Nonlinear Dynamics

, Volume 67, Issue 4, pp 2519–2525 | Cite as

Projective and lag synchronization between general complex networks via impulsive control

  • Qunjiao Zhang
  • Junchan Zhao
Original Paper


This paper mainly investigates the projective and lag synchronization between general complex networks via impulsive control. A general drive complex network and an impulsively controlled slave network are presented in the model. Specially, the coupling matrix in this model is not assumed to be symmetric, diffusive or irreducible. Some criteria and corollaries are, respectively, derived for the projective synchronization and lag synchronization between the presented impulsively controlled complex networks. Finally, the results are illustrated by complex networks composed of the chaotic Lorenz systems. All the numerical simulations verify the correctness of the theoretical results.


Complex networks Projective synchronization Lag synchronization Impulsive control Lorenz system 


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© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.College of Mathematics and Computer ScienceWuhan Textile UniversityWuhanChina

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