Stochastic Synchronization of Neutral-Type Neural Networks with Multidelays Based on M-Matrix
The problem of stochastic synchronization of neutral-type neural networks with multidelays based on M-matrix is researched. Firstly, we designed a control law of stochastic synchronization of the neural-type and multiple time-delays neural network. Secondly, by making use of Lyapunov functional and...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/826810 |
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| _version_ | 1832551734768041984 |
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| author | Wuneng Zhou Xueqing Yang Jun Yang Jun Zhou |
| author_facet | Wuneng Zhou Xueqing Yang Jun Yang Jun Zhou |
| author_sort | Wuneng Zhou |
| collection | DOAJ |
| description | The problem of stochastic synchronization
of neutral-type neural networks with multidelays based on
M-matrix is researched. Firstly, we designed a control law of
stochastic synchronization of the neural-type and multiple time-delays
neural network. Secondly, by making use of Lyapunov
functional and M-matrix method, we obtained a criterion under
which the drive and response neutral-type multiple time-delays
neural networks with stochastic disturbance and Markovian
switching are stochastic synchronization. The synchronization
condition is expressed as linear matrix inequality which can
be easily solved by MATLAB. Finally, we introduced a numerical
example to illustrate the effectiveness of the method and result
obtained in this paper. |
| format | Article |
| id | doaj-art-5fee5c0f75aa4c8cae0adf2eec28cf5a |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-5fee5c0f75aa4c8cae0adf2eec28cf5a2025-02-03T06:00:36ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/826810826810Stochastic Synchronization of Neutral-Type Neural Networks with Multidelays Based on M-MatrixWuneng Zhou0Xueqing Yang1Jun Yang2Jun Zhou3College of Information Sciences and Technology, Donghua University, Shanghai 201620, ChinaCollege of Information Sciences and Technology, Donghua University, Shanghai 201620, ChinaCollege of Information Sciences and Technology, Donghua University, Shanghai 201620, ChinaCollege of Information Sciences and Technology, Donghua University, Shanghai 201620, ChinaThe problem of stochastic synchronization of neutral-type neural networks with multidelays based on M-matrix is researched. Firstly, we designed a control law of stochastic synchronization of the neural-type and multiple time-delays neural network. Secondly, by making use of Lyapunov functional and M-matrix method, we obtained a criterion under which the drive and response neutral-type multiple time-delays neural networks with stochastic disturbance and Markovian switching are stochastic synchronization. The synchronization condition is expressed as linear matrix inequality which can be easily solved by MATLAB. Finally, we introduced a numerical example to illustrate the effectiveness of the method and result obtained in this paper.http://dx.doi.org/10.1155/2015/826810 |
| spellingShingle | Wuneng Zhou Xueqing Yang Jun Yang Jun Zhou Stochastic Synchronization of Neutral-Type Neural Networks with Multidelays Based on M-Matrix Discrete Dynamics in Nature and Society |
| title | Stochastic Synchronization of Neutral-Type Neural Networks with Multidelays Based on M-Matrix |
| title_full | Stochastic Synchronization of Neutral-Type Neural Networks with Multidelays Based on M-Matrix |
| title_fullStr | Stochastic Synchronization of Neutral-Type Neural Networks with Multidelays Based on M-Matrix |
| title_full_unstemmed | Stochastic Synchronization of Neutral-Type Neural Networks with Multidelays Based on M-Matrix |
| title_short | Stochastic Synchronization of Neutral-Type Neural Networks with Multidelays Based on M-Matrix |
| title_sort | stochastic synchronization of neutral type neural networks with multidelays based on m matrix |
| url | http://dx.doi.org/10.1155/2015/826810 |
| work_keys_str_mv | AT wunengzhou stochasticsynchronizationofneutraltypeneuralnetworkswithmultidelaysbasedonmmatrix AT xueqingyang stochasticsynchronizationofneutraltypeneuralnetworkswithmultidelaysbasedonmmatrix AT junyang stochasticsynchronizationofneutraltypeneuralnetworkswithmultidelaysbasedonmmatrix AT junzhou stochasticsynchronizationofneutraltypeneuralnetworkswithmultidelaysbasedonmmatrix |