Neural Processing Letters

, Volume 45, Issue 1, pp 95–108 | Cite as

Weighted Average Pinning Synchronization for a Class of Coupled Neural Networks with Time-Varying Delays

  • Qingbo Li
  • Jin Guo
  • Yuanyuan Wu
  • Chang-Yin Sun


This paper deals with the pinning synchronization problem for a class of neural networks with time-varying delay and nonsymmetrical coupling. The weighted average of all the node states is selected as the controlled synchronization state. A pinning feedback controller is proposed, and some sufficient conditions are derived to guarantee the global asymptotical synchronization by use of the Lyapunov–Krasovskii function method. Consequently, the adaptive pinning synchronization is also investigated. Finally, a numerical example is given to show the effectiveness of the main results.


Coupled neural networks (Adaptive) pinning synchronization  Time-varying delays Lyapunov–Krasovskii function 



This research was supported in part by the Projects of International Cooperation and Exchanges NSFC (61520106009), in part by the National Natural Science Foundation of China (61403027), in part by the Fundamental Research Funds for the Central Universities (FRF-TP-15-071A1), and in part by the Science Foundation of China Postdoctoral under Grant 2014M561543.


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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  • Qingbo Li
    • 1
    • 2
  • Jin Guo
    • 1
  • Yuanyuan Wu
    • 3
  • Chang-Yin Sun
    • 1
  1. 1.School of Automation and Electrical EngineeringUniversity of Science and Technology BeijingBeijingPeople’s Republic of China
  2. 2.College of Mathematics and Information ScienceZhengzhou University of Light IndustryZhengzhouPeople’s Republic of China
  3. 3.College of Electric and Information EngineeringZhengzhou University of Light IndustryZhengzhouPeople’s Republic of China

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