scholarly journals Adaptive synchronization in united complex dynamical network with multi-links

2008 ◽  
Vol 57 (4) ◽  
pp. 2081
Author(s):  
Gao Yang ◽  
Li Li-Xiang ◽  
Peng Hai-Peng ◽  
Yang Yi-Xian ◽  
Zhang Xiao-Hong
Keyword(s):  
Adaptive Synchronization ◽  
Complex Dynamical Network ◽  
Dynamical Network

Pinning adaptive synchronization of complex dynamical network with multi-links

2012 ◽  
Vol 69 (4) ◽  
pp. 1813-1824 ◽  
Author(s):  
Qiyang Hu ◽  
Haipeng Peng ◽  
Yunge Wang ◽  
Zhirui Hu ◽  
Yixian Yang
Keyword(s):  
Adaptive Synchronization ◽  
Complex Dynamical Network ◽  
Dynamical Network

scholarly journals Analysis and Design of Adaptive Synchronization of a Complex Dynamical Network with Time-Delayed Nodes and Coupling Delays

2017 ◽  
Vol 2017 ◽  
pp. 1-11
Author(s):  
Yu Miao ◽  
He Liang ◽  
Zhao Haiyun ◽  
Chen Zhigang ◽  
Yi Junyan
Keyword(s):  
Controller Design ◽  
Sufficient Conditions ◽  
Adaptive Controller ◽  
Adaptive Synchronization ◽  
Complex Dynamical Network ◽  
Analysis And Design ◽  
Dynamical Network ◽  
Coupling Parameters ◽  
The Individual ◽  
Switching Communication Topologies

This paper is devoted to the study of synchronization problems in uncertain dynamical networks with time-delayed nodes and coupling delays. First, a complex dynamical network model with time-delayed nodes and coupling delays is given. Second, for a complex dynamical network with known or unknown but bounded nonlinear couplings, an adaptive controller is designed, which can ensure that the state of a dynamical network asymptotically synchronizes at the individual node state locally or globally in an arbitrary specified network. Then, the Lyapunov-Krasovskii stability theory is employed to estimate the network coupling parameters. The main results provide sufficient conditions for synchronization under local or global circumstances, respectively. Finally, two typical examples are given, using the M-G system as the nodes of the ring dynamical network and second-order nodes in the dynamical network with time-varying communication delays and switching communication topologies, which illustrate the effectiveness of the proposed controller design methods.

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