Fixed-Time Synchronization of Delayed Memristive Neural Networks with Discontinuous Activations
In this paper, the fixed-time synchronization problem for a class of memristive neural networks with discontinuous neuron activation functions and mixed time-varying delays is investigated. With the help of the fixed-time stability theory, under the framework of Filippov solution and differential in...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/3350534 |
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| _version_ | 1832546086562037760 |
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| author | Hao Pu Fengjun Li |
| author_facet | Hao Pu Fengjun Li |
| author_sort | Hao Pu |
| collection | DOAJ |
| description | In this paper, the fixed-time synchronization problem for a class of memristive neural networks with discontinuous neuron activation functions and mixed time-varying delays is investigated. With the help of the fixed-time stability theory, under the framework of Filippov solution and differential inclusion theory, several new and useful sufficient criteria for fixed-time synchronization are obtained by designing two types of energy-saving and simple controllers for the considered systems. Compared with the traditional fixed-time synchronization controller, the controllers used in this paper only have one power exponent term, which is a function of the system state error rather than a constant. Moreover, some previous relevant works are especially improved. Finally, two numerical examples are given to show the correctness and the effectiveness of the obtained theoretical results. |
| format | Article |
| id | doaj-art-c49f56f4e7244238b87f77866d5c623a |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-c49f56f4e7244238b87f77866d5c623a2025-02-03T07:24:00ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/33505343350534Fixed-Time Synchronization of Delayed Memristive Neural Networks with Discontinuous ActivationsHao Pu0Fengjun Li1School of Mathematics and Statistics, Ningxia University, Yinchuan 750021, Ningxia, ChinaSchool of Mathematics and Statistics, Ningxia University, Yinchuan 750021, Ningxia, ChinaIn this paper, the fixed-time synchronization problem for a class of memristive neural networks with discontinuous neuron activation functions and mixed time-varying delays is investigated. With the help of the fixed-time stability theory, under the framework of Filippov solution and differential inclusion theory, several new and useful sufficient criteria for fixed-time synchronization are obtained by designing two types of energy-saving and simple controllers for the considered systems. Compared with the traditional fixed-time synchronization controller, the controllers used in this paper only have one power exponent term, which is a function of the system state error rather than a constant. Moreover, some previous relevant works are especially improved. Finally, two numerical examples are given to show the correctness and the effectiveness of the obtained theoretical results.http://dx.doi.org/10.1155/2021/3350534 |
| spellingShingle | Hao Pu Fengjun Li Fixed-Time Synchronization of Delayed Memristive Neural Networks with Discontinuous Activations Journal of Mathematics |
| title | Fixed-Time Synchronization of Delayed Memristive Neural Networks with Discontinuous Activations |
| title_full | Fixed-Time Synchronization of Delayed Memristive Neural Networks with Discontinuous Activations |
| title_fullStr | Fixed-Time Synchronization of Delayed Memristive Neural Networks with Discontinuous Activations |
| title_full_unstemmed | Fixed-Time Synchronization of Delayed Memristive Neural Networks with Discontinuous Activations |
| title_short | Fixed-Time Synchronization of Delayed Memristive Neural Networks with Discontinuous Activations |
| title_sort | fixed time synchronization of delayed memristive neural networks with discontinuous activations |
| url | http://dx.doi.org/10.1155/2021/3350534 |
| work_keys_str_mv | AT haopu fixedtimesynchronizationofdelayedmemristiveneuralnetworkswithdiscontinuousactivations AT fengjunli fixedtimesynchronizationofdelayedmemristiveneuralnetworkswithdiscontinuousactivations |