Exponential Synchronization for Stochastic Neural Networks with Mixed Time Delays and Markovian Jump Parameters via Sampled Data
The exponential synchronization issue for stochastic neural networks (SNNs) with mixed time delays and Markovian jump parameters using sampled-data controller is investigated. Based on a novel Lyapunov-Krasovskii functional, stochastic analysis theory, and linear matrix inequality (LMI) approach, we...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/505164 |
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| _version_ | 1850165741430505472 |
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| author | Yingwei Li Xueqing Guo |
| author_facet | Yingwei Li Xueqing Guo |
| author_sort | Yingwei Li |
| collection | DOAJ |
| description | The exponential synchronization issue for stochastic neural networks (SNNs) with mixed time delays and Markovian jump parameters using sampled-data controller is investigated. Based on a novel Lyapunov-Krasovskii functional, stochastic analysis theory, and linear matrix inequality (LMI) approach, we derived some novel sufficient conditions that guarantee that the master systems exponentially synchronize with the slave systems. The design method of the desired sampled-data controller is also proposed. To reflect the most dynamical behaviors of the system, both Markovian jump parameters and stochastic disturbance are considered, where stochastic disturbances are given in the form of a Brownian motion. The results obtained in this paper are a little conservative comparing the previous results in the literature. Finally, two numerical examples are given to illustrate the effectiveness of the proposed methods. |
| format | Article |
| id | doaj-art-e88d19093ad24cc58d23a248ffb890fc |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e88d19093ad24cc58d23a248ffb890fc2025-08-20T02:21:38ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/505164505164Exponential Synchronization for Stochastic Neural Networks with Mixed Time Delays and Markovian Jump Parameters via Sampled DataYingwei Li0Xueqing Guo1School of Information Science and Engineering, Yanshan University, Qinhuangdao 066004, ChinaDepartment of Applied Mathematics, Yanshan University, Qinhuangdao 066004, ChinaThe exponential synchronization issue for stochastic neural networks (SNNs) with mixed time delays and Markovian jump parameters using sampled-data controller is investigated. Based on a novel Lyapunov-Krasovskii functional, stochastic analysis theory, and linear matrix inequality (LMI) approach, we derived some novel sufficient conditions that guarantee that the master systems exponentially synchronize with the slave systems. The design method of the desired sampled-data controller is also proposed. To reflect the most dynamical behaviors of the system, both Markovian jump parameters and stochastic disturbance are considered, where stochastic disturbances are given in the form of a Brownian motion. The results obtained in this paper are a little conservative comparing the previous results in the literature. Finally, two numerical examples are given to illustrate the effectiveness of the proposed methods.http://dx.doi.org/10.1155/2014/505164 |
| spellingShingle | Yingwei Li Xueqing Guo Exponential Synchronization for Stochastic Neural Networks with Mixed Time Delays and Markovian Jump Parameters via Sampled Data Abstract and Applied Analysis |
| title | Exponential Synchronization for Stochastic Neural Networks with Mixed Time Delays and Markovian Jump Parameters via Sampled Data |
| title_full | Exponential Synchronization for Stochastic Neural Networks with Mixed Time Delays and Markovian Jump Parameters via Sampled Data |
| title_fullStr | Exponential Synchronization for Stochastic Neural Networks with Mixed Time Delays and Markovian Jump Parameters via Sampled Data |
| title_full_unstemmed | Exponential Synchronization for Stochastic Neural Networks with Mixed Time Delays and Markovian Jump Parameters via Sampled Data |
| title_short | Exponential Synchronization for Stochastic Neural Networks with Mixed Time Delays and Markovian Jump Parameters via Sampled Data |
| title_sort | exponential synchronization for stochastic neural networks with mixed time delays and markovian jump parameters via sampled data |
| url | http://dx.doi.org/10.1155/2014/505164 |
| work_keys_str_mv | AT yingweili exponentialsynchronizationforstochasticneuralnetworkswithmixedtimedelaysandmarkovianjumpparametersviasampleddata AT xueqingguo exponentialsynchronizationforstochasticneuralnetworkswithmixedtimedelaysandmarkovianjumpparametersviasampleddata |