Quasi-Synchronization of Nonidentical Fractional-Order Memristive Neural Networks via Impulsive Control
This paper investigates the quasi-synchronization of nonidentical fractional-order memristive neural networks (FMNNs) via impulsive control. Based on a newly provided fractional-order impulsive systems comparison lemma, the average impulsive interval definition, and the Laplace transform, some quasi...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2021/6659063 |
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| author | Ruihan Chen Tianfeng Zhao |
| author_facet | Ruihan Chen Tianfeng Zhao |
| author_sort | Ruihan Chen |
| collection | DOAJ |
| description | This paper investigates the quasi-synchronization of nonidentical fractional-order memristive neural networks (FMNNs) via impulsive control. Based on a newly provided fractional-order impulsive systems comparison lemma, the average impulsive interval definition, and the Laplace transform, some quasi-synchronization conditions are obtained with fractional order 0<α<1. In addition, the error convergence rates and error boundary are also obtained. Finally, one simulation example is presented to show the validity of our results. |
| format | Article |
| id | doaj-art-4ae9319f3e8448eb833f1eaaa12b218e |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-4ae9319f3e8448eb833f1eaaa12b218e2025-02-03T01:20:10ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2021-01-01202110.1155/2021/66590636659063Quasi-Synchronization of Nonidentical Fractional-Order Memristive Neural Networks via Impulsive ControlRuihan Chen0Tianfeng Zhao1School of Mathematics, China University of Mining and Technology, Xuzhou 221116, ChinaCollege of Electrical Engineering, Nantong University, Nantong 226019, ChinaThis paper investigates the quasi-synchronization of nonidentical fractional-order memristive neural networks (FMNNs) via impulsive control. Based on a newly provided fractional-order impulsive systems comparison lemma, the average impulsive interval definition, and the Laplace transform, some quasi-synchronization conditions are obtained with fractional order 0<α<1. In addition, the error convergence rates and error boundary are also obtained. Finally, one simulation example is presented to show the validity of our results.http://dx.doi.org/10.1155/2021/6659063 |
| spellingShingle | Ruihan Chen Tianfeng Zhao Quasi-Synchronization of Nonidentical Fractional-Order Memristive Neural Networks via Impulsive Control Discrete Dynamics in Nature and Society |
| title | Quasi-Synchronization of Nonidentical Fractional-Order Memristive Neural Networks via Impulsive Control |
| title_full | Quasi-Synchronization of Nonidentical Fractional-Order Memristive Neural Networks via Impulsive Control |
| title_fullStr | Quasi-Synchronization of Nonidentical Fractional-Order Memristive Neural Networks via Impulsive Control |
| title_full_unstemmed | Quasi-Synchronization of Nonidentical Fractional-Order Memristive Neural Networks via Impulsive Control |
| title_short | Quasi-Synchronization of Nonidentical Fractional-Order Memristive Neural Networks via Impulsive Control |
| title_sort | quasi synchronization of nonidentical fractional order memristive neural networks via impulsive control |
| url | http://dx.doi.org/10.1155/2021/6659063 |
| work_keys_str_mv | AT ruihanchen quasisynchronizationofnonidenticalfractionalordermemristiveneuralnetworksviaimpulsivecontrol AT tianfengzhao quasisynchronizationofnonidenticalfractionalordermemristiveneuralnetworksviaimpulsivecontrol |