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Exponential synchronization on time scales of complex dynamical networks with coupling delays via event-triggered delayed impulsive control

Author

Listed:
  • Ma, Zhihui
  • Teo, Kok Lay
  • Wang, Lei
  • Wu, Chen

Abstract

This article investigates the exponential synchronization problem for complex dynamical networks (CDNs) with coupling delays on time scales. To address this challenge, a novel event-triggered delayed impulsive control (ETDIC) strategy is proposed. This strategy organically integrates delayed impulsive control with an event-triggering mechanism, aiming to alleviate the network communication burden while effectively accommodating actuation delays. By leveraging the Lyapunov–Razumikhin (L–R) technique and impulsive control theory on time scales, computationally tractable sufficient conditions are derived in the form of linear matrix inequalities (LMIs). Theoretical analysis demonstrates that the proposed strategy not only guarantees exponential synchronization of the network but also successfully rules out the Zeno phenomenon. Finally, a numerical simulation on a hybrid time scale is provided to verify the effectiveness of the proposed ETDIC strategy and the correctness of the theoretical analysis.

Suggested Citation

  • Ma, Zhihui & Teo, Kok Lay & Wang, Lei & Wu, Chen, 2026. "Exponential synchronization on time scales of complex dynamical networks with coupling delays via event-triggered delayed impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 209(P2).
    • Handle: RePEc:eee:chsofr:v:209:y:2026:i:p2:s0960077926005631
    DOI: 10.1016/j.chaos.2026.118422
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