Synchronization of bidirection multiple neural networks with impulsive coupling control
Abstract This paper is devoted to the study of the global synchronization of multiple neural networks (MNNs) via impulsive coupling control. Compared to one-layer neural networks, MNNs have more complex dynamics behavior and greater practical significance. In this paper, two interconnected bidirecti...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-07-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-020-02796-6 |
| _version_ | 1811311791167242240 |
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| author | Yong Wang Ailong Wu Biwen Li |
| author_facet | Yong Wang Ailong Wu Biwen Li |
| author_sort | Yong Wang |
| collection | DOAJ |
| description | Abstract This paper is devoted to the study of the global synchronization of multiple neural networks (MNNs) via impulsive coupling control. Compared to one-layer neural networks, MNNs have more complex dynamics behavior and greater practical significance. In this paper, two interconnected bidirection MNNs are constructed; for this type of neural network system, each node in their network will be affected by the corresponding node in another network, then the synchronization problem of unidirection MNNs is extended to bidirection MNNs. In order to achieve synchronization of the bidirection MNNs, we adopt the method of impulsive coupling control, and together with the appropriate Lyapunov function, we deduce the relationship of the synchronization error system at the adjacent two impulsive moments, through iteration, and we finally obtain sufficient conditions to realize the global synchronization of the two interconnected bidirection MNNs. We illustrate the effectiveness of the results by simulation. |
| first_indexed | 2024-04-13T10:23:53Z |
| format | Article |
| id | doaj.art-5ccab49b460044ecb8ef54ad1fb08c7e |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-04-13T10:23:53Z |
| publishDate | 2020-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-5ccab49b460044ecb8ef54ad1fb08c7e2022-12-22T02:50:22ZengSpringerOpenAdvances in Difference Equations1687-18472020-07-012020112210.1186/s13662-020-02796-6Synchronization of bidirection multiple neural networks with impulsive coupling controlYong Wang0Ailong Wu1Biwen Li2College of Applied Mathematics, Hubei Normal UniversityCollege of Mathematics and Statistics, Hubei Normal UniversityCollege of Mathematics and Statistics, Hubei Normal UniversityAbstract This paper is devoted to the study of the global synchronization of multiple neural networks (MNNs) via impulsive coupling control. Compared to one-layer neural networks, MNNs have more complex dynamics behavior and greater practical significance. In this paper, two interconnected bidirection MNNs are constructed; for this type of neural network system, each node in their network will be affected by the corresponding node in another network, then the synchronization problem of unidirection MNNs is extended to bidirection MNNs. In order to achieve synchronization of the bidirection MNNs, we adopt the method of impulsive coupling control, and together with the appropriate Lyapunov function, we deduce the relationship of the synchronization error system at the adjacent two impulsive moments, through iteration, and we finally obtain sufficient conditions to realize the global synchronization of the two interconnected bidirection MNNs. We illustrate the effectiveness of the results by simulation.http://link.springer.com/article/10.1186/s13662-020-02796-6Multiple neural networksImpulsive coupling controlSynchronizationCoupling strengthVariable topology |
| spellingShingle | Yong Wang Ailong Wu Biwen Li Synchronization of bidirection multiple neural networks with impulsive coupling control Advances in Difference Equations Multiple neural networks Impulsive coupling control Synchronization Coupling strength Variable topology |
| title | Synchronization of bidirection multiple neural networks with impulsive coupling control |
| title_full | Synchronization of bidirection multiple neural networks with impulsive coupling control |
| title_fullStr | Synchronization of bidirection multiple neural networks with impulsive coupling control |
| title_full_unstemmed | Synchronization of bidirection multiple neural networks with impulsive coupling control |
| title_short | Synchronization of bidirection multiple neural networks with impulsive coupling control |
| title_sort | synchronization of bidirection multiple neural networks with impulsive coupling control |
| topic | Multiple neural networks Impulsive coupling control Synchronization Coupling strength Variable topology |
| url | http://link.springer.com/article/10.1186/s13662-020-02796-6 |
| work_keys_str_mv | AT yongwang synchronizationofbidirectionmultipleneuralnetworkswithimpulsivecouplingcontrol AT ailongwu synchronizationofbidirectionmultipleneuralnetworkswithimpulsivecouplingcontrol AT biwenli synchronizationofbidirectionmultipleneuralnetworkswithimpulsivecouplingcontrol |