Impulsive Stabilization for a Class of Neural Networks with Both Time-Varying and Distributed Delays
The impulsive control method is developed to stabilize a class of neural networks with both time-varying and distributed delays. Some exponential stability criteria are obtained by using Lyapunov functionals, stability theory, and control by impulses. A numerical example is also provided to show the...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2009-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://dx.doi.org/10.1155/2009/859832 |
| _version_ | 1818758961586765824 |
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| author | Lizi Yin Xiaodi Li |
| author_facet | Lizi Yin Xiaodi Li |
| author_sort | Lizi Yin |
| collection | DOAJ |
| description | The impulsive control method is developed to stabilize a class of neural networks with both time-varying and distributed delays. Some exponential stability criteria are obtained by using Lyapunov functionals, stability theory, and control by impulses. A numerical example is also provided to show the effectiveness and feasibility of the impulsive control method. |
| first_indexed | 2024-12-18T06:35:09Z |
| format | Article |
| id | doaj.art-589934da1f9542649560edae5e287665 |
| institution | Directory Open Access Journal |
| issn | 1687-1839 1687-1847 |
| language | English |
| last_indexed | 2024-12-18T06:35:09Z |
| publishDate | 2009-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-589934da1f9542649560edae5e2876652022-12-21T21:17:48ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472009-01-01200910.1155/2009/859832Impulsive Stabilization for a Class of Neural Networks with Both Time-Varying and Distributed DelaysLizi YinXiaodi LiThe impulsive control method is developed to stabilize a class of neural networks with both time-varying and distributed delays. Some exponential stability criteria are obtained by using Lyapunov functionals, stability theory, and control by impulses. A numerical example is also provided to show the effectiveness and feasibility of the impulsive control method.http://dx.doi.org/10.1155/2009/859832 |
| spellingShingle | Lizi Yin Xiaodi Li Impulsive Stabilization for a Class of Neural Networks with Both Time-Varying and Distributed Delays Advances in Difference Equations |
| title | Impulsive Stabilization for a Class of Neural Networks with Both Time-Varying and Distributed Delays |
| title_full | Impulsive Stabilization for a Class of Neural Networks with Both Time-Varying and Distributed Delays |
| title_fullStr | Impulsive Stabilization for a Class of Neural Networks with Both Time-Varying and Distributed Delays |
| title_full_unstemmed | Impulsive Stabilization for a Class of Neural Networks with Both Time-Varying and Distributed Delays |
| title_short | Impulsive Stabilization for a Class of Neural Networks with Both Time-Varying and Distributed Delays |
| title_sort | impulsive stabilization for a class of neural networks with both time varying and distributed delays |
| url | http://dx.doi.org/10.1155/2009/859832 |
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