Neural Computing and Applications

, Volume 31, Issue 11, pp 7945–7961 | Cite as

Cluster lag synchronization of delayed heterogeneous complex dynamical networks via intermittent pinning control

  • Fan Yang
  • Huaqing LiEmail author
  • Guo Chen
  • Dawen Xia
  • Qi Han
Original Article


This paper investigates the problem of cluster lag synchronization in the heterogeneous dynamical networks by using an intermittent pinning control strategy. Previous related works mainly focused on the time-varying delays in the self-dynamics, which was not consistent with the real world. The transmission delay in the communication channels is considered in this paper. We present several criteria to guarantee cluster lag synchronization without assuming the coupling matrix being symmetric and irreducible. A decentralized adaptive intermittent pinning control scheme is employed to reduce the control cost. An effective pinned-cluster selection scheme is adopted to guide what kind of clusters should be pinned preferentially. Two simulations are proposed to verify the correctness of the theoretical results.


Lag synchronization Cluster synchronization Adaptive control Intermittent pinning control Heterogeneous complex networks 



The work described in this paper was supported in part by the Special Financial Support from China Postdoctoral Science Foundation under Grant 2017T100670, in part by the China Postdoctoral Science Foundation under Grant 2016M590852, in part by the Special Financial Support from Chongqing Postdoctoral Science Foundation under Grant Xm2017100, in part by the National Natural Science Foundation of China under Grants 61773321, 61762020 and 61503050, in part by the Science and Technology Foundation of Guizhou under Grants. QKHJC20161076 and QKHJC20181083, in part by the Science and Technology Top-notch Talents Support Project of Colleges and Universities in Guizhou under Grant QJHKY2016065 and in part by the High-level Innovative Talents Project of Guizhou under Grant QRLF201621.

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.


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Copyright information

© The Natural Computing Applications Forum 2018

Authors and Affiliations

  • Fan Yang
    • 1
  • Huaqing Li
    • 1
    Email author
  • Guo Chen
    • 2
  • Dawen Xia
    • 3
  • Qi Han
    • 4
  1. 1.Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information EngineeringSouthwest UniversityChongqingPeople’s Republic of China
  2. 2.School of Electrical Engineering and Computer ScienceUniversity of NewcastleSydneyAustralia
  3. 3.College of Data Science and Information EngineeringGuizhou Minzu UniversityGuiyangPeople’s Republic of China
  4. 4.College of Electrical and Information EngineeringChongqing University of Science and TechnologyChongqingPeople’s Republic of China

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