Adaptive Synchronization of Fractional Neural Networks with Unknown Parameters and Time Delays

In this paper, the parameters identification and synchronization problem of fractional-order neural networks with time delays are investigated. Based on some analytical techniques and an adaptive control method, a simple adaptive synchronization controller and parameter update laws are designed to s...

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Main Authors:	Weiyuan Ma, Changpin Li, Yujiang Wu, Yongqing Wu
Format:	Article
Language:	English
Published:	MDPI AG 2014-12-01
Series:	Entropy
Subjects:	fractional neural networks synchronization adaptive control parameters identification time delays
Online Access:	http://www.mdpi.com/1099-4300/16/12/6286

id	doaj-21a887926ef64cc4975acdde66ad8226
record_format	Article
spelling	doaj-21a887926ef64cc4975acdde66ad82262020-11-25T01:06:12ZengMDPI AGEntropy1099-43002014-12-0116126286629910.3390/e16126286e16126286Adaptive Synchronization of Fractional Neural Networks with Unknown Parameters and Time DelaysWeiyuan Ma0Changpin Li1Yujiang Wu2Yongqing Wu3School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, ChinaDepartment of Mathematics, Shanghai University, Shanghai 200444, ChinaSchool of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, ChinaBasic Teaching Department, Liaoning Technical University, Huludao 125105, ChinaIn this paper, the parameters identification and synchronization problem of fractional-order neural networks with time delays are investigated. Based on some analytical techniques and an adaptive control method, a simple adaptive synchronization controller and parameter update laws are designed to synchronize two uncertain complex networks with time delays. Besides, the system parameters in the uncertain network can be identified in the process of synchronization. To demonstrate the validity of the proposed method, several illustrative examples are presented.http://www.mdpi.com/1099-4300/16/12/6286fractional neural networkssynchronizationadaptive controlparameters identificationtime delays
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Weiyuan Ma Changpin Li Yujiang Wu Yongqing Wu
spellingShingle	Weiyuan Ma Changpin Li Yujiang Wu Yongqing Wu Adaptive Synchronization of Fractional Neural Networks with Unknown Parameters and Time Delays Entropy fractional neural networks synchronization adaptive control parameters identification time delays
author_facet	Weiyuan Ma Changpin Li Yujiang Wu Yongqing Wu
author_sort	Weiyuan Ma
title	Adaptive Synchronization of Fractional Neural Networks with Unknown Parameters and Time Delays
title_short	Adaptive Synchronization of Fractional Neural Networks with Unknown Parameters and Time Delays
title_full	Adaptive Synchronization of Fractional Neural Networks with Unknown Parameters and Time Delays
title_fullStr	Adaptive Synchronization of Fractional Neural Networks with Unknown Parameters and Time Delays
title_full_unstemmed	Adaptive Synchronization of Fractional Neural Networks with Unknown Parameters and Time Delays
title_sort	adaptive synchronization of fractional neural networks with unknown parameters and time delays
publisher	MDPI AG
series	Entropy
issn	1099-4300
publishDate	2014-12-01
description	In this paper, the parameters identification and synchronization problem of fractional-order neural networks with time delays are investigated. Based on some analytical techniques and an adaptive control method, a simple adaptive synchronization controller and parameter update laws are designed to synchronize two uncertain complex networks with time delays. Besides, the system parameters in the uncertain network can be identified in the process of synchronization. To demonstrate the validity of the proposed method, several illustrative examples are presented.
topic	fractional neural networks synchronization adaptive control parameters identification time delays
url	http://www.mdpi.com/1099-4300/16/12/6286
work_keys_str_mv	AT weiyuanma adaptivesynchronizationoffractionalneuralnetworkswithunknownparametersandtimedelays AT changpinli adaptivesynchronizationoffractionalneuralnetworkswithunknownparametersandtimedelays AT yujiangwu adaptivesynchronizationoffractionalneuralnetworkswithunknownparametersandtimedelays AT yongqingwu adaptivesynchronizationoffractionalneuralnetworkswithunknownparametersandtimedelays
_version_	1725190870046605312

Adaptive Synchronization of Fractional Neural Networks with Unknown Parameters and Time Delays

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