Synchronization Control for Stochastic Neural Networks with Mixed Time-Varying Delays
Synchronization control of stochastic neural networks with time-varying discrete and continuous delays has been investigated. A novel control scheme is proposed using the Lyapunov functional method and linear matrix inequality (LMI) approach. Sufficient conditions have been derived to ensure the glo...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/840185 |
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| _version_ | 1832550312926248960 |
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| author | Qing Zhu Aiguo Song Shumin Fei Yuequan Yang Zhiqiang Cao |
| author_facet | Qing Zhu Aiguo Song Shumin Fei Yuequan Yang Zhiqiang Cao |
| author_sort | Qing Zhu |
| collection | DOAJ |
| description | Synchronization control of stochastic neural networks with time-varying discrete and continuous delays has been investigated. A novel control scheme is proposed using the Lyapunov functional method and linear matrix inequality (LMI) approach. Sufficient conditions have been derived to ensure the global asymptotical mean-square stability for the error system, and thus the drive system synchronizes with the response system. Also, the control gain matrix can be obtained. With these effective methods, synchronization can be achieved. Simulation results are presented to show the effectiveness of the theoretical results. |
| format | Article |
| id | doaj-art-e34fda43cd4d40b197ac78e8c2bd6937 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-e34fda43cd4d40b197ac78e8c2bd69372025-02-03T06:07:07ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/840185840185Synchronization Control for Stochastic Neural Networks with Mixed Time-Varying DelaysQing Zhu0Aiguo Song1Shumin Fei2Yuequan Yang3Zhiqiang Cao4School of Instrument Science, Southeast University, Nanjing 210096, ChinaSchool of Instrument Science, Southeast University, Nanjing 210096, ChinaSchool of Automation, Southeast University, Nanjing 210096, ChinaCollege of Information Engineering, Yangzhou University, Yangzhou 225009, ChinaInstitute of Automation, Chinese Academy of Science, Beijing 100190, ChinaSynchronization control of stochastic neural networks with time-varying discrete and continuous delays has been investigated. A novel control scheme is proposed using the Lyapunov functional method and linear matrix inequality (LMI) approach. Sufficient conditions have been derived to ensure the global asymptotical mean-square stability for the error system, and thus the drive system synchronizes with the response system. Also, the control gain matrix can be obtained. With these effective methods, synchronization can be achieved. Simulation results are presented to show the effectiveness of the theoretical results.http://dx.doi.org/10.1155/2014/840185 |
| spellingShingle | Qing Zhu Aiguo Song Shumin Fei Yuequan Yang Zhiqiang Cao Synchronization Control for Stochastic Neural Networks with Mixed Time-Varying Delays The Scientific World Journal |
| title | Synchronization Control for Stochastic Neural Networks with Mixed Time-Varying Delays |
| title_full | Synchronization Control for Stochastic Neural Networks with Mixed Time-Varying Delays |
| title_fullStr | Synchronization Control for Stochastic Neural Networks with Mixed Time-Varying Delays |
| title_full_unstemmed | Synchronization Control for Stochastic Neural Networks with Mixed Time-Varying Delays |
| title_short | Synchronization Control for Stochastic Neural Networks with Mixed Time-Varying Delays |
| title_sort | synchronization control for stochastic neural networks with mixed time varying delays |
| url | http://dx.doi.org/10.1155/2014/840185 |
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