Almost Periodic Synchronization for Quaternion-Valued Neural Networks with Time-Varying Delays
This paper focuses on the global exponential almost periodic synchronization of quaternion-valued neural networks with time-varying delays. By virtue of the exponential dichotomy of linear differential equations, Banach’s fixed point theorem, Lyapunov functional method, and differential inequality t...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/6504590 |
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| _version_ | 1849468880249946112 |
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| author | Yongkun Li Xiaofang Meng Yuan Ye |
| author_facet | Yongkun Li Xiaofang Meng Yuan Ye |
| author_sort | Yongkun Li |
| collection | DOAJ |
| description | This paper focuses on the global exponential almost periodic synchronization of quaternion-valued neural networks with time-varying delays. By virtue of the exponential dichotomy of linear differential equations, Banach’s fixed point theorem, Lyapunov functional method, and differential inequality technique, some sufficient conditions are established for assuring the existence and global exponential synchronization of almost periodic solutions of the delayed quaternion-valued neural networks, which are completely new. Finally, we give one example with simulation to show the applicability and effectiveness of our main results. |
| format | Article |
| id | doaj-art-f2db664d2a6344c7a5bd28cdd18abbfd |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-f2db664d2a6344c7a5bd28cdd18abbfd2025-08-20T03:25:42ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/65045906504590Almost Periodic Synchronization for Quaternion-Valued Neural Networks with Time-Varying DelaysYongkun Li0Xiaofang Meng1Yuan Ye2Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, ChinaDepartment of Mathematics, Yunnan University, Kunming, Yunnan 650091, ChinaGraduate School, Yunnan University, Kunming, Yunnan 650091, ChinaThis paper focuses on the global exponential almost periodic synchronization of quaternion-valued neural networks with time-varying delays. By virtue of the exponential dichotomy of linear differential equations, Banach’s fixed point theorem, Lyapunov functional method, and differential inequality technique, some sufficient conditions are established for assuring the existence and global exponential synchronization of almost periodic solutions of the delayed quaternion-valued neural networks, which are completely new. Finally, we give one example with simulation to show the applicability and effectiveness of our main results.http://dx.doi.org/10.1155/2018/6504590 |
| spellingShingle | Yongkun Li Xiaofang Meng Yuan Ye Almost Periodic Synchronization for Quaternion-Valued Neural Networks with Time-Varying Delays Complexity |
| title | Almost Periodic Synchronization for Quaternion-Valued Neural Networks with Time-Varying Delays |
| title_full | Almost Periodic Synchronization for Quaternion-Valued Neural Networks with Time-Varying Delays |
| title_fullStr | Almost Periodic Synchronization for Quaternion-Valued Neural Networks with Time-Varying Delays |
| title_full_unstemmed | Almost Periodic Synchronization for Quaternion-Valued Neural Networks with Time-Varying Delays |
| title_short | Almost Periodic Synchronization for Quaternion-Valued Neural Networks with Time-Varying Delays |
| title_sort | almost periodic synchronization for quaternion valued neural networks with time varying delays |
| url | http://dx.doi.org/10.1155/2018/6504590 |
| work_keys_str_mv | AT yongkunli almostperiodicsynchronizationforquaternionvaluedneuralnetworkswithtimevaryingdelays AT xiaofangmeng almostperiodicsynchronizationforquaternionvaluedneuralnetworkswithtimevaryingdelays AT yuanye almostperiodicsynchronizationforquaternionvaluedneuralnetworkswithtimevaryingdelays |