Free-matrix-based time-dependent discontinuous Lyapunov functional for synchronization of delayed neural networks with sampled-data control
This paper is concerned with the synchronization of delayed neural networks via sampled-data control. A new technique, namely, the free-matrix-based time-dependent discontinuous Lyapunov functional approach, is adopted in constructing the Lyapunov functional, which takes advantage of the sampling ch...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
Institute of Physics Publishing Ltd.
2017
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| Online Access: | http://hdl.handle.net/20.500.11937/60636 |
| _version_ | 1848760621835747328 |
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| author | Wang, W. Zeng, H. Teo, Kok Lay |
| author_facet | Wang, W. Zeng, H. Teo, Kok Lay |
| author_sort | Wang, W. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper is concerned with the synchronization of delayed neural networks via sampled-data control. A new technique, namely, the free-matrix-based time-dependent discontinuous Lyapunov functional approach, is adopted in constructing the Lyapunov functional, which takes advantage of the sampling characteristic of sawtooth input delay. Based on this discontinuous Lyapunov functional, some less conservative synchronization criteria are established to ensure that the slave system is synchronous with the master system. The desired sampled-data controller can be obtained through the use of the linear matrix inequality (LMI) technique. Finally, two numerical examples are provided to demonstrate the effectiveness and the improvements of the proposed methods. |
| first_indexed | 2025-11-14T10:18:42Z |
| format | Journal Article |
| id | curtin-20.500.11937-60636 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:18:42Z |
| publishDate | 2017 |
| publisher | Institute of Physics Publishing Ltd. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-606362018-05-22T01:41:40Z Free-matrix-based time-dependent discontinuous Lyapunov functional for synchronization of delayed neural networks with sampled-data control Wang, W. Zeng, H. Teo, Kok Lay This paper is concerned with the synchronization of delayed neural networks via sampled-data control. A new technique, namely, the free-matrix-based time-dependent discontinuous Lyapunov functional approach, is adopted in constructing the Lyapunov functional, which takes advantage of the sampling characteristic of sawtooth input delay. Based on this discontinuous Lyapunov functional, some less conservative synchronization criteria are established to ensure that the slave system is synchronous with the master system. The desired sampled-data controller can be obtained through the use of the linear matrix inequality (LMI) technique. Finally, two numerical examples are provided to demonstrate the effectiveness and the improvements of the proposed methods. 2017 Journal Article http://hdl.handle.net/20.500.11937/60636 10.1088/1674-1056/26/11/110503 Institute of Physics Publishing Ltd. restricted |
| spellingShingle | Wang, W. Zeng, H. Teo, Kok Lay Free-matrix-based time-dependent discontinuous Lyapunov functional for synchronization of delayed neural networks with sampled-data control |
| title | Free-matrix-based time-dependent discontinuous Lyapunov functional for synchronization of delayed neural networks with sampled-data control |
| title_full | Free-matrix-based time-dependent discontinuous Lyapunov functional for synchronization of delayed neural networks with sampled-data control |
| title_fullStr | Free-matrix-based time-dependent discontinuous Lyapunov functional for synchronization of delayed neural networks with sampled-data control |
| title_full_unstemmed | Free-matrix-based time-dependent discontinuous Lyapunov functional for synchronization of delayed neural networks with sampled-data control |
| title_short | Free-matrix-based time-dependent discontinuous Lyapunov functional for synchronization of delayed neural networks with sampled-data control |
| title_sort | free-matrix-based time-dependent discontinuous lyapunov functional for synchronization of delayed neural networks with sampled-data control |
| url | http://hdl.handle.net/20.500.11937/60636 |