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Dynamic event-triggered delayed impulsive control for nonlinear system with packet loss

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  • Guo, Junfeng
  • Wang, Fei
  • Li, Ning

Abstract

This paper presents a novel dynamic event-triggered delayed impulsive control (ETDIC) strategy to address the exponential stability (ES) of nonlinear system under packet loss, where the impact of impulsive delay is fully taken into account. The impulsive sequences are governed by a dynamic event-triggered mechanism, where the dynamic variable typically evolves according to continuous-time equation during inter-event intervals, but it exhibits delay-dependent instantaneous jumps. The proposed ETDIC strategy simultaneously leverages the stabilizing potential of state delay and the resource-saving capability of the dynamic threshold, thereby enhancing system stability while reducing control consumption. Sufficient conditions are derived to ensure ES of the nonlinear system under packet loss with the dynamic ETDIC, and the Zeno behavior is excluded. Furthermore, our results show that the impulsive delay may contribute to the stability of the system and reduce the required frequency of impulsive instants. As an application of the dynamic ETDIC, the theoretical results are applied to chaotic synchronization of two Chua’s circuit systems. Finally, comparisons with some existed results about event-triggered impulsive control are provided in numerical simulations to illustrate the superiority of the control strategy in this paper.

Suggested Citation

  • Guo, Junfeng & Wang, Fei & Li, Ning, 2026. "Dynamic event-triggered delayed impulsive control for nonlinear system with packet loss," Applied Mathematics and Computation, Elsevier, vol. 525(C).
    • Handle: RePEc:eee:apmaco:v:525:y:2026:i:c:s0096300326001116
    DOI: 10.1016/j.amc.2026.130059
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