Robust Exponential Stabilization of Stochastic Delay Interval Recurrent Neural Networks with Distributed Parameters and Markovian Jumping by Using Periodically Intermittent Control
We consider a class of stochastic delay recurrent neural networks with distributed parameters and Markovian jumping. It is assumed that the coefficients in these neural networks belong to the interval matrices. Several sufficient conditions ensuring robust exponential stabilization are derived by us...
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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/10.1155/2014/842976 |
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| _version_ | 1832559471994339328 |
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| author | Junhao Hu Yunjian Peng Yan Li |
| author_facet | Junhao Hu Yunjian Peng Yan Li |
| author_sort | Junhao Hu |
| collection | DOAJ |
| description | We consider a class of stochastic delay recurrent neural networks with
distributed parameters and Markovian jumping. It is assumed that the coefficients in
these neural networks belong to the interval matrices. Several sufficient conditions
ensuring robust exponential stabilization are derived by using periodically intermittent control and Lyapunov functional. The obtained results are very easy to verify
and implement, and improve the existing results. Finally, an example with numerical
simulations is given to illustrate the presented criteria. |
| format | Article |
| id | doaj-art-1f6c5f7b06ec4425b3e5569a60f98392 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-1f6c5f7b06ec4425b3e5569a60f983922025-02-03T01:29:55ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/842976842976Robust Exponential Stabilization of Stochastic Delay Interval Recurrent Neural Networks with Distributed Parameters and Markovian Jumping by Using Periodically Intermittent ControlJunhao Hu0Yunjian Peng1Yan Li2College of Mathematics and Statistics, South Central University for Nationalities, Wuhan 430074, ChinaSchool of Automation Science and Engineering, South China University of Technology, Guangzhou 510641, ChinaCollege of Automation, Huazhong University of Science and Technology, Wuhan 430074, ChinaWe consider a class of stochastic delay recurrent neural networks with distributed parameters and Markovian jumping. It is assumed that the coefficients in these neural networks belong to the interval matrices. Several sufficient conditions ensuring robust exponential stabilization are derived by using periodically intermittent control and Lyapunov functional. The obtained results are very easy to verify and implement, and improve the existing results. Finally, an example with numerical simulations is given to illustrate the presented criteria.http://dx.doi.org/10.1155/2014/842976 |
| spellingShingle | Junhao Hu Yunjian Peng Yan Li Robust Exponential Stabilization of Stochastic Delay Interval Recurrent Neural Networks with Distributed Parameters and Markovian Jumping by Using Periodically Intermittent Control Abstract and Applied Analysis |
| title | Robust Exponential Stabilization of Stochastic Delay Interval Recurrent Neural Networks with Distributed Parameters and Markovian Jumping by Using Periodically Intermittent Control |
| title_full | Robust Exponential Stabilization of Stochastic Delay Interval Recurrent Neural Networks with Distributed Parameters and Markovian Jumping by Using Periodically Intermittent Control |
| title_fullStr | Robust Exponential Stabilization of Stochastic Delay Interval Recurrent Neural Networks with Distributed Parameters and Markovian Jumping by Using Periodically Intermittent Control |
| title_full_unstemmed | Robust Exponential Stabilization of Stochastic Delay Interval Recurrent Neural Networks with Distributed Parameters and Markovian Jumping by Using Periodically Intermittent Control |
| title_short | Robust Exponential Stabilization of Stochastic Delay Interval Recurrent Neural Networks with Distributed Parameters and Markovian Jumping by Using Periodically Intermittent Control |
| title_sort | robust exponential stabilization of stochastic delay interval recurrent neural networks with distributed parameters and markovian jumping by using periodically intermittent control |
| url | http://dx.doi.org/10.1155/2014/842976 |
| work_keys_str_mv | AT junhaohu robustexponentialstabilizationofstochasticdelayintervalrecurrentneuralnetworkswithdistributedparametersandmarkovianjumpingbyusingperiodicallyintermittentcontrol AT yunjianpeng robustexponentialstabilizationofstochasticdelayintervalrecurrentneuralnetworkswithdistributedparametersandmarkovianjumpingbyusingperiodicallyintermittentcontrol AT yanli robustexponentialstabilizationofstochasticdelayintervalrecurrentneuralnetworkswithdistributedparametersandmarkovianjumpingbyusingperiodicallyintermittentcontrol |