Synchronization of Inertial Neural Networks with Time-Varying Delays
This paper addresses the synchronization problem for inertial neural networks with time-varying delay. By using a proper variable substitution to transform the original system into a first-order differential system, constructing the Lyapunov-Krasovskii functional( LKF) containing the Kronecker produ...
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| Format: | Article |
| Language: | English |
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Editorial Department of Journal of Nantong University (Natural Science Edition)
2020-03-01
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| Series: | Nantong Daxue xuebao. Ziran kexue ban |
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| Online Access: | https://ngzk.cbpt.cnki.net/portal/journal/portal/client/paper/NGZK_d8baa2dc-db2c-4da4-af14-964941eff39a |
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| _version_ | 1850170852218241024 |
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| author | LU Shuang;GAO Yanbo |
| author_facet | LU Shuang;GAO Yanbo |
| author_sort | LU Shuang;GAO Yanbo |
| collection | DOAJ |
| description | This paper addresses the synchronization problem for inertial neural networks with time-varying delay. By using a proper variable substitution to transform the original system into a first-order differential system, constructing the Lyapunov-Krasovskii functional( LKF) containing the Kronecker product of matrices, applying Jensen inequality, the reciprocally convex inequality and the linear matrix inequality( LMI) technique to estimate the derivative of the LKF, a novel synchronization criterion in terms of LMIs is obtained, and a design method for the error feedback controller is presented based on the synchronization criterion. And a numerical simulation example shows the effectiveness of the proposed results. |
| format | Article |
| id | doaj-art-dc0e815c65b44fa6b877d80b40214c19 |
| institution | OA Journals |
| issn | 1673-2340 |
| language | English |
| publishDate | 2020-03-01 |
| publisher | Editorial Department of Journal of Nantong University (Natural Science Edition) |
| record_format | Article |
| series | Nantong Daxue xuebao. Ziran kexue ban |
| spelling | doaj-art-dc0e815c65b44fa6b877d80b40214c192025-08-20T02:20:23ZengEditorial Department of Journal of Nantong University (Natural Science Edition)Nantong Daxue xuebao. Ziran kexue ban1673-23402020-03-011901839410.12194/j.ntu.20190402001Synchronization of Inertial Neural Networks with Time-Varying DelaysLU Shuang;GAO YanboThis paper addresses the synchronization problem for inertial neural networks with time-varying delay. By using a proper variable substitution to transform the original system into a first-order differential system, constructing the Lyapunov-Krasovskii functional( LKF) containing the Kronecker product of matrices, applying Jensen inequality, the reciprocally convex inequality and the linear matrix inequality( LMI) technique to estimate the derivative of the LKF, a novel synchronization criterion in terms of LMIs is obtained, and a design method for the error feedback controller is presented based on the synchronization criterion. And a numerical simulation example shows the effectiveness of the proposed results.https://ngzk.cbpt.cnki.net/portal/journal/portal/client/paper/NGZK_d8baa2dc-db2c-4da4-af14-964941eff39ainertial neural networkstime-varying delayssynchronizationcontroller design |
| spellingShingle | LU Shuang;GAO Yanbo Synchronization of Inertial Neural Networks with Time-Varying Delays Nantong Daxue xuebao. Ziran kexue ban inertial neural networks time-varying delays synchronization controller design |
| title | Synchronization of Inertial Neural Networks with Time-Varying Delays |
| title_full | Synchronization of Inertial Neural Networks with Time-Varying Delays |
| title_fullStr | Synchronization of Inertial Neural Networks with Time-Varying Delays |
| title_full_unstemmed | Synchronization of Inertial Neural Networks with Time-Varying Delays |
| title_short | Synchronization of Inertial Neural Networks with Time-Varying Delays |
| title_sort | synchronization of inertial neural networks with time varying delays |
| topic | inertial neural networks time-varying delays synchronization controller design |
| url | https://ngzk.cbpt.cnki.net/portal/journal/portal/client/paper/NGZK_d8baa2dc-db2c-4da4-af14-964941eff39a |
| work_keys_str_mv | AT lushuanggaoyanbo synchronizationofinertialneuralnetworkswithtimevaryingdelays |