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Practical finite-time bipartite synchronization for fractional-order T–S fuzzy multilayer signed networks via dynamic event-triggered hybrid impulsive control

Author

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  • Peng, Qiu
  • Tan, Manchun
  • Luo, Mingbing
  • Wu, Kai

Abstract

Synchronization is crucial for achieving coordinated dynamic behavior and improving operational efficiency in complex networks. This paper focuses on the practical finite-time bipartite synchronization (PFTBS) of fractional-order Takagi–Sugeno (T–S) fuzzy multilayer signed networks (FOTSFMSNs) with time-varying coupling weights. First, to reduce communication resource consumption and control costs, a fuzzy exponential dynamic event-triggered hybrid impulsive control method is designed by introducing the exponential decay function under the T–S fuzzy rule. Second, a graph-theoretic Lyapunov function with two time-varying coefficients is constructed, and corresponding fractional-order derivative rules are established. Using graph theory and a new practical fractional-order impulsive finite-time inequality, sufficient conditions for PFTBS are derived, and Zeno behavior is effectively excluded. Finally, numerical simulations are carried out on two FOTSFMSNs, one using fractional-order Chua’s chaotic circuit and the other using fractional-order power system as node dynamics. The numerical results confirm the effectiveness of the control method.

Suggested Citation

  • Peng, Qiu & Tan, Manchun & Luo, Mingbing & Wu, Kai, 2026. "Practical finite-time bipartite synchronization for fractional-order T–S fuzzy multilayer signed networks via dynamic event-triggered hybrid impulsive control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 242(C), pages 297-322.
    • Handle: RePEc:eee:matcom:v:242:y:2026:i:c:p:297-322
    DOI: 10.1016/j.matcom.2025.11.037
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