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Exponential Synchronization of Hyperbolic Complex Spatio-Temporal Networks with Multi-Weights

Author

Listed:
  • Hongkun Ma

    (School of Economics, Shandong Normal University, Jinan 250358, China)

  • Chengdong Yang

    (School of Information Science and Technology, Linyi University, Linyi 276005, China)

Abstract

This paper deals with the leader-following synchronization of first-order, semi-linear, complex spatio-temporal networks. Firstly, two sorts of complex spatio-temporal networks based on hyperbolic partial differential equations (CSTNHPDEs) are built: one with a single weight and the other with multi-weights. Then, a new distributed controller is designed to address CSTNHPDE with a single weight. Sufficient conditions for the synchronization and exponential synchronization of CSTNHPDE are presented by showing the gain ranges. Thirdly, the proposed distributed controller addresses of CSTNHPDE with multi-weights, and gain ranges are obtained for synchronization and exponential synchronization, respectively. Finally, two examples show the effectiveness and good performance of the control methods.

Suggested Citation

  • Hongkun Ma & Chengdong Yang, 2022. "Exponential Synchronization of Hyperbolic Complex Spatio-Temporal Networks with Multi-Weights," Mathematics, MDPI, vol. 10(14), pages 1-11, July.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:14:p:2451-:d:862494
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    References listed on IDEAS

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    4. Jia, You & Wu, Huaiqin & Cao, Jinde, 2020. "Non-fragile robust finite-time synchronization for fractional-order discontinuous complex networks with multi-weights and uncertain couplings under asynchronous switching," Applied Mathematics and Computation, Elsevier, vol. 370(C).
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    Cited by:

    1. Yi Liu & Senbin Yu & Chaoyang Zhang & Peiran Zhang & Yang Wang & Liang Gao, 2022. "Critical Percolation on Temporal High-Speed Railway Networks," Mathematics, MDPI, vol. 10(24), pages 1-8, December.

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