Adaptive Synchronization via State Predictor on General Complex Dynamic Networks

Adaptive Synchronization via State Predictor on General Complex Dynamic Networks

This paper considers the adaptive synchronization of general complex dynamic networks via state predictor based on the fixed topology for nonlinear dynamical systems. Using Lyapunov stability properties, it is proved that the complex dynamical networks with state predictor are asymptotically stable....

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Main Authors: Lijun Wang, Pingnan Ruan, Shuang Li, Xiao Han
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2015/415734
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spelling doaj-795bfae8c2d445969482151ce67863a92020-11-24T23:37:54ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472015-01-01201510.1155/2015/415734415734Adaptive Synchronization via State Predictor on General Complex Dynamic NetworksLijun Wang0Pingnan Ruan1Shuang Li2Xiao Han3School of Economics and Management, Beijing University of Technology, Beijing 100022, ChinaSchool of Economics and Management, Beijing University of Technology, Beijing 100022, ChinaCollege of Science, North China University of Technology, Beijing 100144, ChinaCollege of Science, North China University of Technology, Beijing 100144, ChinaThis paper considers the adaptive synchronization of general complex dynamic networks via state predictor based on the fixed topology for nonlinear dynamical systems. Using Lyapunov stability properties, it is proved that the complex dynamical networks with state predictor are asymptotically stable. Moreover, it is also shown that the rate of convergence of complex dynamical networks with state predictor is faster than the complex dynamical networks without state predictor.http://dx.doi.org/10.1155/2015/415734
collection DOAJ
language English
format Article
sources DOAJ
author Lijun Wang
Pingnan Ruan
Shuang Li
Xiao Han
spellingShingle Lijun Wang
Pingnan Ruan
Shuang Li
Xiao Han
Adaptive Synchronization via State Predictor on General Complex Dynamic Networks
Mathematical Problems in Engineering
author_facet Lijun Wang
Pingnan Ruan
Shuang Li
Xiao Han
author_sort Lijun Wang
title Adaptive Synchronization via State Predictor on General Complex Dynamic Networks
title_short Adaptive Synchronization via State Predictor on General Complex Dynamic Networks
title_full Adaptive Synchronization via State Predictor on General Complex Dynamic Networks
title_fullStr Adaptive Synchronization via State Predictor on General Complex Dynamic Networks
title_full_unstemmed Adaptive Synchronization via State Predictor on General Complex Dynamic Networks
title_sort adaptive synchronization via state predictor on general complex dynamic networks
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2015-01-01
description This paper considers the adaptive synchronization of general complex dynamic networks via state predictor based on the fixed topology for nonlinear dynamical systems. Using Lyapunov stability properties, it is proved that the complex dynamical networks with state predictor are asymptotically stable. Moreover, it is also shown that the rate of convergence of complex dynamical networks with state predictor is faster than the complex dynamical networks without state predictor.
url http://dx.doi.org/10.1155/2015/415734
work_keys_str_mv AT lijunwang adaptivesynchronizationviastatepredictorongeneralcomplexdynamicnetworks
AT pingnanruan adaptivesynchronizationviastatepredictorongeneralcomplexdynamicnetworks
AT shuangli adaptivesynchronizationviastatepredictorongeneralcomplexdynamicnetworks
AT xiaohan adaptivesynchronizationviastatepredictorongeneralcomplexdynamicnetworks
_version_ 1725518568947187712

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