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Finite-time synchronization of a class of nonlinear complex-valued networks with time-varying delays

Author

Listed:
  • Zhang, Chuan
  • Wang, Xingyuan
  • Unar, Salahuddin
  • Wang, Yu

Abstract

This paper focuses on the problem of finite-time synchronization for a class of nonlinear complex-valued networks with time-varying delays. A novel model is proposed to generalize the previous works. The nonlinear couplings, time-varying node delay and multiple time-varying coupling delays are considered; all the variables and parameters in this model are considered as complex values. By decomposing the network model to real and imaginary parts, an equivalent real-valued system is built. Then, by utilizing the linear feedback controllers, synchronization is achieved in a given finite time rather than merely asymptotically synchronize. Based on the finite-time stability theory, Lyapunov functional method and some mathematical analysis techniques, sufficient conditions are strictly established to ensure the finite-time synchronization, the main results can be also extended to the networks without node delay or coupling delays. At last, examples are provided in details to demonstrate our results.

Suggested Citation

  • Zhang, Chuan & Wang, Xingyuan & Unar, Salahuddin & Wang, Yu, 2019. "Finite-time synchronization of a class of nonlinear complex-valued networks with time-varying delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 528(C).
    • Handle: RePEc:eee:phsmap:v:528:y:2019:i:c:s037843711930593x
    DOI: 10.1016/j.physa.2019.04.221
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    Cited by:

    1. Iswarya, M. & Raja, R. & Cao, J. & Niezabitowski, M. & Alzabut, J. & Maharajan, C., 2022. "New results on exponential input-to-state stability analysis of memristor based complex-valued inertial neural networks with proportional and distributed delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 201(C), pages 440-461.
    2. Enli Wu & Yao Wang & Yundong Li & Kelin Li & Fei Luo, 2023. "Fixed-Time Synchronization of Complex-Valued Coupled Networks with Hybrid Perturbations via Quantized Control," Mathematics, MDPI, vol. 11(18), pages 1-18, September.

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