Projective Synchronization of Nonidentical Fractional-Order Memristive Neural Networks
This paper investigates projective synchronization of nonidentical fractional-order memristive neural networks (NFMNN) via sliding mode controller. Firstly, based on the sliding mode control theory, a new fractional-order integral sliding mode controller is designed to ensure the occurrence of slidi...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2019/8743482 |
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| _version_ | 1832568080262234112 |
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| author | Chong Chen Zhixia Ding |
| author_facet | Chong Chen Zhixia Ding |
| author_sort | Chong Chen |
| collection | DOAJ |
| description | This paper investigates projective synchronization of nonidentical fractional-order memristive neural networks (NFMNN) via sliding mode controller. Firstly, based on the sliding mode control theory, a new fractional-order integral sliding mode controller is designed to ensure the occurrence of sliding motion. Furthermore, according to fractional-order differential inequalities and fractional-order Lyapunov direct method, the trajectories of the system converge to the sliding mode surface to carry out sliding mode motion, and some sufficient criteria are obtained to achieve global projective synchronization of NFMNN. In addition, the conclusions extend and improve some previous works on the synchronization of fractional-order memristive neural networks (FMNN). Finally, a simulation example is given to verify the effectiveness and correctness of the obtained results. |
| format | Article |
| id | doaj-art-65e0939afa9d45b3b75ed2636a1d1d9e |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-65e0939afa9d45b3b75ed2636a1d1d9e2025-02-03T00:59:44ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2019-01-01201910.1155/2019/87434828743482Projective Synchronization of Nonidentical Fractional-Order Memristive Neural NetworksChong Chen0Zhixia Ding1School of Electrical and Information Engineering, Wuhan Institute of Technology, Wuhan 430205, ChinaSchool of Electrical and Information Engineering, Wuhan Institute of Technology, Wuhan 430205, ChinaThis paper investigates projective synchronization of nonidentical fractional-order memristive neural networks (NFMNN) via sliding mode controller. Firstly, based on the sliding mode control theory, a new fractional-order integral sliding mode controller is designed to ensure the occurrence of sliding motion. Furthermore, according to fractional-order differential inequalities and fractional-order Lyapunov direct method, the trajectories of the system converge to the sliding mode surface to carry out sliding mode motion, and some sufficient criteria are obtained to achieve global projective synchronization of NFMNN. In addition, the conclusions extend and improve some previous works on the synchronization of fractional-order memristive neural networks (FMNN). Finally, a simulation example is given to verify the effectiveness and correctness of the obtained results.http://dx.doi.org/10.1155/2019/8743482 |
| spellingShingle | Chong Chen Zhixia Ding Projective Synchronization of Nonidentical Fractional-Order Memristive Neural Networks Discrete Dynamics in Nature and Society |
| title | Projective Synchronization of Nonidentical Fractional-Order Memristive Neural Networks |
| title_full | Projective Synchronization of Nonidentical Fractional-Order Memristive Neural Networks |
| title_fullStr | Projective Synchronization of Nonidentical Fractional-Order Memristive Neural Networks |
| title_full_unstemmed | Projective Synchronization of Nonidentical Fractional-Order Memristive Neural Networks |
| title_short | Projective Synchronization of Nonidentical Fractional-Order Memristive Neural Networks |
| title_sort | projective synchronization of nonidentical fractional order memristive neural networks |
| url | http://dx.doi.org/10.1155/2019/8743482 |
| work_keys_str_mv | AT chongchen projectivesynchronizationofnonidenticalfractionalordermemristiveneuralnetworks AT zhixiading projectivesynchronizationofnonidenticalfractionalordermemristiveneuralnetworks |