Adaptive synchronization of weighted complex dynamical networks with coupling time-varying delays

2008 ◽  
Vol 372 (20) ◽  
pp. 3632-3639 ◽  
Author(s):  
Lei Wang ◽  
Hua-ping Dai ◽  
Hui Dong ◽  
Ye-hu Shen ◽  
You-xian Sun
Keyword(s):  
Complex Dynamical Networks ◽  
Adaptive Synchronization ◽  
Time Varying ◽  
Dynamical Networks ◽  
Coupling Time

scholarly journals Control of Synchronization and Stability for Nonlinear Complex Dynamical Networks with Different Dimensional Similar Nodes and Coupling Time-Varying Delay

2015 ◽  
Vol 2015 ◽  
pp. 1-6
Author(s):  
Luo Yi-ping ◽  
Luo Xin ◽  
Deng Fei ◽  
Hu Jun-qiang
Keyword(s):  
Complex Dynamical Networks ◽  
Time Varying ◽  
Lyapunov Stability Theorem ◽  
Dynamical Networks ◽  
Time Varying Delay ◽  
Decentralized Controllers ◽  
Coupling Time ◽  
The Stability ◽  
Definition Of ◽  
Varying Delay

This paper discusses the stability and synchronization for the nonlinear coupled complex networks with different dimensional nodes, and the external coupling satisfies the condition of dissipation. The definition of synchronization of the complex dynamical networks is proposed as the manifold. By Lyapunov stability theorem, the decentralized controllers with similar parameters are designed to synchronize such dynamical networks asymptotically in which the characteristics are variable delayed. Finally, a numerical example is given to illustrate the effectiveness of the designed method.

scholarly journals Adaptive Synchronization of Nonlinearly Parameterized Complex Dynamical Networks with Unknown Time-Varying Parameters

2012 ◽  
Vol 2012 ◽  
pp. 1-16 ◽  
Author(s):  
Tengfei Wang ◽  
Junmin Li ◽  
Shu Tang
Keyword(s):  
Adaptive Learning ◽  
Complex Dynamical Networks ◽  
Adaptive Synchronization ◽  
Time Varying ◽  
Error Norm ◽  
Dynamical Networks ◽  
Varying Parameters ◽  
Time Varying Parameters ◽  
Nonlinearly Parameterized ◽  
Composite Energy

A new adaptive learning control approach is proposed for a class of nonlinearly parameterized complex dynamical networks with unknown time-varying parameters. By using the parameter separation and reparameterization technique, the adaptive learning laws of periodically time-varying and constant parameters and an adaptive control strategy are designed to ensure the asymptotic convergence of the synchronization error in the sense of square error norm. Then, a sufficient condition of the synchronization is given by constructing a composite energy function. Finally, an example of the complex network is used to verify the effectiveness of proposed approach.

Synchronization of neutral complex dynamical networks with coupling time-varying delays

2010 ◽  
Vol 65 (4) ◽  
pp. 349-358 ◽  
Author(s):  
D. H. Ji ◽  
D. W. Lee ◽  
J. H. Koo ◽  
S. C. Won ◽  
S. M. Lee ◽  
...  
Keyword(s):  
Complex Dynamical Networks ◽  
Time Varying ◽  
Neutral Complex ◽  
Dynamical Networks ◽  
Coupling Time
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