Distributed Adaptive Synchronization for Complex Dynamical Networks with Uncertain Nonlinear Neutral-Type Coupling

Distributed adaptive synchronization control for complex dynamical networks with nonlinear derivative coupling is proposed. The distributed adaptive strategies are constituted by directed connections among nodes. By means of the parameters separation, the nonlinear functions can be transformed into...

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Main Authors: Shi Miao, Li Junmin
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/548375
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spelling doaj-9c69dc4a943446f597ac3cc20a6dad6d2020-11-24T22:38:45ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/548375548375Distributed Adaptive Synchronization for Complex Dynamical Networks with Uncertain Nonlinear Neutral-Type CouplingShi Miao0Li Junmin1Department of Mathematics, Xidian University, Xi’an 710071, ChinaDepartment of Mathematics, Xidian University, Xi’an 710071, ChinaDistributed adaptive synchronization control for complex dynamical networks with nonlinear derivative coupling is proposed. The distributed adaptive strategies are constituted by directed connections among nodes. By means of the parameters separation, the nonlinear functions can be transformed into the linearly form. Then effective distributed adaptive techniques are designed to eliminate the effect of time-varying parameters and made the considered network synchronize a given trajectory in the sense of square error norm. Furthermore, the coupling matrix is not assumed to be symmetric or irreducible. An example shows the applicability and feasibility of the approach.http://dx.doi.org/10.1155/2013/548375
collection DOAJ
language English
format Article
sources DOAJ
author Shi Miao
Li Junmin
spellingShingle Shi Miao
Li Junmin
Distributed Adaptive Synchronization for Complex Dynamical Networks with Uncertain Nonlinear Neutral-Type Coupling
Journal of Applied Mathematics
author_facet Shi Miao
Li Junmin
author_sort Shi Miao
title Distributed Adaptive Synchronization for Complex Dynamical Networks with Uncertain Nonlinear Neutral-Type Coupling
title_short Distributed Adaptive Synchronization for Complex Dynamical Networks with Uncertain Nonlinear Neutral-Type Coupling
title_full Distributed Adaptive Synchronization for Complex Dynamical Networks with Uncertain Nonlinear Neutral-Type Coupling
title_fullStr Distributed Adaptive Synchronization for Complex Dynamical Networks with Uncertain Nonlinear Neutral-Type Coupling
title_full_unstemmed Distributed Adaptive Synchronization for Complex Dynamical Networks with Uncertain Nonlinear Neutral-Type Coupling
title_sort distributed adaptive synchronization for complex dynamical networks with uncertain nonlinear neutral-type coupling
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2013-01-01
description Distributed adaptive synchronization control for complex dynamical networks with nonlinear derivative coupling is proposed. The distributed adaptive strategies are constituted by directed connections among nodes. By means of the parameters separation, the nonlinear functions can be transformed into the linearly form. Then effective distributed adaptive techniques are designed to eliminate the effect of time-varying parameters and made the considered network synchronize a given trajectory in the sense of square error norm. Furthermore, the coupling matrix is not assumed to be symmetric or irreducible. An example shows the applicability and feasibility of the approach.
url http://dx.doi.org/10.1155/2013/548375
work_keys_str_mv AT shimiao distributedadaptivesynchronizationforcomplexdynamicalnetworkswithuncertainnonlinearneutraltypecoupling
AT lijunmin distributedadaptivesynchronizationforcomplexdynamicalnetworkswithuncertainnonlinearneutraltypecoupling
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