Adaptive Synchronization of Complex Dynamical Networks with State Predictor

This paper addresses the adaptive synchronization of complex dynamical networks with nonlinear dynamics. Based on the Lyapunov method, it is shown that the network can synchronize to the synchronous state by introducing local adaptive strategy to the coupling strengths. Moreover, it is also proved t...

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Main Authors: Yuntao Shi, Bo Liu, Xiao Han
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/394137
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spelling doaj-a0dc18b347514ce28f11ebf77ff3bda32020-11-24T22:36:06ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/394137394137Adaptive Synchronization of Complex Dynamical Networks with State PredictorYuntao Shi0Bo Liu1Xiao Han2Key Laboratory of Beijing for Field-Bus Technology & Automation, North China University of Technology, Beijing 100144, ChinaCollege of Science, North China University of Technology, Beijing 100144, ChinaCollege of Science, North China University of Technology, Beijing 100144, ChinaThis paper addresses the adaptive synchronization of complex dynamical networks with nonlinear dynamics. Based on the Lyapunov method, it is shown that the network can synchronize to the synchronous state by introducing local adaptive strategy to the coupling strengths. Moreover, it is also proved that the convergence speed of complex dynamical networks can be increased via designing a state predictor. Finally, some numerical simulations are worked out to illustrate the analytical results.http://dx.doi.org/10.1155/2013/394137
collection DOAJ
language English
format Article
sources DOAJ
author Yuntao Shi
Bo Liu
Xiao Han
spellingShingle Yuntao Shi
Bo Liu
Xiao Han
Adaptive Synchronization of Complex Dynamical Networks with State Predictor
Journal of Applied Mathematics
author_facet Yuntao Shi
Bo Liu
Xiao Han
author_sort Yuntao Shi
title Adaptive Synchronization of Complex Dynamical Networks with State Predictor
title_short Adaptive Synchronization of Complex Dynamical Networks with State Predictor
title_full Adaptive Synchronization of Complex Dynamical Networks with State Predictor
title_fullStr Adaptive Synchronization of Complex Dynamical Networks with State Predictor
title_full_unstemmed Adaptive Synchronization of Complex Dynamical Networks with State Predictor
title_sort adaptive synchronization of complex dynamical networks with state predictor
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2013-01-01
description This paper addresses the adaptive synchronization of complex dynamical networks with nonlinear dynamics. Based on the Lyapunov method, it is shown that the network can synchronize to the synchronous state by introducing local adaptive strategy to the coupling strengths. Moreover, it is also proved that the convergence speed of complex dynamical networks can be increased via designing a state predictor. Finally, some numerical simulations are worked out to illustrate the analytical results.
url http://dx.doi.org/10.1155/2013/394137
work_keys_str_mv AT yuntaoshi adaptivesynchronizationofcomplexdynamicalnetworkswithstatepredictor
AT boliu adaptivesynchronizationofcomplexdynamicalnetworkswithstatepredictor
AT xiaohan adaptivesynchronizationofcomplexdynamicalnetworkswithstatepredictor
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