Xu Dongbing Tong |
| author_sort | Chengrong Xie |
| collection | DOAJ |
| description | We investigate the problem of adaptive mean square synchronization for nonlinear delayed coupled complex networks with stochastic perturbation. Based on the LaSalle invariance principle and the properties of the Weiner process, the controller and adaptive laws are designed to ensure achieving stochastic synchronization and topology identification of complex networks. Sufficient conditions are given to ensure the complex networks to be mean square synchronization. Furthermore, numerical simulations are also given to demonstrate the effectiveness of the proposed scheme. |
| format | Article |
| id | doaj-art-3648b67e7548432ba91ce4205568fc12 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-3648b67e7548432ba91ce4205568fc122025-02-03T07:24:59ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/914140914140Mean Square Synchronization of Stochastic Nonlinear Delayed Coupled Complex NetworksChengrong Xie0Yuhua Xu1Dongbing Tong2Department of Mathematics and Finance, Yunyang Teachers’ College, Hubei 442000, ChinaDepartment of Mathematics and Finance, Yunyang Teachers’ College, Hubei 442000, ChinaCollege of Information Science and Technology, Donghua University, Shanghai 201620, ChinaWe investigate the problem of adaptive mean square synchronization for nonlinear delayed coupled complex networks with stochastic perturbation. Based on the LaSalle invariance principle and the properties of the Weiner process, the controller and adaptive laws are designed to ensure achieving stochastic synchronization and topology identification of complex networks. Sufficient conditions are given to ensure the complex networks to be mean square synchronization. Furthermore, numerical simulations are also given to demonstrate the effectiveness of the proposed scheme.http://dx.doi.org/10.1155/2013/914140 |
| spellingShingle | Chengrong Xie Yuhua Xu Dongbing Tong Mean Square Synchronization of Stochastic Nonlinear Delayed Coupled Complex Networks Discrete Dynamics in Nature and Society |
| title | Mean Square Synchronization of Stochastic Nonlinear Delayed Coupled Complex Networks |
| title_full | Mean Square Synchronization of Stochastic Nonlinear Delayed Coupled Complex Networks |
| title_fullStr | Mean Square Synchronization of Stochastic Nonlinear Delayed Coupled Complex Networks |
| title_full_unstemmed | Mean Square Synchronization of Stochastic Nonlinear Delayed Coupled Complex Networks |
| title_short | Mean Square Synchronization of Stochastic Nonlinear Delayed Coupled Complex Networks |
| title_sort | mean square synchronization of stochastic nonlinear delayed coupled complex networks |
| url | http://dx.doi.org/10.1155/2013/914140 |
| work_keys_str_mv | AT chengrongxie meansquaresynchronizationofstochasticnonlineardelayedcoupledcomplexnetworks AT yuhuaxu meansquaresynchronizationofstochasticnonlineardelayedcoupledcomplexnetworks AT dongbingtong meansquaresynchronizationofstochasticnonlineardelayedcoupledcomplexnetworks |