Finite-Time Synchronization for a Class of Dynamical Complex Networks with Nonidentical Nodes and Uncertain Disturbance

  • Qingbo Li
  • Jin GuoEmail author
  • Changyin Sun
  • Yuanyuan Wu
  • Zhengtao Ding


This paper investigates the finite-time synchronization for a class of linearly coupled dynamical complex networks with both nonidentical nodes and uncertain disturbance. A set of controllers are designed such that the considered system can be finite-timely synchronized onto the target node. Based on the stability of the error equation, the Lyapunov function method and the linear matrix inequality technique, several sufficient conditions are derived to ensure the finite-time synchronization, and applied to the case of identical nodes and the one without uncertain disturbance. Also the adaptive finite-time synchronization is discussed. A numerical example is given to show the effectiveness of the main results obtained.


Disturbance dynamical complex networks finite-time synchronization nonidentical nodes 


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Copyright information

© Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Qingbo Li
    • 1
    • 2
  • Jin Guo
    • 1
    • 3
    Email author
  • Changyin Sun
    • 4
  • Yuanyuan Wu
    • 5
  • Zhengtao Ding
    • 6
  1. 1.School of Automation and Electrical EngineeringUniversity of Science and Technology BeijingBeijingChina
  2. 2.College of Mathematics and Information ScienceZhengzhou University of Light IndustryZhengzhouChina
  3. 3.Key Laboratory of Knowledge Automation for Industrial ProcessesMinistry of EducationBeijingChina
  4. 4.School of AutomationSoutheast UniversityNanjingChina
  5. 5.College of Electric and Information EngineeringZhengzhou University of Light IndustryZhengzhouChina
  6. 6.School of Electrical and Electronic EngineeringUniversity of ManchesterManchesterUK

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