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Generalized linear synchronization of different complex networks with time-varying delays

GONG Chang-zhong,LI Fei-yan   

  1. (College of Science,CAUC,Tianjin 300300,China)
  • Received:2014-07-04 Revised:2014-09-19 Online:2015-12-23 Published:2015-12-24

Abstract:

Generalized linear synchronization of different complex networks with time-varying delays is introduced. Based on Lyapunov stability theory,some generalized linear synchronization sufficient conditions are derived by adaptive control method. Furthermore,each network with time -varying coupling delays and time -varying delays in dynamical nodes may have different dimensions and its topological structure is also nonidentical. Nodes in either network may have identical or different dynamics. A numerical simulation example is also provided to testify the rationality of the current method,demonstrating that the synchronization rate is affected by adaptive law strengt

Key words: different complex networks, generalized linear synchronization, time-varying delays, adaptive controller

CLC Number: