Robust Exponential Stability of Impulsive Stochastic Neural Networks with Leakage Time-Varying Delay
This paper investigates mean-square robust exponential stability of the equilibrium point of stochastic neural networks with leakage time-varying delays and impulsive perturbations. By using Lyapunov functions and Razumikhin techniques, some easy-to-test criteria of the stability are derived. Two ex...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/831027 |
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| _version_ | 1832549575091552256 |
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| author | Chunge Lu Linshan Wang |
| author_facet | Chunge Lu Linshan Wang |
| author_sort | Chunge Lu |
| collection | DOAJ |
| description | This paper investigates mean-square robust exponential stability of the equilibrium point of stochastic neural networks with leakage time-varying delays and impulsive perturbations. By using Lyapunov functions and Razumikhin techniques, some easy-to-test criteria of the stability are derived. Two examples are provided to illustrate the efficiency of the results. |
| format | Article |
| id | doaj-art-53ea445d0c304255b7073becaed09e87 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-53ea445d0c304255b7073becaed09e872025-02-03T06:11:00ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/831027831027Robust Exponential Stability of Impulsive Stochastic Neural Networks with Leakage Time-Varying DelayChunge Lu0Linshan Wang1College of Mathematical Science, Ocean University of China, Qingdao 266100, ChinaCollege of Mathematical Science, Ocean University of China, Qingdao 266100, ChinaThis paper investigates mean-square robust exponential stability of the equilibrium point of stochastic neural networks with leakage time-varying delays and impulsive perturbations. By using Lyapunov functions and Razumikhin techniques, some easy-to-test criteria of the stability are derived. Two examples are provided to illustrate the efficiency of the results.http://dx.doi.org/10.1155/2014/831027 |
| spellingShingle | Chunge Lu Linshan Wang Robust Exponential Stability of Impulsive Stochastic Neural Networks with Leakage Time-Varying Delay Abstract and Applied Analysis |
| title | Robust Exponential Stability of Impulsive Stochastic Neural Networks with Leakage Time-Varying Delay |
| title_full | Robust Exponential Stability of Impulsive Stochastic Neural Networks with Leakage Time-Varying Delay |
| title_fullStr | Robust Exponential Stability of Impulsive Stochastic Neural Networks with Leakage Time-Varying Delay |
| title_full_unstemmed | Robust Exponential Stability of Impulsive Stochastic Neural Networks with Leakage Time-Varying Delay |
| title_short | Robust Exponential Stability of Impulsive Stochastic Neural Networks with Leakage Time-Varying Delay |
| title_sort | robust exponential stability of impulsive stochastic neural networks with leakage time varying delay |
| url | http://dx.doi.org/10.1155/2014/831027 |
| work_keys_str_mv | AT chungelu robustexponentialstabilityofimpulsivestochasticneuralnetworkswithleakagetimevaryingdelay AT linshanwang robustexponentialstabilityofimpulsivestochasticneuralnetworkswithleakagetimevaryingdelay |