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<p>This paper investigates the stability issue of nonlinear stochastic delay systems under exogenous disturbances. Based on the presence or absence of transmission delay in the controller, two event-triggered impulsive control (ETIC) strategies are designed. The proposed two novel ETIC approaches comprehensively consider four key indicators: threshold, control-free index, inspection interval, and waiting time, while incorporating three different levels of trigger events. This design enables the effective reduction of unnecessary inputs of impulsive control signals without compromising the performance of controller in the ETIC. Then by employing Lyapunov functional method, it can be derived that under the designed ETIC strategies, regardless of the presence of transmission delay, the systems exhibit exponentially <i>r</i>th moment input-to-state stability(<i>r</i>-ISS). Ultimately, the accuracy of the conclusion is confirmed by two examples.</p>

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Novel Event-triggered Impulsive Control Strategies for Nonlinear Stochastic Delay Systems

  • 期刊论文

  • 发表日期：

    2025年4月12日

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  • Chenglong Pan,
  • Linna Liu,
  • Jianyin Fang

摘要

This paper investigates the stability issue of nonlinear stochastic delay systems under exogenous disturbances. Based on the presence or absence of transmission delay in the controller, two event-triggered impulsive control (ETIC) strategies are designed. The proposed two novel ETIC approaches comprehensively consider four key indicators: threshold, control-free index, inspection interval, and waiting time, while incorporating three different levels of trigger events. This design enables the effective reduction of unnecessary inputs of impulsive control signals without compromising the performance of controller in the ETIC. Then by employing Lyapunov functional method, it can be derived that under the designed ETIC strategies, regardless of the presence of transmission delay, the systems exhibit exponentially rth moment input-to-state stability(r-ISS). Ultimately, the accuracy of the conclusion is confirmed by two examples.