This article delves into the global \(\mu\) -synchronization problem in stochastic neural networks (SNNs) with event triggered delayed impulsive control (ETDIC). To mitigate the adverse impacts of packet loss and communication delays on system performance, this article utilizes a resilient event-triggered mechanism(RETM). The RETM realizes adaptive control of trigger sensitivity by dynamically adjusting the parameters in the trigger function, so that the system can still maintain global \(\mu\) -synchronization by adjusting the impulsive trigger frequency under 10% packet loss rate. Based on the RETM and controller design, sufficient conditions for achieving \(\mu\) -synchronization in master–slave stochastic systems have been derived. In addition, the article proves through easily verifiable conditions and assumptions that under event triggered delay impulsive control, master–slave SNNs can attain global \(\mu\) -synchronization when subjected to packet loss rate, and the design of packet loss models can help avoid the impact of the Zeno phenomenon. Finally, the validity of our results were confirmed using two numerical simulation cases.
