Boundedness and Stability for Discrete-Time Delayed Neural Network with Complex-Valued Linear Threshold Neurons
The discrete-time delayed neural network with complex-valued linear threshold neurons is considered. By constructing appropriate Lyapunov-Krasovskii functionals and employing linear matrix inequality technique and analysis method, several new delay-dependent criteria for checking the boundedness and...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2010/368379 |
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| _version_ | 1832550340822564864 |
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| author | Chengjun Duan Qiankun Song |
| author_facet | Chengjun Duan Qiankun Song |
| author_sort | Chengjun Duan |
| collection | DOAJ |
| description | The discrete-time delayed neural network with complex-valued linear threshold neurons is considered. By constructing appropriate Lyapunov-Krasovskii functionals and employing linear matrix inequality technique and analysis method, several new delay-dependent criteria for checking the boundedness and global exponential stability are established. Illustrated examples are also given to show the effectiveness and less conservatism of the proposed criteria. |
| format | Article |
| id | doaj-art-281459457d284d2d8b5409cb4e933055 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-281459457d284d2d8b5409cb4e9330552025-02-03T06:07:01ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2010-01-01201010.1155/2010/368379368379Boundedness and Stability for Discrete-Time Delayed Neural Network with Complex-Valued Linear Threshold NeuronsChengjun Duan0Qiankun Song1Department of Mathematics, Chongqing Jiaotong University, Chongqing 400074, ChinaDepartment of Mathematics, Chongqing Jiaotong University, Chongqing 400074, ChinaThe discrete-time delayed neural network with complex-valued linear threshold neurons is considered. By constructing appropriate Lyapunov-Krasovskii functionals and employing linear matrix inequality technique and analysis method, several new delay-dependent criteria for checking the boundedness and global exponential stability are established. Illustrated examples are also given to show the effectiveness and less conservatism of the proposed criteria.http://dx.doi.org/10.1155/2010/368379 |
| spellingShingle | Chengjun Duan Qiankun Song Boundedness and Stability for Discrete-Time Delayed Neural Network with Complex-Valued Linear Threshold Neurons Discrete Dynamics in Nature and Society |
| title | Boundedness and Stability for Discrete-Time Delayed Neural Network with Complex-Valued Linear Threshold Neurons |
| title_full | Boundedness and Stability for Discrete-Time Delayed Neural Network with Complex-Valued Linear Threshold Neurons |
| title_fullStr | Boundedness and Stability for Discrete-Time Delayed Neural Network with Complex-Valued Linear Threshold Neurons |
| title_full_unstemmed | Boundedness and Stability for Discrete-Time Delayed Neural Network with Complex-Valued Linear Threshold Neurons |
| title_short | Boundedness and Stability for Discrete-Time Delayed Neural Network with Complex-Valued Linear Threshold Neurons |
| title_sort | boundedness and stability for discrete time delayed neural network with complex valued linear threshold neurons |
| url | http://dx.doi.org/10.1155/2010/368379 |
| work_keys_str_mv | AT chengjunduan boundednessandstabilityfordiscretetimedelayedneuralnetworkwithcomplexvaluedlinearthresholdneurons AT qiankunsong boundednessandstabilityfordiscretetimedelayedneuralnetworkwithcomplexvaluedlinearthresholdneurons |