A new stability criterion of neutral neural networks with time-varying delays
In this paper, we study the global stability problem for neutral neural networks with time delays. Firstly, we extend the existing neutral networks to a much general class of such networks. Then, by constructing suitable Lyapunov-Krasovskii-type functionals and using linear matrix inequality (LMI) o...
| Main Authors: | , , , |
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| Format: | Conference Paper |
| Published: |
2016
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| Online Access: | http://hdl.handle.net/20.500.11937/53984 |
| _version_ | 1848759274966089728 |
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| author | Luo, R. Xu, H. Wang, W. Wang, Xiangyu |
| author_facet | Luo, R. Xu, H. Wang, W. Wang, Xiangyu |
| author_sort | Luo, R. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we study the global stability problem for neutral neural networks with time delays. Firstly, we extend the existing neutral networks to a much general class of such networks. Then, by constructing suitable Lyapunov-Krasovskii-type functionals and using linear matrix inequality (LMI) optimization techniques, we obtain new sufficient conditions for global asymptotic stability of the neural networks. The obtained results are related to some positive real-value parameters rather than positive symmetric matrices which are much complicated computationally. Finally, we demonstrate the results' validity via a numerical example and its simulations. |
| first_indexed | 2025-11-14T09:57:17Z |
| format | Conference Paper |
| id | curtin-20.500.11937-53984 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:57:17Z |
| publishDate | 2016 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-539842017-12-11T08:16:44Z A new stability criterion of neutral neural networks with time-varying delays Luo, R. Xu, H. Wang, W. Wang, Xiangyu In this paper, we study the global stability problem for neutral neural networks with time delays. Firstly, we extend the existing neutral networks to a much general class of such networks. Then, by constructing suitable Lyapunov-Krasovskii-type functionals and using linear matrix inequality (LMI) optimization techniques, we obtain new sufficient conditions for global asymptotic stability of the neural networks. The obtained results are related to some positive real-value parameters rather than positive symmetric matrices which are much complicated computationally. Finally, we demonstrate the results' validity via a numerical example and its simulations. 2016 Conference Paper http://hdl.handle.net/20.500.11937/53984 restricted |
| spellingShingle | Luo, R. Xu, H. Wang, W. Wang, Xiangyu A new stability criterion of neutral neural networks with time-varying delays |
| title | A new stability criterion of neutral neural networks with time-varying delays |
| title_full | A new stability criterion of neutral neural networks with time-varying delays |
| title_fullStr | A new stability criterion of neutral neural networks with time-varying delays |
| title_full_unstemmed | A new stability criterion of neutral neural networks with time-varying delays |
| title_short | A new stability criterion of neutral neural networks with time-varying delays |
| title_sort | new stability criterion of neutral neural networks with time-varying delays |
| url | http://hdl.handle.net/20.500.11937/53984 |