Global μ-Stability of Complex-Valued Neural Networks with Unbounded Time-Varying Delays
The complex-valued neural networks with unbounded time-varying delays are considered. By constructing appropriate Lyapunov-Krasovskii functionals, and employing the free weighting matrix method, several delay-dependent criteria for checking the global μ-stability of the addressed complex-valued neur...
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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/10.1155/2014/263847 |
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| _version_ | 1832567095602184192 |
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| author | Xiaofeng Chen Qiankun Song Xiaohui Liu Zhenjiang Zhao |
| author_facet | Xiaofeng Chen Qiankun Song Xiaohui Liu Zhenjiang Zhao |
| author_sort | Xiaofeng Chen |
| collection | DOAJ |
| description | The complex-valued neural networks with unbounded time-varying delays are considered. By constructing appropriate Lyapunov-Krasovskii functionals, and employing the free weighting matrix method, several delay-dependent criteria for checking the global μ-stability of the addressed complex-valued neural networks are established in linear matrix inequality (LMI), which can be checked numerically using the effective LMI toolbox in MATLAB. Two examples with simulations are given to show the effectiveness and less conservatism of the proposed criteria. |
| format | Article |
| id | doaj-art-4fa8055b5c1340f9a918b78b0b032015 |
| 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-4fa8055b5c1340f9a918b78b0b0320152025-02-03T01:02:21ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/263847263847Global μ-Stability of Complex-Valued Neural Networks with Unbounded Time-Varying DelaysXiaofeng Chen0Qiankun Song1Xiaohui Liu2Zhenjiang Zhao3Department of Mathematics, Chongqing Jiaotong University, Chongqing 400074, ChinaDepartment of Mathematics, Chongqing Jiaotong University, Chongqing 400074, ChinaSchool of Computer Science and Technology, Nanjing University of Science and Technology, Nanjing 210094, ChinaDepartment of Mathematics, Huzhou Teachers College, Huzhou 313000, ChinaThe complex-valued neural networks with unbounded time-varying delays are considered. By constructing appropriate Lyapunov-Krasovskii functionals, and employing the free weighting matrix method, several delay-dependent criteria for checking the global μ-stability of the addressed complex-valued neural networks are established in linear matrix inequality (LMI), which can be checked numerically using the effective LMI toolbox in MATLAB. Two examples with simulations are given to show the effectiveness and less conservatism of the proposed criteria.http://dx.doi.org/10.1155/2014/263847 |
| spellingShingle | Xiaofeng Chen Qiankun Song Xiaohui Liu Zhenjiang Zhao Global μ-Stability of Complex-Valued Neural Networks with Unbounded Time-Varying Delays Abstract and Applied Analysis |
| title | Global μ-Stability of Complex-Valued Neural Networks with Unbounded Time-Varying Delays |
| title_full | Global μ-Stability of Complex-Valued Neural Networks with Unbounded Time-Varying Delays |
| title_fullStr | Global μ-Stability of Complex-Valued Neural Networks with Unbounded Time-Varying Delays |
| title_full_unstemmed | Global μ-Stability of Complex-Valued Neural Networks with Unbounded Time-Varying Delays |
| title_short | Global μ-Stability of Complex-Valued Neural Networks with Unbounded Time-Varying Delays |
| title_sort | global μ stability of complex valued neural networks with unbounded time varying delays |
| url | http://dx.doi.org/10.1155/2014/263847 |
| work_keys_str_mv | AT xiaofengchen globalmstabilityofcomplexvaluedneuralnetworkswithunboundedtimevaryingdelays AT qiankunsong globalmstabilityofcomplexvaluedneuralnetworkswithunboundedtimevaryingdelays AT xiaohuiliu globalmstabilityofcomplexvaluedneuralnetworkswithunboundedtimevaryingdelays AT zhenjiangzhao globalmstabilityofcomplexvaluedneuralnetworkswithunboundedtimevaryingdelays |