Adaptive Pinning Synchronization of A General Complex Dynamical Network

2007 ◽  
Author(s):  
Jin Zhou ◽  
Junan Lu ◽  
Jinhu Lu
Keyword(s):  
Complex Dynamical Network ◽  
Dynamical Network ◽  
General Complex

Topological Identification of Complex Dynamical Network with Communities and Node Delay

2013 ◽  
Vol 411-414 ◽  
pp. 2093-2097
Author(s):  
Jiang Ang Zhang ◽  
Yan Dong Chu ◽  
Wen Ju Du
Keyword(s):  
Parameter Identification ◽  
Hierarchical Structure ◽  
Invariance Principle ◽  
Topological Structure ◽  
Complex Dynamical Networks ◽  
Complex Dynamical Network ◽  
Network Systems ◽  
Dynamical Network ◽  
General Complex ◽  
Real Complex

Recently, various papers investigated the topology identification and parameter identification of uncertain general complex dynamical networks. However, in many real complex dynamical network systems, there exists community or hierarchical structure and node delay. Based on LaSalle’s invariance principle, in this letter, an adaptive controlling method is proposed to identify unknown topological structure for general weighted complex dynamical network with community and node delay. Illustrative simulations are provided to verify the correctness and effectiveness of the proposed scheme.

scholarly journals Criterion for Unbounded Synchronous Region in Complex Networks

2013 ◽  
Vol 2013 ◽  
pp. 1-8
Author(s):  
Jin Zhou
Keyword(s):  
Complex Networks ◽  
Function Method ◽  
Sufficient Conditions ◽  
Positive Definite ◽  
Complex Dynamical Network ◽  
Stability Function ◽  
Coupling Matrix ◽  
Dynamical Network ◽  
General Complex ◽  
Necessary And Sufficient

Synchronization of complex networks has been extensively studied in many fields, where intensive efforts have been devoted to the understanding of its mechanisms. As for discriminating network synchronizability by Master Stability Function method, a dilemma usually encountered is that we have no prior knowledge of the network type that the synchronous region belongs to. In this paper, we investigate a sufficient condition for a general complex dynamical network in the absence of control. A main result is that, when the coupling strength is sufficiently strong, the dynamical network achieves synchronization provided that the symmetric part of the inner-coupling matrix is positive definite. According to our results, synchronous region of the network with positive definite inner-coupling matrix belongs to the unbounded one, and then the eigenvalue of the outer-coupling matrix nearest 0 can be used for judging synchronizability. Even though we cannot gain the necessary and sufficient conditions for synchronizing a network so far, our results constitute a first step toward a better understanding of network synchronization.

Bounded synchronization of the general complex dynamical network with delay feedback controller

2015 ◽  
Vol 84 (2) ◽  
pp. 661-667 ◽  
Author(s):  
Yuhua Xu ◽  
Yajuan Lu ◽  
Weixiang Yan ◽  
Wuneng Zhou ◽  
Jian’an Fang
Keyword(s):  
Feedback Controller ◽  
Complex Dynamical Network ◽  
Dynamical Network ◽  
General Complex
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