Existence and Stability of Almost Periodic Solution for a Stochastic Cellular Neural Network with External Perturbation
A class of stochastic cellular neural networks with external perturbation is investigated. By employing fixed points principle and some stochastic analysis techniques, we establish some sufficient conditions for existence and exponential stability of a quadratic mean almost periodic solution of the...
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| Main Authors: | , , |
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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/10.1155/2014/905415 |
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| _version_ | 1832559206250577920 |
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| author | Hui Zhou Zongfu Zhou Wei Jiang |
| author_facet | Hui Zhou Zongfu Zhou Wei Jiang |
| author_sort | Hui Zhou |
| collection | DOAJ |
| description | A class of stochastic cellular neural networks with external perturbation is investigated. By employing fixed points principle and some stochastic analysis techniques, we establish some sufficient conditions for existence and exponential stability of a quadratic mean almost periodic solution of the model. The new criteria not only improve some classical results but also are applied in real problems due to the changes of external input. |
| format | Article |
| id | doaj-art-51ebb0f7d4f843ff9ea01672fdb42404 |
| 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-51ebb0f7d4f843ff9ea01672fdb424042025-02-03T01:30:35ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/905415905415Existence and Stability of Almost Periodic Solution for a Stochastic Cellular Neural Network with External PerturbationHui Zhou0Zongfu Zhou1Wei Jiang2School of Mathematics and Statistics, Hefei Normal University, Hefei 230601, ChinaSchool of Mathematical Science, Anhui University, Hefei 230039, ChinaSchool of Mathematical Science, Anhui University, Hefei 230039, ChinaA class of stochastic cellular neural networks with external perturbation is investigated. By employing fixed points principle and some stochastic analysis techniques, we establish some sufficient conditions for existence and exponential stability of a quadratic mean almost periodic solution of the model. The new criteria not only improve some classical results but also are applied in real problems due to the changes of external input.http://dx.doi.org/10.1155/2014/905415 |
| spellingShingle | Hui Zhou Zongfu Zhou Wei Jiang Existence and Stability of Almost Periodic Solution for a Stochastic Cellular Neural Network with External Perturbation Abstract and Applied Analysis |
| title | Existence and Stability of Almost Periodic Solution for a Stochastic Cellular Neural Network with External Perturbation |
| title_full | Existence and Stability of Almost Periodic Solution for a Stochastic Cellular Neural Network with External Perturbation |
| title_fullStr | Existence and Stability of Almost Periodic Solution for a Stochastic Cellular Neural Network with External Perturbation |
| title_full_unstemmed | Existence and Stability of Almost Periodic Solution for a Stochastic Cellular Neural Network with External Perturbation |
| title_short | Existence and Stability of Almost Periodic Solution for a Stochastic Cellular Neural Network with External Perturbation |
| title_sort | existence and stability of almost periodic solution for a stochastic cellular neural network with external perturbation |
| url | http://dx.doi.org/10.1155/2014/905415 |
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