Fixed-Time Aperiodic Intermittent Control for Quasi-Bipartite Synchronization of Competitive Neural Networks
This paper concerns a class of coupled competitive neural networks, subject to disturbance and discontinuous activation functions. To realize the fixed-time quasi-bipartite synchronization, an aperiodic intermittent controller is initially designed. Subsequently, by combining the fixed-time stabilit...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-02-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/26/3/199 |
| _version_ | 1827306295316709376 |
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| author | Shimiao Tang Jiarong Li Haijun Jiang Jinling Wang |
| author_facet | Shimiao Tang Jiarong Li Haijun Jiang Jinling Wang |
| author_sort | Shimiao Tang |
| collection | DOAJ |
| description | This paper concerns a class of coupled competitive neural networks, subject to disturbance and discontinuous activation functions. To realize the fixed-time quasi-bipartite synchronization, an aperiodic intermittent controller is initially designed. Subsequently, by combining the fixed-time stability theory and nonsmooth analysis, several criteria are established to ensure the bipartite synchronization in fixed time. Moreover, synchronization error bounds and settling time estimates are provided. Finally, numerical simulations are presented to verify the main results. |
| first_indexed | 2024-04-24T18:18:59Z |
| format | Article |
| id | doaj.art-3cd4de146bc74686896f4764389ba831 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-24T18:18:59Z |
| publishDate | 2024-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-3cd4de146bc74686896f4764389ba8312024-03-27T13:36:49ZengMDPI AGEntropy1099-43002024-02-0126319910.3390/e26030199Fixed-Time Aperiodic Intermittent Control for Quasi-Bipartite Synchronization of Competitive Neural NetworksShimiao Tang0Jiarong Li1Haijun Jiang2Jinling Wang3College of Mathematics and System Science, Xinjiang University, Urumqi 830017, ChinaCollege of Mathematics and System Science, Xinjiang University, Urumqi 830017, ChinaSchool of Mathematics and Statistics, Yili Normal University, Yining 835000, ChinaCollege of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, ChinaThis paper concerns a class of coupled competitive neural networks, subject to disturbance and discontinuous activation functions. To realize the fixed-time quasi-bipartite synchronization, an aperiodic intermittent controller is initially designed. Subsequently, by combining the fixed-time stability theory and nonsmooth analysis, several criteria are established to ensure the bipartite synchronization in fixed time. Moreover, synchronization error bounds and settling time estimates are provided. Finally, numerical simulations are presented to verify the main results.https://www.mdpi.com/1099-4300/26/3/199competitive neural networkquasi-bipartite synchronizationfixed-time intermittent controlexternal disturbance |
| spellingShingle | Shimiao Tang Jiarong Li Haijun Jiang Jinling Wang Fixed-Time Aperiodic Intermittent Control for Quasi-Bipartite Synchronization of Competitive Neural Networks Entropy competitive neural network quasi-bipartite synchronization fixed-time intermittent control external disturbance |
| title | Fixed-Time Aperiodic Intermittent Control for Quasi-Bipartite Synchronization of Competitive Neural Networks |
| title_full | Fixed-Time Aperiodic Intermittent Control for Quasi-Bipartite Synchronization of Competitive Neural Networks |
| title_fullStr | Fixed-Time Aperiodic Intermittent Control for Quasi-Bipartite Synchronization of Competitive Neural Networks |
| title_full_unstemmed | Fixed-Time Aperiodic Intermittent Control for Quasi-Bipartite Synchronization of Competitive Neural Networks |
| title_short | Fixed-Time Aperiodic Intermittent Control for Quasi-Bipartite Synchronization of Competitive Neural Networks |
| title_sort | fixed time aperiodic intermittent control for quasi bipartite synchronization of competitive neural networks |
| topic | competitive neural network quasi-bipartite synchronization fixed-time intermittent control external disturbance |
| url | https://www.mdpi.com/1099-4300/26/3/199 |
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