Adaptive Second-Order Synchronization of Two Heterogeneous Nonlinear Coupled Networks

Adaptive Second-Order Synchronization of Two Heterogeneous Nonlinear Coupled Networks

This paper investigates the second-order synchronization of two heterogeneous nonlinear coupled networks by introducing controller and adaptive laws. Based on Lyapunov stability properties and LaSalle invariance principle, it is proved that the position and the velocity of two heterogeneous nonlinea...

Full description

Bibliographic Details
Main Authors: Bo Liu, Shuang Li, Xuhui Tang
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2015/578539
id doaj-563126daf7124cf28743fc8474eabfca
record_format Article
spelling doaj-563126daf7124cf28743fc8474eabfca2020-11-24T23:21:20ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472015-01-01201510.1155/2015/578539578539Adaptive Second-Order Synchronization of Two Heterogeneous Nonlinear Coupled NetworksBo Liu0Shuang Li1Xuhui Tang2College of Science, 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 investigates the second-order synchronization of two heterogeneous nonlinear coupled networks by introducing controller and adaptive laws. Based on Lyapunov stability properties and LaSalle invariance principle, it is proved that the position and the velocity of two heterogeneous nonlinear coupled networks are asymptotically stable. Finally, some numerical simulations are presented to verify the analytical results.http://dx.doi.org/10.1155/2015/578539
collection DOAJ
language English
format Article
sources DOAJ
author Bo Liu
Shuang Li
Xuhui Tang
spellingShingle Bo Liu
Shuang Li
Xuhui Tang
Adaptive Second-Order Synchronization of Two Heterogeneous Nonlinear Coupled Networks
Mathematical Problems in Engineering
author_facet Bo Liu
Shuang Li
Xuhui Tang
author_sort Bo Liu
title Adaptive Second-Order Synchronization of Two Heterogeneous Nonlinear Coupled Networks
title_short Adaptive Second-Order Synchronization of Two Heterogeneous Nonlinear Coupled Networks
title_full Adaptive Second-Order Synchronization of Two Heterogeneous Nonlinear Coupled Networks
title_fullStr Adaptive Second-Order Synchronization of Two Heterogeneous Nonlinear Coupled Networks
title_full_unstemmed Adaptive Second-Order Synchronization of Two Heterogeneous Nonlinear Coupled Networks
title_sort adaptive second-order synchronization of two heterogeneous nonlinear coupled networks
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2015-01-01
description This paper investigates the second-order synchronization of two heterogeneous nonlinear coupled networks by introducing controller and adaptive laws. Based on Lyapunov stability properties and LaSalle invariance principle, it is proved that the position and the velocity of two heterogeneous nonlinear coupled networks are asymptotically stable. Finally, some numerical simulations are presented to verify the analytical results.
url http://dx.doi.org/10.1155/2015/578539
work_keys_str_mv AT boliu adaptivesecondordersynchronizationoftwoheterogeneousnonlinearcouplednetworks
AT shuangli adaptivesecondordersynchronizationoftwoheterogeneousnonlinearcouplednetworks
AT xuhuitang adaptivesecondordersynchronizationoftwoheterogeneousnonlinearcouplednetworks
_version_ 1725571913393111040

Similar Items