Global Dissipativity on Uncertain Discrete-Time Neural Networks with Time-Varying Delays
The problems on global dissipativity and global exponential dissipativity are investigated for uncertain discrete-time neural networks with time-varying delays and general activation functions. By constructing appropriate Lyapunov-Krasovskii functionals and employing linear matrix inequality techniq...
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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/10.1155/2010/810408 |
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| _version_ | 1850226298390052864 |
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| author | Qiankun Song Jinde Cao |
| author_facet | Qiankun Song Jinde Cao |
| author_sort | Qiankun Song |
| collection | DOAJ |
| description | The problems on global dissipativity and global exponential dissipativity are investigated for uncertain discrete-time neural networks with time-varying delays and general activation functions. By constructing appropriate Lyapunov-Krasovskii functionals and employing linear matrix inequality technique, several new delay-dependent criteria for checking the global dissipativity and global exponential dissipativity of the addressed neural networks are established in linear matrix inequality (LMI), which can be checked numerically using the effective LMI toolbox in MATLAB. Illustrated examples are given to show the effectiveness of the proposed criteria. It is noteworthy that because neither model transformation nor free-weighting matrices are employed to deal with cross terms in the derivation of the dissipativity criteria, the obtained results are less conservative and more computationally efficient. |
| format | Article |
| id | doaj-art-553c78917fbc4d3eabacc2670cab9b8a |
| institution | OA Journals |
| 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-553c78917fbc4d3eabacc2670cab9b8a2025-08-20T02:05:07ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2010-01-01201010.1155/2010/810408810408Global Dissipativity on Uncertain Discrete-Time Neural Networks with Time-Varying DelaysQiankun Song0Jinde Cao1Department of Mathematics, Chongqing Jiaotong University, Chongqing 400074, ChinaDepartment of Mathematics, Southeast University, Nanjing 210096, ChinaThe problems on global dissipativity and global exponential dissipativity are investigated for uncertain discrete-time neural networks with time-varying delays and general activation functions. By constructing appropriate Lyapunov-Krasovskii functionals and employing linear matrix inequality technique, several new delay-dependent criteria for checking the global dissipativity and global exponential dissipativity of the addressed neural networks are established in linear matrix inequality (LMI), which can be checked numerically using the effective LMI toolbox in MATLAB. Illustrated examples are given to show the effectiveness of the proposed criteria. It is noteworthy that because neither model transformation nor free-weighting matrices are employed to deal with cross terms in the derivation of the dissipativity criteria, the obtained results are less conservative and more computationally efficient.http://dx.doi.org/10.1155/2010/810408 |
| spellingShingle | Qiankun Song Jinde Cao Global Dissipativity on Uncertain Discrete-Time Neural Networks with Time-Varying Delays Discrete Dynamics in Nature and Society |
| title | Global Dissipativity on Uncertain Discrete-Time Neural Networks with Time-Varying Delays |
| title_full | Global Dissipativity on Uncertain Discrete-Time Neural Networks with Time-Varying Delays |
| title_fullStr | Global Dissipativity on Uncertain Discrete-Time Neural Networks with Time-Varying Delays |
| title_full_unstemmed | Global Dissipativity on Uncertain Discrete-Time Neural Networks with Time-Varying Delays |
| title_short | Global Dissipativity on Uncertain Discrete-Time Neural Networks with Time-Varying Delays |
| title_sort | global dissipativity on uncertain discrete time neural networks with time varying delays |
| url | http://dx.doi.org/10.1155/2010/810408 |
| work_keys_str_mv | AT qiankunsong globaldissipativityonuncertaindiscretetimeneuralnetworkswithtimevaryingdelays AT jindecao globaldissipativityonuncertaindiscretetimeneuralnetworkswithtimevaryingdelays |