Synchronization of Chaotic Neural Networks with Leakage Delay and Mixed Time-Varying Delays via Sampled-Data Control
This paper investigates the synchronization problem for neural networks with leakage delay and both discrete and distributed time-varying delays under sampled-data control. By employing the Lyapunov functional method and using the matrix inequality techniques, a delay-dependent LMIs criterion is giv...
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2013-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2013/290574 |
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author | Ting Lei Qiankun Song Zhenjiang Zhao Jianxi Yang |
author_facet | Ting Lei Qiankun Song Zhenjiang Zhao Jianxi Yang |
author_sort | Ting Lei |
collection | DOAJ |
description | This paper investigates the synchronization problem for neural networks with leakage delay and both discrete and distributed time-varying delays under sampled-data control. By employing the Lyapunov functional method and using the matrix inequality techniques, a delay-dependent LMIs criterion is given to ensure that the master systems and the slave systems are synchronous. An example with simulations is given to show the effectiveness of the proposed criterion. |
format | Article |
id | doaj-art-730275e530234a2786987323fee68b74 |
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-730275e530234a2786987323fee68b742025-02-03T05:54:29ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/290574290574Synchronization of Chaotic Neural Networks with Leakage Delay and Mixed Time-Varying Delays via Sampled-Data ControlTing Lei0Qiankun Song1Zhenjiang Zhao2Jianxi Yang3Department of Mathematics, Chongqing Jiaotong University, Chongqing 400074, ChinaDepartment of Mathematics, Chongqing Jiaotong University, Chongqing 400074, ChinaDepartment of Mathematics, Huzhou Teachers College, Huzhou 313000, ChinaCollege of Information Science and Engineering, Chongqing Jiaotong University, Chongqing 400074, ChinaThis paper investigates the synchronization problem for neural networks with leakage delay and both discrete and distributed time-varying delays under sampled-data control. By employing the Lyapunov functional method and using the matrix inequality techniques, a delay-dependent LMIs criterion is given to ensure that the master systems and the slave systems are synchronous. An example with simulations is given to show the effectiveness of the proposed criterion.http://dx.doi.org/10.1155/2013/290574 |
spellingShingle | Ting Lei Qiankun Song Zhenjiang Zhao Jianxi Yang Synchronization of Chaotic Neural Networks with Leakage Delay and Mixed Time-Varying Delays via Sampled-Data Control Abstract and Applied Analysis |
title | Synchronization of Chaotic Neural Networks with Leakage Delay and Mixed Time-Varying Delays via Sampled-Data Control |
title_full | Synchronization of Chaotic Neural Networks with Leakage Delay and Mixed Time-Varying Delays via Sampled-Data Control |
title_fullStr | Synchronization of Chaotic Neural Networks with Leakage Delay and Mixed Time-Varying Delays via Sampled-Data Control |
title_full_unstemmed | Synchronization of Chaotic Neural Networks with Leakage Delay and Mixed Time-Varying Delays via Sampled-Data Control |
title_short | Synchronization of Chaotic Neural Networks with Leakage Delay and Mixed Time-Varying Delays via Sampled-Data Control |
title_sort | synchronization of chaotic neural networks with leakage delay and mixed time varying delays via sampled data control |
url | http://dx.doi.org/10.1155/2013/290574 |
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