Finite- and Fixed-Time Cluster Synchronization of Nonlinearly Coupled Delayed Neural Networks via Pinning Control.

Journal: IEEE transactions on neural networks and learning systems
Published Date: Oct 27, 2021

Abstract

In this article, the cluster synchronization problem for a class of the nonlinearly coupled delayed neural networks (NNs) in both finite- and fixed-time cases are investigated. Based on the Lyapunov stability theory and pinning control strategy, some criteria are provided to ensure the cluster synchronization of the nonlinearly coupled delayed NNs in both finite-and fixed-time aspects. Then, the settling time for stabilization that is dependent on the initial value and independent of the initial value is estimated, respectively. Finally, we illustrate the feasibility and practicality of the results via a numerical example.

Authors

  • Xin Zhang
    First Department of Infectious Diseases, The First Affiliated Hospital of China Medical University, Shenyang, China.
  • Wuneng Zhou
  • Hamid Reza Karimi
    Department of Engineering, Faculty of Technology and Science, University of Agder, N-4898 Grimstad, Norway.
  • Yuqing Sun
    College of Information and Computer Engineering, Northeast Forestry University, Harbin, Heilongjiang, China.

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