Finite-Time Synchronizing Control for Chaotic Neural Networks

This paper addresses the finite-time synchronizing problem for a class of chaotic neural networks. In a real communication network, parameters of the master system may be time-varying and the system may be perturbed by external disturbances. A simple high-gain observer is designed to track all the n...

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Main Authors: Chao Zhang, Qiang Guo, Jing Wang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/938612
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author Chao Zhang
Qiang Guo
Jing Wang
author_facet Chao Zhang
Qiang Guo
Jing Wang
author_sort Chao Zhang
collection DOAJ
description This paper addresses the finite-time synchronizing problem for a class of chaotic neural networks. In a real communication network, parameters of the master system may be time-varying and the system may be perturbed by external disturbances. A simple high-gain observer is designed to track all the nonlinearities, unknown system functions, and disturbances. Then, a dynamic active compensatory controller is proposed and by using the singular perturbation theory, the control method can guarantee the finite-time stability of the error system between the master system and the slave system. Finally, two illustrative examples are provided to show the effectiveness and applicability of the proposed scheme.
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2014-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-13d7cd007fb245828cc9a23a669127a32025-02-03T06:13:39ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/938612938612Finite-Time Synchronizing Control for Chaotic Neural NetworksChao Zhang0Qiang Guo1Jing Wang2National Engineering Research Center of Advanced Rolling, University of Science and Technology Beijing, Beijing 100083, ChinaNational Engineering Research Center of Advanced Rolling, University of Science and Technology Beijing, Beijing 100083, ChinaNational Engineering Research Center of Advanced Rolling, University of Science and Technology Beijing, Beijing 100083, ChinaThis paper addresses the finite-time synchronizing problem for a class of chaotic neural networks. In a real communication network, parameters of the master system may be time-varying and the system may be perturbed by external disturbances. A simple high-gain observer is designed to track all the nonlinearities, unknown system functions, and disturbances. Then, a dynamic active compensatory controller is proposed and by using the singular perturbation theory, the control method can guarantee the finite-time stability of the error system between the master system and the slave system. Finally, two illustrative examples are provided to show the effectiveness and applicability of the proposed scheme.http://dx.doi.org/10.1155/2014/938612
spellingShingle Chao Zhang
Qiang Guo
Jing Wang
Finite-Time Synchronizing Control for Chaotic Neural Networks
Abstract and Applied Analysis
title Finite-Time Synchronizing Control for Chaotic Neural Networks
title_full Finite-Time Synchronizing Control for Chaotic Neural Networks
title_fullStr Finite-Time Synchronizing Control for Chaotic Neural Networks
title_full_unstemmed Finite-Time Synchronizing Control for Chaotic Neural Networks
title_short Finite-Time Synchronizing Control for Chaotic Neural Networks
title_sort finite time synchronizing control for chaotic neural networks
url http://dx.doi.org/10.1155/2014/938612
work_keys_str_mv AT chaozhang finitetimesynchronizingcontrolforchaoticneuralnetworks
AT qiangguo finitetimesynchronizingcontrolforchaoticneuralnetworks
AT jingwang finitetimesynchronizingcontrolforchaoticneuralnetworks