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Addressing the limitations of existing methods in handling hybrid impulses (the coexistence of stabilizing and destabilizing impulses) and time-varying impulsive gains, this paper incorporates the AIG method into ISS analysis. It allows for different Lyapunov gains at each impulsive moment and combines impulsive control with sampled-data control in a hybrid strategy, significantly enhancing the robustness of the system. By introducing time-varying Lyapunov gains and AIG conditions, sufficient conditions for achieving ISS are derived, along with linear matrix inequality (LMI)-based conditions. The results show that ISS of nonlinear impulsive systems can be ensured in the presence of hybrid impulses, using appropriate impulsive intervals and hybrid control strategies. 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