J4 ›› 2013, Vol. 26 ›› Issue (6): 40-44.doi: 10.3976/j.issn.1002-4026.2013.06.010

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Exponential synchronization of complex networks with delayed and nonlinearly coupled nodes

 LIU Xin-Chao1, JI Yan2, WANG Ping2   

  1. 1. Navigation Guarantee Department, Naval Headquarters, Tianjin 300042, China; 2. Shandong Provincial Key Laboratory of Ocean Environmental Monitoring Technology,Institute of Oceanographic Instrumentation, Shandong Academy of Sciences, Qingdao 266001, China
  • Received:2013-08-28 Online:2013-12-20 Published:2013-12-20

Abstract:

        We design a nonlinear feedback controller with LyapunovKrasovskii stability theory based on unsymmetry coupled matrix and the assumption of known coupling coefficients. We further implement the global exponential synchronization of a complex network. Numerical simulations demonstrate its feasibility and effectiveness.

Key words: exponential synchronization, complex networks, delayed nodes, Lyapunov function, directed and weighted network

CLC Number: 

  • TP273