Finite-Time and Fixed-Time Synchronization of Memristor-Based Cohen–Grossberg Neural Networks via a Unified Control Strategy
This article focuses on the problem of finite-time and fixed-time synchronization for Cohen–Grossberg neural networks (CGNNs) with time-varying delays and memristor connection weights. First, through a nonlinear transformation, an alternative system is derived from the Cohen–Grossberg memristor-base...
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| Format: | Article |
| Language: | English |
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MDPI AG
2025-02-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/13/4/630 |
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| author | Mei Liu Binglong Lu Jinling Wang Haijun Jiang Cheng Hu |
| author_facet | Mei Liu Binglong Lu Jinling Wang Haijun Jiang Cheng Hu |
| author_sort | Mei Liu |
| collection | DOAJ |
| description | This article focuses on the problem of finite-time and fixed-time synchronization for Cohen–Grossberg neural networks (CGNNs) with time-varying delays and memristor connection weights. First, through a nonlinear transformation, an alternative system is derived from the Cohen–Grossberg memristor-based neural networks (MCGNNs) considered. Then, under the framework of the Filippov solution and by adjusting a key control parameter, some novel and effective criteria are obtained to ensure finite-time or fixed-time synchronization of the alternative networks via the unified control framework and under the same conditions. Furthermore, the two types of synchronization criteria are derived from the considered MCGNNs. Finally, some numerical simulations are presented to test the validity of these theoretical conclusions. |
| format | Article |
| id | doaj-art-41b8bdff482048b3ae3a91fa5bdad588 |
| institution | DOAJ |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-41b8bdff482048b3ae3a91fa5bdad5882025-08-20T03:12:09ZengMDPI AGMathematics2227-73902025-02-0113463010.3390/math13040630Finite-Time and Fixed-Time Synchronization of Memristor-Based Cohen–Grossberg Neural Networks via a Unified Control StrategyMei Liu0Binglong Lu1Jinling Wang2Haijun Jiang3Cheng Hu4School of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, ChinaSchool of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, ChinaCollege of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, ChinaCollege of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, ChinaCollege of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, ChinaThis article focuses on the problem of finite-time and fixed-time synchronization for Cohen–Grossberg neural networks (CGNNs) with time-varying delays and memristor connection weights. First, through a nonlinear transformation, an alternative system is derived from the Cohen–Grossberg memristor-based neural networks (MCGNNs) considered. Then, under the framework of the Filippov solution and by adjusting a key control parameter, some novel and effective criteria are obtained to ensure finite-time or fixed-time synchronization of the alternative networks via the unified control framework and under the same conditions. Furthermore, the two types of synchronization criteria are derived from the considered MCGNNs. Finally, some numerical simulations are presented to test the validity of these theoretical conclusions.https://www.mdpi.com/2227-7390/13/4/630memristorfixed-time synchronizationfinite-time synchronizationCohen–Grossberg neural network |
| spellingShingle | Mei Liu Binglong Lu Jinling Wang Haijun Jiang Cheng Hu Finite-Time and Fixed-Time Synchronization of Memristor-Based Cohen–Grossberg Neural Networks via a Unified Control Strategy Mathematics memristor fixed-time synchronization finite-time synchronization Cohen–Grossberg neural network |
| title | Finite-Time and Fixed-Time Synchronization of Memristor-Based Cohen–Grossberg Neural Networks via a Unified Control Strategy |
| title_full | Finite-Time and Fixed-Time Synchronization of Memristor-Based Cohen–Grossberg Neural Networks via a Unified Control Strategy |
| title_fullStr | Finite-Time and Fixed-Time Synchronization of Memristor-Based Cohen–Grossberg Neural Networks via a Unified Control Strategy |
| title_full_unstemmed | Finite-Time and Fixed-Time Synchronization of Memristor-Based Cohen–Grossberg Neural Networks via a Unified Control Strategy |
| title_short | Finite-Time and Fixed-Time Synchronization of Memristor-Based Cohen–Grossberg Neural Networks via a Unified Control Strategy |
| title_sort | finite time and fixed time synchronization of memristor based cohen grossberg neural networks via a unified control strategy |
| topic | memristor fixed-time synchronization finite-time synchronization Cohen–Grossberg neural network |
| url | https://www.mdpi.com/2227-7390/13/4/630 |
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