Exponential Convergence for Cellular Neural Networks with Time-Varying Delays in the Leakage Terms
We consider a class of cellular neural networks with time-varying delays in the leakage terms. By applying Lyapunov functional method and differential inequality techniques, we establish new results to ensure that all solutions of the networks converge exponentially to zero point.
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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/10.1155/2012/941063 |
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| _version_ | 1832551652525080576 |
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| author | Zhibin Chen Junxia Meng |
| author_facet | Zhibin Chen Junxia Meng |
| author_sort | Zhibin Chen |
| collection | DOAJ |
| description | We consider a class of cellular neural networks with time-varying delays in the leakage terms. By applying Lyapunov functional method and differential
inequality techniques, we establish new results to ensure that all solutions of the networks
converge exponentially to zero point. |
| format | Article |
| id | doaj-art-23e362286fd64a46a2da0ff2db2313eb |
| 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-23e362286fd64a46a2da0ff2db2313eb2025-02-03T06:00:52ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/941063941063Exponential Convergence for Cellular Neural Networks with Time-Varying Delays in the Leakage TermsZhibin Chen0Junxia Meng1School of Science, Hunan University of Technology, Hunan, Zhuzhou 412000, ChinaCollege of Mathematics, Physics and Information Engineering, Jiaxing University, Zhejiang, Jiaxing 314001, ChinaWe consider a class of cellular neural networks with time-varying delays in the leakage terms. By applying Lyapunov functional method and differential inequality techniques, we establish new results to ensure that all solutions of the networks converge exponentially to zero point.http://dx.doi.org/10.1155/2012/941063 |
| spellingShingle | Zhibin Chen Junxia Meng Exponential Convergence for Cellular Neural Networks with Time-Varying Delays in the Leakage Terms Abstract and Applied Analysis |
| title | Exponential Convergence for Cellular Neural Networks with Time-Varying Delays in the Leakage Terms |
| title_full | Exponential Convergence for Cellular Neural Networks with Time-Varying Delays in the Leakage Terms |
| title_fullStr | Exponential Convergence for Cellular Neural Networks with Time-Varying Delays in the Leakage Terms |
| title_full_unstemmed | Exponential Convergence for Cellular Neural Networks with Time-Varying Delays in the Leakage Terms |
| title_short | Exponential Convergence for Cellular Neural Networks with Time-Varying Delays in the Leakage Terms |
| title_sort | exponential convergence for cellular neural networks with time varying delays in the leakage terms |
| url | http://dx.doi.org/10.1155/2012/941063 |
| work_keys_str_mv | AT zhibinchen exponentialconvergenceforcellularneuralnetworkswithtimevaryingdelaysintheleakageterms AT junxiameng exponentialconvergenceforcellularneuralnetworkswithtimevaryingdelaysintheleakageterms |