Global exponential stability of impulsive discrete-time neural networks with time-varying delays
This paper studies the problem of global exponential stability and exponential convergence rate for a class of impulsive discrete-time neural networks with time-varying delays. Firstly, by means of the Lyapunov stability theory, some inequality analysis techniques and a discrete-time Halanay-type in...
| Main Authors: | , , |
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| Format: | Journal Article |
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Elsevier
2010
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| Online Access: | http://hdl.handle.net/20.500.11937/16829 |
| _version_ | 1848749289051783168 |
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| author | Xu, Honglei Chen, Y. Teo, Kok Lay |
| author_facet | Xu, Honglei Chen, Y. Teo, Kok Lay |
| author_sort | Xu, Honglei |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper studies the problem of global exponential stability and exponential convergence rate for a class of impulsive discrete-time neural networks with time-varying delays. Firstly, by means of the Lyapunov stability theory, some inequality analysis techniques and a discrete-time Halanay-type inequality technique, sufficient conditions for ensuring global exponential stability of discrete-time neural networks are derived, and the estimated exponential convergence rate is provided as well. The obtained results are then applied to derive global exponential stability criteria and exponential convergence rate of impulsive discrete-time neural networks with time-varying delays. Finally, numerical examples are provided to illustrate the effectiveness and usefulness of the obtained criteria. |
| first_indexed | 2025-11-14T07:18:34Z |
| format | Journal Article |
| id | curtin-20.500.11937-16829 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:18:34Z |
| publishDate | 2010 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-168292019-02-19T04:27:47Z Global exponential stability of impulsive discrete-time neural networks with time-varying delays Xu, Honglei Chen, Y. Teo, Kok Lay Exponential convergence rate Global exponential stability Halanay inequality Impulsive discrete-time neural networks This paper studies the problem of global exponential stability and exponential convergence rate for a class of impulsive discrete-time neural networks with time-varying delays. Firstly, by means of the Lyapunov stability theory, some inequality analysis techniques and a discrete-time Halanay-type inequality technique, sufficient conditions for ensuring global exponential stability of discrete-time neural networks are derived, and the estimated exponential convergence rate is provided as well. The obtained results are then applied to derive global exponential stability criteria and exponential convergence rate of impulsive discrete-time neural networks with time-varying delays. Finally, numerical examples are provided to illustrate the effectiveness and usefulness of the obtained criteria. 2010 Journal Article http://hdl.handle.net/20.500.11937/16829 10.1016/j.amc.2010.05.087 Elsevier fulltext |
| spellingShingle | Exponential convergence rate Global exponential stability Halanay inequality Impulsive discrete-time neural networks Xu, Honglei Chen, Y. Teo, Kok Lay Global exponential stability of impulsive discrete-time neural networks with time-varying delays |
| title | Global exponential stability of impulsive discrete-time neural networks with time-varying delays |
| title_full | Global exponential stability of impulsive discrete-time neural networks with time-varying delays |
| title_fullStr | Global exponential stability of impulsive discrete-time neural networks with time-varying delays |
| title_full_unstemmed | Global exponential stability of impulsive discrete-time neural networks with time-varying delays |
| title_short | Global exponential stability of impulsive discrete-time neural networks with time-varying delays |
| title_sort | global exponential stability of impulsive discrete-time neural networks with time-varying delays |
| topic | Exponential convergence rate Global exponential stability Halanay inequality Impulsive discrete-time neural networks |
| url | http://hdl.handle.net/20.500.11937/16829 |