This paper investigates the exponential stability and \(L_2\) -gain performance of impulsive switched time-delay systems, with a focus on revealing the dual effects of impulse delays. A unified analytical framework is established to simultaneously address time-varying delays in continuous dynamics and input delays in impulses, without imposing restrictive constraints on their relative magnitudes. For destabilizing impulses, Razumikhin-type conditions are derived to ensure exponential stability and a prescribed \(L_2\) -gain performance. For stabilizing impulses, a novel impulsive differential inequality under switching topology is developed to achieve the same stability and performance objectives. The results explicitly demonstrate that delays in destabilizing impulses degrade system performance, while delays in stabilizing impulses improve stability robustness. Furthermore, quantitative relationships among system parameters are established using the average dwell time (ADT) and average impulsive interval (AII), which guarantee the feasible design of asynchronous impulsive switching signals. Finally, numerical examples are provided to verify the effectiveness of the theoretical findings.
