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<p>This paper deals with the input-to-state stability (ISS) of stochastic delayed systems with packet losses by event-triggered delayed impulsive control (ETDIC). Based on the Lyapunov function method, the designed event-triggered mechanism (ETM) only depends on the information from the system state and external input, without requiring the existence of an upper bound for the triggering interval. It can achieve the desired control performance and avoid Zeno behavior. Our results reveal the tradeoff among triggered parameters, impulsive intensity and impulsive delay at a certain packet loss rate (PLR). Especially, in the average sense, we not only relax the requirement on impulsive strength but also remove the restriction on the magnitude of impulsive delay. Finally, several examples are provided to illustrate the validity of our conclusions.</p>

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Event-Triggered Delayed Impulsive Stabilization for Nonlinear Stochastic Systems With Packet Losses

  • 期刊论文

  • 发表日期：

    2026年5月19日

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  • Ninghua Chen,
  • Junyan Xu

摘要

This paper deals with the input-to-state stability (ISS) of stochastic delayed systems with packet losses by event-triggered delayed impulsive control (ETDIC). Based on the Lyapunov function method, the designed event-triggered mechanism (ETM) only depends on the information from the system state and external input, without requiring the existence of an upper bound for the triggering interval. It can achieve the desired control performance and avoid Zeno behavior. Our results reveal the tradeoff among triggered parameters, impulsive intensity and impulsive delay at a certain packet loss rate (PLR). Especially, in the average sense, we not only relax the requirement on impulsive strength but also remove the restriction on the magnitude of impulsive delay. Finally, several examples are provided to illustrate the validity of our conclusions.