Adaptive Fuzzy Synchronization of Fractional-Order Chaotic Neural Networks with Backlash-Like Hysteresis
An adaptive fuzzy synchronization controller is designed for a class of fractional-order neural networks (FONNs) subject to backlash-like hysteresis input. Fuzzy logic systems are used to approximate the system uncertainties as well as the unknown terms of the backlash-like hysteresis. An adaptive f...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/7535628 |
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| _version_ | 1832560824991875072 |
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| author | Wenqing Fu Heng Liu |
| author_facet | Wenqing Fu Heng Liu |
| author_sort | Wenqing Fu |
| collection | DOAJ |
| description | An adaptive fuzzy synchronization controller is designed for a class of fractional-order neural networks (FONNs) subject to backlash-like hysteresis input. Fuzzy logic systems are used to approximate the system uncertainties as well as the unknown terms of the backlash-like hysteresis. An adaptive fuzzy controller, which can guarantee the synchronization errors tend to an arbitrary small region, is given. The stability of the closed-loop system is rigorously analyzed based on fractional Lyapunov stability criterion. Fractional adaptation laws are established to update the fuzzy parameters. Finally, some simulation examples are provided to indicate the effectiveness and the robust of the proposed control method. |
| format | Article |
| id | doaj-art-af434ddb3b9f4b05ae314e8d2082b0e0 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-af434ddb3b9f4b05ae314e8d2082b0e02025-02-03T01:26:42ZengWileyAdvances in Mathematical Physics1687-91201687-91392018-01-01201810.1155/2018/75356287535628Adaptive Fuzzy Synchronization of Fractional-Order Chaotic Neural Networks with Backlash-Like HysteresisWenqing Fu0Heng Liu1School of Science, Xi’an Technological University, Xi’an 710021, ChinaDepartment of Applied Mathematics, Huainan Normal University, Huainan 2320389, ChinaAn adaptive fuzzy synchronization controller is designed for a class of fractional-order neural networks (FONNs) subject to backlash-like hysteresis input. Fuzzy logic systems are used to approximate the system uncertainties as well as the unknown terms of the backlash-like hysteresis. An adaptive fuzzy controller, which can guarantee the synchronization errors tend to an arbitrary small region, is given. The stability of the closed-loop system is rigorously analyzed based on fractional Lyapunov stability criterion. Fractional adaptation laws are established to update the fuzzy parameters. Finally, some simulation examples are provided to indicate the effectiveness and the robust of the proposed control method.http://dx.doi.org/10.1155/2018/7535628 |
| spellingShingle | Wenqing Fu Heng Liu Adaptive Fuzzy Synchronization of Fractional-Order Chaotic Neural Networks with Backlash-Like Hysteresis Advances in Mathematical Physics |
| title | Adaptive Fuzzy Synchronization of Fractional-Order Chaotic Neural Networks with Backlash-Like Hysteresis |
| title_full | Adaptive Fuzzy Synchronization of Fractional-Order Chaotic Neural Networks with Backlash-Like Hysteresis |
| title_fullStr | Adaptive Fuzzy Synchronization of Fractional-Order Chaotic Neural Networks with Backlash-Like Hysteresis |
| title_full_unstemmed | Adaptive Fuzzy Synchronization of Fractional-Order Chaotic Neural Networks with Backlash-Like Hysteresis |
| title_short | Adaptive Fuzzy Synchronization of Fractional-Order Chaotic Neural Networks with Backlash-Like Hysteresis |
| title_sort | adaptive fuzzy synchronization of fractional order chaotic neural networks with backlash like hysteresis |
| url | http://dx.doi.org/10.1155/2018/7535628 |
| work_keys_str_mv | AT wenqingfu adaptivefuzzysynchronizationoffractionalorderchaoticneuralnetworkswithbacklashlikehysteresis AT hengliu adaptivefuzzysynchronizationoffractionalorderchaoticneuralnetworkswithbacklashlikehysteresis |