Global Exponential Stability of Periodic Solution for Neutral-Type Complex-Valued Neural Networks
This paper deals with a class of neutral-type complex-valued neural networks with delays. By means of Mawhin’s continuation theorem, some criteria on existence of periodic solutions are established for the neutral-type complex-valued neural networks. By constructing an appropriate Lyapunov-Krasovski...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2016/1267954 |
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| _version_ | 1849692917103329280 |
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| author | Song Guo Bo Du |
| author_facet | Song Guo Bo Du |
| author_sort | Song Guo |
| collection | DOAJ |
| description | This paper deals with a class of neutral-type complex-valued neural networks with delays. By means of Mawhin’s continuation theorem, some criteria on existence of periodic solutions are established for the neutral-type complex-valued neural networks. By constructing an appropriate Lyapunov-Krasovskii functional, some sufficient conditions are derived for the global exponential stability of periodic solutions to the neutral-type complex-valued neural networks. Finally, numerical examples are given to show the effectiveness and merits of the present results. |
| format | Article |
| id | doaj-art-918f3bc0031149c7a175fff89edbc0b0 |
| institution | DOAJ |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-918f3bc0031149c7a175fff89edbc0b02025-08-20T03:20:36ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/12679541267954Global Exponential Stability of Periodic Solution for Neutral-Type Complex-Valued Neural NetworksSong Guo0Bo Du1Department of Mathematics, Huaiyin Normal University, Huaian, Jiangsu 223300, ChinaDepartment of Mathematics, Huaiyin Normal University, Huaian, Jiangsu 223300, ChinaThis paper deals with a class of neutral-type complex-valued neural networks with delays. By means of Mawhin’s continuation theorem, some criteria on existence of periodic solutions are established for the neutral-type complex-valued neural networks. By constructing an appropriate Lyapunov-Krasovskii functional, some sufficient conditions are derived for the global exponential stability of periodic solutions to the neutral-type complex-valued neural networks. Finally, numerical examples are given to show the effectiveness and merits of the present results.http://dx.doi.org/10.1155/2016/1267954 |
| spellingShingle | Song Guo Bo Du Global Exponential Stability of Periodic Solution for Neutral-Type Complex-Valued Neural Networks Discrete Dynamics in Nature and Society |
| title | Global Exponential Stability of Periodic Solution for Neutral-Type Complex-Valued Neural Networks |
| title_full | Global Exponential Stability of Periodic Solution for Neutral-Type Complex-Valued Neural Networks |
| title_fullStr | Global Exponential Stability of Periodic Solution for Neutral-Type Complex-Valued Neural Networks |
| title_full_unstemmed | Global Exponential Stability of Periodic Solution for Neutral-Type Complex-Valued Neural Networks |
| title_short | Global Exponential Stability of Periodic Solution for Neutral-Type Complex-Valued Neural Networks |
| title_sort | global exponential stability of periodic solution for neutral type complex valued neural networks |
| url | http://dx.doi.org/10.1155/2016/1267954 |
| work_keys_str_mv | AT songguo globalexponentialstabilityofperiodicsolutionforneutraltypecomplexvaluedneuralnetworks AT bodu globalexponentialstabilityofperiodicsolutionforneutraltypecomplexvaluedneuralnetworks |