This study investigates the stability of an autonomous ground vehicle dynamics model in the presence of novel denial of service (DoS) attacks. An algorithm that utilizes an asymmetric Lyapunov-Krasovskii function to reduce decision variables effectively is proposed. By partitioning the LKF for asymmetric LKF trimming, we ensure a tighter upper bound on the remaining part of the function using appropriate integral inequalities. Additionally, an improved alternating direction algorithm (ADA) is employed to optimize the threshold selection problem while considering initial constraints. Subsequently, we design an intelligent integral-based event-triggering controller (IIETC) that incorporates random trigger signal loss to guarantee AGV stability. We conduct a series of experiments utilizing the CarSim-Simulink AGV joint platform. The experimental results serve to validate the effectiveness and superiority of our proposed method.