Global exponential synchronization of quaternion-valued memristive neural networks with time delays
This paper extends the memristive neural networks (MNNs) to quaternion field, a new class of neural networks named quaternion-valued memristive neural networks (QVMNNs) is then established, and the problem of drive-response global synchronization of this type of networks is investigated in this pape...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2020-01-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/15724 |
| _version_ | 1819024203212390400 |
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| author | Ruoyu Wei Jinde Cao |
| author_facet | Ruoyu Wei Jinde Cao |
| author_sort | Ruoyu Wei |
| collection | DOAJ |
| description | This paper extends the memristive neural networks (MNNs) to quaternion field, a new class of neural networks named quaternion-valued memristive neural networks (QVMNNs) is then established, and the problem of drive-response global synchronization of this type of networks is investigated in this paper. Two cases are taken into consideration: one is with the conventional differential inclusion assumption, the other without. Criteria for the global synchronization of these two cases are achieved respectively by appropriately choosing the Lyapunov functional and applying some inequality techniques. Finally, corresponding simulation examples are presented to demonstrate the correctness of the proposed results derived in this paper. |
| first_indexed | 2024-12-21T04:51:03Z |
| format | Article |
| id | doaj.art-c2726e473bd146f39a5d0e5add9de71c |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-12-21T04:51:03Z |
| publishDate | 2020-01-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-c2726e473bd146f39a5d0e5add9de71c2022-12-21T19:15:27ZengVilnius University PressNonlinear Analysis1392-51132335-89632020-01-0125110.15388/namc.2020.25.15724Global exponential synchronization of quaternion-valued memristive neural networks with time delaysRuoyu Wei0Jinde Cao1Southeast UniversitySoutheast UniversityThis paper extends the memristive neural networks (MNNs) to quaternion field, a new class of neural networks named quaternion-valued memristive neural networks (QVMNNs) is then established, and the problem of drive-response global synchronization of this type of networks is investigated in this paper. Two cases are taken into consideration: one is with the conventional differential inclusion assumption, the other without. Criteria for the global synchronization of these two cases are achieved respectively by appropriately choosing the Lyapunov functional and applying some inequality techniques. Finally, corresponding simulation examples are presented to demonstrate the correctness of the proposed results derived in this paper.https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/15724memristorexponential synchronizationdrive-response systemsquaterniontime delay |
| spellingShingle | Ruoyu Wei Jinde Cao Global exponential synchronization of quaternion-valued memristive neural networks with time delays Nonlinear Analysis memristor exponential synchronization drive-response systems quaternion time delay |
| title | Global exponential synchronization of quaternion-valued memristive neural networks with time delays |
| title_full | Global exponential synchronization of quaternion-valued memristive neural networks with time delays |
| title_fullStr | Global exponential synchronization of quaternion-valued memristive neural networks with time delays |
| title_full_unstemmed | Global exponential synchronization of quaternion-valued memristive neural networks with time delays |
| title_short | Global exponential synchronization of quaternion-valued memristive neural networks with time delays |
| title_sort | global exponential synchronization of quaternion valued memristive neural networks with time delays |
| topic | memristor exponential synchronization drive-response systems quaternion time delay |
| url | https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/15724 |
| work_keys_str_mv | AT ruoyuwei globalexponentialsynchronizationofquaternionvaluedmemristiveneuralnetworkswithtimedelays AT jindecao globalexponentialsynchronizationofquaternionvaluedmemristiveneuralnetworkswithtimedelays |