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Practical prescribed-time synchronization for spatiotemporal networks via aperiodically intermittent event-triggered boundary control

Author

Listed:
  • Li, Yang
  • Zhang, Yuqing
  • Wang, Lifei
  • Wu, Huaiqin
  • Cao, Jinde

Abstract

This paper addresses the practical prescribed-time synchronization (PTS) issue for spatiotemporal networks (STNs) under the Robin boundary condition via the aperiodically intermittent event-triggered control strategy. Firstly, a scaling function, which can effectively avoid the singularity, is introduced, and a new practical prescribed-time convergence criterion is developed for non-negative continuously differentiable functions. Secondly, a new aperiodically intermittent boundary controller is designed, where a dynamic event-triggered mechanism (DETM) with a time-varying threshold is introduced to reduce the triggering times. Thirdly, by utilizing the Lyapunov functional approach and auxiliary inequality techniques, the practical PTS conditions are formulated in the form of linear matrix inequalities (LMIs). In addition, the Zeno behavior is excluded for the designed DETM. Finally, two simulations are presented to verify the correctness of the obtained results.

Suggested Citation

  • Li, Yang & Zhang, Yuqing & Wang, Lifei & Wu, Huaiqin & Cao, Jinde, 2026. "Practical prescribed-time synchronization for spatiotemporal networks via aperiodically intermittent event-triggered boundary control," Applied Mathematics and Computation, Elsevier, vol. 528(C).
    • Handle: RePEc:eee:apmaco:v:528:y:2026:i:c:s0096300326001815
    DOI: 10.1016/j.amc.2026.130129
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