Periodic Solution for Impulsive Cellar Neural Networks with Time-Varying Delays in the Leakage Terms
This paper is concerned with impulsive cellular neural networks with time-varying delays in leakage terms. Without assuming bounded and monotone conditions on activation functions, we establish sufficient conditions on existence and exponential stability of periodic solutions by using Lyapunov funct...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/701087 |
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| _version_ | 1832559206020939776 |
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| author | Bingwen Liu Shuhua Gong |
| author_facet | Bingwen Liu Shuhua Gong |
| author_sort | Bingwen Liu |
| collection | DOAJ |
| description | This paper is concerned with impulsive cellular neural networks with time-varying delays in leakage terms. Without assuming bounded and monotone conditions on activation functions, we establish sufficient conditions on existence and exponential stability of periodic solutions by using Lyapunov functional method and differential inequality techniques. Our results are complement to some recent ones. |
| format | Article |
| id | doaj-art-51addff7a3314b0c8815bdfe0cb9ccf3 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-51addff7a3314b0c8815bdfe0cb9ccf32025-02-03T01:30:38ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/701087701087Periodic Solution for Impulsive Cellar Neural Networks with Time-Varying Delays in the Leakage TermsBingwen Liu0Shuhua Gong1College of Mathematics and Computer Science, Hunan University of Arts and Science, Changde, Hunan 415000, ChinaCollege of Mathematics, Physics and Information Engineering, Jiaxing University, Jiaxing, Zhejiang 314001, ChinaThis paper is concerned with impulsive cellular neural networks with time-varying delays in leakage terms. Without assuming bounded and monotone conditions on activation functions, we establish sufficient conditions on existence and exponential stability of periodic solutions by using Lyapunov functional method and differential inequality techniques. Our results are complement to some recent ones.http://dx.doi.org/10.1155/2013/701087 |
| spellingShingle | Bingwen Liu Shuhua Gong Periodic Solution for Impulsive Cellar Neural Networks with Time-Varying Delays in the Leakage Terms Abstract and Applied Analysis |
| title | Periodic Solution for Impulsive Cellar Neural Networks with Time-Varying Delays in the Leakage Terms |
| title_full | Periodic Solution for Impulsive Cellar Neural Networks with Time-Varying Delays in the Leakage Terms |
| title_fullStr | Periodic Solution for Impulsive Cellar Neural Networks with Time-Varying Delays in the Leakage Terms |
| title_full_unstemmed | Periodic Solution for Impulsive Cellar Neural Networks with Time-Varying Delays in the Leakage Terms |
| title_short | Periodic Solution for Impulsive Cellar Neural Networks with Time-Varying Delays in the Leakage Terms |
| title_sort | periodic solution for impulsive cellar neural networks with time varying delays in the leakage terms |
| url | http://dx.doi.org/10.1155/2013/701087 |
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