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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Main Authors: Ting Lei, Qiankun Song, Zhenjiang Zhao, Jianxi Yang
Format: Article
Language:English
Published: Wiley 2013-01-01
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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AT zhenjiangzhao synchronizationofchaoticneuralnetworkswithleakagedelayandmixedtimevaryingdelaysviasampleddatacontrol
AT jianxiyang synchronizationofchaoticneuralnetworkswithleakagedelayandmixedtimevaryingdelaysviasampleddatacontrol