Exponential synchronization of neural networks with mixed delays under impulsive control
In this paper, the exponential synchronization problem of a class of neural networks with mixed delays under impulsive control is studied. Combining the impulsive comparison principle and the concept of an average impulsive interval, two impulsive differential inequalities with mixed delays are disc...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-09-01
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| Series: | Electronic Research Archive |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2024244 |
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| author | Wanshun Zhao Kelin Li Yanchao Shi |
| author_facet | Wanshun Zhao Kelin Li Yanchao Shi |
| author_sort | Wanshun Zhao |
| collection | DOAJ |
| description | In this paper, the exponential synchronization problem of a class of neural networks with mixed delays under impulsive control is studied. Combining the impulsive comparison principle and the concept of an average impulsive interval, two impulsive differential inequalities with mixed delays are discussed, and the sufficient conditions for the existence of exponential decay are obtained. Based on two different impulsive control strategies, and then by means of the Lyapunov function, the inequality technique, and these two new inequalities, a set of sufficient conditions are derived to ensure the synchronization of the drive and response systems. In order to prove the effectiveness of the proposed control scheme, two numerical examples are given to prove its practicability and effectiveness. |
| format | Article |
| id | doaj-art-eeb80a0946594e049b3d3798c7c0751a |
| institution | Kabale University |
| issn | 2688-1594 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj-art-eeb80a0946594e049b3d3798c7c0751a2025-01-23T07:52:42ZengAIMS PressElectronic Research Archive2688-15942024-09-013295287530510.3934/era.2024244Exponential synchronization of neural networks with mixed delays under impulsive controlWanshun Zhao0Kelin Li1Yanchao Shi2College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, ChinaCollege of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, ChinaSchool of Science, Southwest Petroleum University, Chengdu 610500, ChinaIn this paper, the exponential synchronization problem of a class of neural networks with mixed delays under impulsive control is studied. Combining the impulsive comparison principle and the concept of an average impulsive interval, two impulsive differential inequalities with mixed delays are discussed, and the sufficient conditions for the existence of exponential decay are obtained. Based on two different impulsive control strategies, and then by means of the Lyapunov function, the inequality technique, and these two new inequalities, a set of sufficient conditions are derived to ensure the synchronization of the drive and response systems. In order to prove the effectiveness of the proposed control scheme, two numerical examples are given to prove its practicability and effectiveness.https://www.aimspress.com/article/doi/10.3934/era.2024244neural networksimpulsive differential inequalitiesexponential synchronizationdelayimpulsive control |
| spellingShingle | Wanshun Zhao Kelin Li Yanchao Shi Exponential synchronization of neural networks with mixed delays under impulsive control Electronic Research Archive neural networks impulsive differential inequalities exponential synchronization delay impulsive control |
| title | Exponential synchronization of neural networks with mixed delays under impulsive control |
| title_full | Exponential synchronization of neural networks with mixed delays under impulsive control |
| title_fullStr | Exponential synchronization of neural networks with mixed delays under impulsive control |
| title_full_unstemmed | Exponential synchronization of neural networks with mixed delays under impulsive control |
| title_short | Exponential synchronization of neural networks with mixed delays under impulsive control |
| title_sort | exponential synchronization of neural networks with mixed delays under impulsive control |
| topic | neural networks impulsive differential inequalities exponential synchronization delay impulsive control |
| url | https://www.aimspress.com/article/doi/10.3934/era.2024244 |
| work_keys_str_mv | AT wanshunzhao exponentialsynchronizationofneuralnetworkswithmixeddelaysunderimpulsivecontrol AT kelinli exponentialsynchronizationofneuralnetworkswithmixeddelaysunderimpulsivecontrol AT yanchaoshi exponentialsynchronizationofneuralnetworkswithmixeddelaysunderimpulsivecontrol |