Robust Asymptotical Stability and Stabilization of Fractional-Order Complex-Valued Neural Networks with Delay
The robust asymptotical stability and stabilization for a class of fractional-order complex-valued neural networks (FCNNs) with parametric uncertainties and time delay are considered in this paper. It is worth noting that our system combines complex numbers, uncertain parameters, time delay, and fra...
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| Main Authors: | , , , |
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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/10.1155/2021/5653791 |
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| _version_ | 1832566618350157824 |
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| author | Jingjing Zeng Xujun Yang Lu Wang Xiaofeng Chen |
| author_facet | Jingjing Zeng Xujun Yang Lu Wang Xiaofeng Chen |
| author_sort | Jingjing Zeng |
| collection | DOAJ |
| description | The robust asymptotical stability and stabilization for a class of fractional-order complex-valued neural networks (FCNNs) with parametric uncertainties and time delay are considered in this paper. It is worth noting that our system combines complex numbers, uncertain parameters, time delay, and fractional orders, which is universal in practical application. Using the theorem of homeomorphism, the sufficient condition of the existence and uniqueness of the equilibrium point for the system is obtained. Then, the sufficient criteria of robust asymptotical stability and stabilization for the addressed models are established, respectively. Finally, we give two numerical examples to verify the feasibility and effectiveness of the theoretical results. |
| format | Article |
| id | doaj-art-6a3c8bef7cbd43b3b8bcf3b3edd581a1 |
| institution | Kabale University |
| issn | 1607-887X |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-6a3c8bef7cbd43b3b8bcf3b3edd581a12025-02-03T01:03:40ZengWileyDiscrete Dynamics in Nature and Society1607-887X2021-01-01202110.1155/2021/5653791Robust Asymptotical Stability and Stabilization of Fractional-Order Complex-Valued Neural Networks with DelayJingjing Zeng0Xujun Yang1Lu Wang2Xiaofeng Chen3College of Mathematics and StatisticsCollege of Mathematics and StatisticsCollege of Mathematics and StatisticsCollege of Mathematics and StatisticsThe robust asymptotical stability and stabilization for a class of fractional-order complex-valued neural networks (FCNNs) with parametric uncertainties and time delay are considered in this paper. It is worth noting that our system combines complex numbers, uncertain parameters, time delay, and fractional orders, which is universal in practical application. Using the theorem of homeomorphism, the sufficient condition of the existence and uniqueness of the equilibrium point for the system is obtained. Then, the sufficient criteria of robust asymptotical stability and stabilization for the addressed models are established, respectively. Finally, we give two numerical examples to verify the feasibility and effectiveness of the theoretical results.http://dx.doi.org/10.1155/2021/5653791 |
| spellingShingle | Jingjing Zeng Xujun Yang Lu Wang Xiaofeng Chen Robust Asymptotical Stability and Stabilization of Fractional-Order Complex-Valued Neural Networks with Delay Discrete Dynamics in Nature and Society |
| title | Robust Asymptotical Stability and Stabilization of Fractional-Order Complex-Valued Neural Networks with Delay |
| title_full | Robust Asymptotical Stability and Stabilization of Fractional-Order Complex-Valued Neural Networks with Delay |
| title_fullStr | Robust Asymptotical Stability and Stabilization of Fractional-Order Complex-Valued Neural Networks with Delay |
| title_full_unstemmed | Robust Asymptotical Stability and Stabilization of Fractional-Order Complex-Valued Neural Networks with Delay |
| title_short | Robust Asymptotical Stability and Stabilization of Fractional-Order Complex-Valued Neural Networks with Delay |
| title_sort | robust asymptotical stability and stabilization of fractional order complex valued neural networks with delay |
| url | http://dx.doi.org/10.1155/2021/5653791 |
| work_keys_str_mv | AT jingjingzeng robustasymptoticalstabilityandstabilizationoffractionalordercomplexvaluedneuralnetworkswithdelay AT xujunyang robustasymptoticalstabilityandstabilizationoffractionalordercomplexvaluedneuralnetworkswithdelay AT luwang robustasymptoticalstabilityandstabilizationoffractionalordercomplexvaluedneuralnetworkswithdelay AT xiaofengchen robustasymptoticalstabilityandstabilizationoffractionalordercomplexvaluedneuralnetworkswithdelay |