Intermittent Finite-Time Synchronization for Reaction-Diffusion Competitive Neural Networks with Different Time Scales
This paper focuses on the finite-time synchronization issue for reaction-diffusion competitive neural networks (RCNNs) with different time scales and time-varying delays. To reduce the waste of network resources, a periodically intermittent control strategy is presented based on two time scales (sho...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2024-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2024/3853241 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1841564831229935616 |
|---|---|
| author | Renxi Hu Jie Liu |
| author_facet | Renxi Hu Jie Liu |
| author_sort | Renxi Hu |
| collection | DOAJ |
| description | This paper focuses on the finite-time synchronization issue for reaction-diffusion competitive neural networks (RCNNs) with different time scales and time-varying delays. To reduce the waste of network resources, a periodically intermittent control strategy is presented based on two time scales (short and long memory) and time-varying delay. By constructing the Lyapunov–Krasovskii functional, with the help of Lyapunov stability theory and auxiliary inequality technique, the finite-time synchronization can be guaranteed and the settling time is exactly estimated. Finally, an exhaustive numerical analysis is presented to illustrate the effectiveness of the controller and the correctness of theoretical results. |
| format | Article |
| id | doaj-art-cce08279a6ea4f5189d12a292900f7e6 |
| institution | Kabale University |
| issn | 1607-887X |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-cce08279a6ea4f5189d12a292900f7e62025-01-02T22:32:32ZengWileyDiscrete Dynamics in Nature and Society1607-887X2024-01-01202410.1155/2024/3853241Intermittent Finite-Time Synchronization for Reaction-Diffusion Competitive Neural Networks with Different Time ScalesRenxi Hu0Jie Liu1Hebei Jiaotong Vocational and Technical CollegeShijiazhuang CampusThis paper focuses on the finite-time synchronization issue for reaction-diffusion competitive neural networks (RCNNs) with different time scales and time-varying delays. To reduce the waste of network resources, a periodically intermittent control strategy is presented based on two time scales (short and long memory) and time-varying delay. By constructing the Lyapunov–Krasovskii functional, with the help of Lyapunov stability theory and auxiliary inequality technique, the finite-time synchronization can be guaranteed and the settling time is exactly estimated. Finally, an exhaustive numerical analysis is presented to illustrate the effectiveness of the controller and the correctness of theoretical results.http://dx.doi.org/10.1155/2024/3853241 |
| spellingShingle | Renxi Hu Jie Liu Intermittent Finite-Time Synchronization for Reaction-Diffusion Competitive Neural Networks with Different Time Scales Discrete Dynamics in Nature and Society |
| title | Intermittent Finite-Time Synchronization for Reaction-Diffusion Competitive Neural Networks with Different Time Scales |
| title_full | Intermittent Finite-Time Synchronization for Reaction-Diffusion Competitive Neural Networks with Different Time Scales |
| title_fullStr | Intermittent Finite-Time Synchronization for Reaction-Diffusion Competitive Neural Networks with Different Time Scales |
| title_full_unstemmed | Intermittent Finite-Time Synchronization for Reaction-Diffusion Competitive Neural Networks with Different Time Scales |
| title_short | Intermittent Finite-Time Synchronization for Reaction-Diffusion Competitive Neural Networks with Different Time Scales |
| title_sort | intermittent finite time synchronization for reaction diffusion competitive neural networks with different time scales |
| url | http://dx.doi.org/10.1155/2024/3853241 |
| work_keys_str_mv | AT renxihu intermittentfinitetimesynchronizationforreactiondiffusioncompetitiveneuralnetworkswithdifferenttimescales AT jieliu intermittentfinitetimesynchronizationforreactiondiffusioncompetitiveneuralnetworkswithdifferenttimescales |