Synchronization Analysis of a Class of Neural Networks with Multiple Time Delays
In this paper, we study the synchronization of a new fractional-order neural network with multiple delays. Based on the control theory of linear systems with multiple delays, we get the controller to analyse the synchronization of the system. In addition, a suitable Lyapunov function is constructed...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/5573619 |
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| _version_ | 1850224471699357696 |
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| author | Changyou Wang Qiang Yang Tao Jiang Nan Li |
| author_facet | Changyou Wang Qiang Yang Tao Jiang Nan Li |
| author_sort | Changyou Wang |
| collection | DOAJ |
| description | In this paper, we study the synchronization of a new fractional-order neural network with multiple delays. Based on the control theory of linear systems with multiple delays, we get the controller to analyse the synchronization of the system. In addition, a suitable Lyapunov function is constructed by using the theory of delay differential inequality, and some criteria ensuring the synchronization of delay fractional neural networks with Caputo derivatives are obtained. Finally, the accuracy of the method is verified by a numerical example. |
| format | Article |
| id | doaj-art-4e96cda684e74a01aae6ba56b3df8fa0 |
| institution | OA Journals |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-4e96cda684e74a01aae6ba56b3df8fa02025-08-20T02:05:36ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/55736195573619Synchronization Analysis of a Class of Neural Networks with Multiple Time DelaysChangyou Wang0Qiang Yang1Tao Jiang2Nan Li3College of Applied Mathematics, Chengdu University of Information Technology, Chengdu 610225, ChinaCollege of Applied Mathematics, Chengdu University of Information Technology, Chengdu 610225, ChinaControl Engineering College, Chengdu University of Information Technology, Chengdu 610225, ChinaDepartment of Applied Mathematics, Southwestern University of Finance and Economics, Chengdu 610074, ChinaIn this paper, we study the synchronization of a new fractional-order neural network with multiple delays. Based on the control theory of linear systems with multiple delays, we get the controller to analyse the synchronization of the system. In addition, a suitable Lyapunov function is constructed by using the theory of delay differential inequality, and some criteria ensuring the synchronization of delay fractional neural networks with Caputo derivatives are obtained. Finally, the accuracy of the method is verified by a numerical example.http://dx.doi.org/10.1155/2021/5573619 |
| spellingShingle | Changyou Wang Qiang Yang Tao Jiang Nan Li Synchronization Analysis of a Class of Neural Networks with Multiple Time Delays Journal of Mathematics |
| title | Synchronization Analysis of a Class of Neural Networks with Multiple Time Delays |
| title_full | Synchronization Analysis of a Class of Neural Networks with Multiple Time Delays |
| title_fullStr | Synchronization Analysis of a Class of Neural Networks with Multiple Time Delays |
| title_full_unstemmed | Synchronization Analysis of a Class of Neural Networks with Multiple Time Delays |
| title_short | Synchronization Analysis of a Class of Neural Networks with Multiple Time Delays |
| title_sort | synchronization analysis of a class of neural networks with multiple time delays |
| url | http://dx.doi.org/10.1155/2021/5573619 |
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