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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Format: | Article |
Language: | English |
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Wiley
2013-01-01
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Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/2013/394137 |
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author | Yuntao Shi Bo Liu Xiao Han |
author_facet | Yuntao Shi Bo Liu Xiao Han |
author_sort | Yuntao Shi |
collection | DOAJ |
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. |
format | Article |
id | doaj-art-a0dc18b347514ce28f11ebf77ff3bda3 |
institution | Kabale University |
issn | 1110-757X 1687-0042 |
language | English |
publishDate | 2013-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Applied Mathematics |
spelling | doaj-art-a0dc18b347514ce28f11ebf77ff3bda32025-02-03T01:24:53ZengWileyJournal 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 |
spellingShingle | Yuntao Shi Bo Liu Xiao Han Adaptive Synchronization of Complex Dynamical Networks with State Predictor Journal of Applied Mathematics |
title | 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_short | Adaptive Synchronization of Complex Dynamical Networks with State Predictor |
title_sort | adaptive synchronization of complex dynamical networks with state predictor |
url | http://dx.doi.org/10.1155/2013/394137 |
work_keys_str_mv | AT yuntaoshi adaptivesynchronizationofcomplexdynamicalnetworkswithstatepredictor AT boliu adaptivesynchronizationofcomplexdynamicalnetworkswithstatepredictor AT xiaohan adaptivesynchronizationofcomplexdynamicalnetworkswithstatepredictor |