Globally Exponential Stability of Periodic Solutions to Impulsive Neural Networks with Time-Varying Delays
By using Schaeffer's theorem and Lyapunov functional, sufficient conditions of the existence and globally exponential stability of positive periodic solution to an impulsive neural network with time-varying delays are established. Applications, examples, and numerical analysis are given to illu...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/358362 |
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| _version_ | 1832551807733202944 |
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| author | Yuanfu Shao Changjin Xu Qianhong Zhang |
| author_facet | Yuanfu Shao Changjin Xu Qianhong Zhang |
| author_sort | Yuanfu Shao |
| collection | DOAJ |
| description | By using Schaeffer's theorem and Lyapunov functional, sufficient conditions of the existence and globally exponential stability of positive periodic solution to an impulsive neural network with time-varying delays are established. Applications, examples, and numerical analysis are given to illustrate the effectiveness of the main results. |
| format | Article |
| id | doaj-art-60a8ba85ad7c46b2b29ff800a0a5d8b4 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-60a8ba85ad7c46b2b29ff800a0a5d8b42025-02-03T06:00:28ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/358362358362Globally Exponential Stability of Periodic Solutions to Impulsive Neural Networks with Time-Varying DelaysYuanfu Shao0Changjin Xu1Qianhong Zhang2College of Science, Guilin University of Technology, Guangxi, Guilin 541004, ChinaGuizhou Key Laboratory of Economics System, Guizhou College of Finance and Economics, Guizhou, Guiyang 550004, ChinaGuizhou Key Laboratory of Economics System, Guizhou College of Finance and Economics, Guizhou, Guiyang 550004, ChinaBy using Schaeffer's theorem and Lyapunov functional, sufficient conditions of the existence and globally exponential stability of positive periodic solution to an impulsive neural network with time-varying delays are established. Applications, examples, and numerical analysis are given to illustrate the effectiveness of the main results.http://dx.doi.org/10.1155/2012/358362 |
| spellingShingle | Yuanfu Shao Changjin Xu Qianhong Zhang Globally Exponential Stability of Periodic Solutions to Impulsive Neural Networks with Time-Varying Delays Abstract and Applied Analysis |
| title | Globally Exponential Stability of Periodic Solutions to Impulsive Neural Networks with Time-Varying Delays |
| title_full | Globally Exponential Stability of Periodic Solutions to Impulsive Neural Networks with Time-Varying Delays |
| title_fullStr | Globally Exponential Stability of Periodic Solutions to Impulsive Neural Networks with Time-Varying Delays |
| title_full_unstemmed | Globally Exponential Stability of Periodic Solutions to Impulsive Neural Networks with Time-Varying Delays |
| title_short | Globally Exponential Stability of Periodic Solutions to Impulsive Neural Networks with Time-Varying Delays |
| title_sort | globally exponential stability of periodic solutions to impulsive neural networks with time varying delays |
| url | http://dx.doi.org/10.1155/2012/358362 |
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