Finite-Time Synchronization of Fractional-Order Complex-Valued Cohen-Grossberg Neural Networks with Mixed Time Delays and State-Dependent Switching
This paper discussed the finite-time synchronization of fractional-order complex-valued Cohen-Grossberg neural networks (FCVCGNNs), which contain mixed time delays and state-dependent switching that make the model more comprehensive. Different from other methods, we use a method of nonseparating rea...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2022/4227067 |
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| author | Xiaoxia Li Yingzi Cao Chi Zheng Zhixin Feng Guizhi Xu |
| author_facet | Xiaoxia Li Yingzi Cao Chi Zheng Zhixin Feng Guizhi Xu |
| author_sort | Xiaoxia Li |
| collection | DOAJ |
| description | This paper discussed the finite-time synchronization of fractional-order complex-valued Cohen-Grossberg neural networks (FCVCGNNs), which contain mixed time delays and state-dependent switching that make the model more comprehensive. Different from other methods, we use a method of nonseparating real and imaginary parts to get our conclusions. By applying fractional-order inequalities and the Lyapunov function, effective controllers with suitable conditions are derived. Additionally, the maximum time for the drive-response system to reach synchronization is also given. Finally, numerical examples are designed to illustrate the effectiveness of our obtained theoretical results. |
| format | Article |
| id | doaj-art-20ebafc01aae49da905bb17ae536a2b8 |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-20ebafc01aae49da905bb17ae536a2b82025-02-03T01:20:18ZengWileyAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/4227067Finite-Time Synchronization of Fractional-Order Complex-Valued Cohen-Grossberg Neural Networks with Mixed Time Delays and State-Dependent SwitchingXiaoxia Li0Yingzi Cao1Chi Zheng2Zhixin Feng3Guizhi Xu4State Key Laboratory of Reliability and Intelligence of Electrical EquipmentState Key Laboratory of Reliability and Intelligence of Electrical EquipmentState Key Laboratory of Reliability and Intelligence of Electrical EquipmentState Key Laboratory of Reliability and Intelligence of Electrical EquipmentState Key Laboratory of Reliability and Intelligence of Electrical EquipmentThis paper discussed the finite-time synchronization of fractional-order complex-valued Cohen-Grossberg neural networks (FCVCGNNs), which contain mixed time delays and state-dependent switching that make the model more comprehensive. Different from other methods, we use a method of nonseparating real and imaginary parts to get our conclusions. By applying fractional-order inequalities and the Lyapunov function, effective controllers with suitable conditions are derived. Additionally, the maximum time for the drive-response system to reach synchronization is also given. Finally, numerical examples are designed to illustrate the effectiveness of our obtained theoretical results.http://dx.doi.org/10.1155/2022/4227067 |
| spellingShingle | Xiaoxia Li Yingzi Cao Chi Zheng Zhixin Feng Guizhi Xu Finite-Time Synchronization of Fractional-Order Complex-Valued Cohen-Grossberg Neural Networks with Mixed Time Delays and State-Dependent Switching Advances in Mathematical Physics |
| title | Finite-Time Synchronization of Fractional-Order Complex-Valued Cohen-Grossberg Neural Networks with Mixed Time Delays and State-Dependent Switching |
| title_full | Finite-Time Synchronization of Fractional-Order Complex-Valued Cohen-Grossberg Neural Networks with Mixed Time Delays and State-Dependent Switching |
| title_fullStr | Finite-Time Synchronization of Fractional-Order Complex-Valued Cohen-Grossberg Neural Networks with Mixed Time Delays and State-Dependent Switching |
| title_full_unstemmed | Finite-Time Synchronization of Fractional-Order Complex-Valued Cohen-Grossberg Neural Networks with Mixed Time Delays and State-Dependent Switching |
| title_short | Finite-Time Synchronization of Fractional-Order Complex-Valued Cohen-Grossberg Neural Networks with Mixed Time Delays and State-Dependent Switching |
| title_sort | finite time synchronization of fractional order complex valued cohen grossberg neural networks with mixed time delays and state dependent switching |
| url | http://dx.doi.org/10.1155/2022/4227067 |
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