Sliding mode secure control for delta operator systems under periodic denial-of-service (DoS) attacks is designed based on a joint strategy with event-triggered mechanism (ETM) and dynamic quantized mechanism (DQM). First of all, the quadratical stability condition related to \(\gamma -\) sliding dynamics is presented in terms of linear matrix inequality technique. Then a proposed \(\gamma \) -sliding mode security controller, integrating both a DQM and an ETM, ensures that the system can be driven into sliding band and achieve quadratic stabilization under periodic DoS attacks. Furthermore, the requirement for quantization saturation is subsequently elaborated. Finally, by virtue of the proposed comparison lemma in the delta operator domain, it is also proved that the execution time interval of the ETM has a positive lower bound, thereby ensuring no Zeno behaviors occur throughout the entire system operation process. The effectiveness and superiority of the proposed method is finally verified by an example.
