Synchronization criterion for Lur'e type complex dynamical networks with time-varying delay

2010 ◽  
Vol 374 (10) ◽  
pp. 1218-1227 ◽  
Author(s):  
D.H. Ji ◽  
Ju H. Park ◽  
W.J. Yoo ◽  
S.C. Won ◽  
S.M. Lee
Keyword(s):  
Complex Dynamical Networks ◽  
Time Varying ◽  
Dynamical Networks ◽  
Time Varying Delay ◽  
Type Complex ◽  
Varying Delay

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.

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