To improve both transient and steady-state performance in the synchronization process of complex networks, this paper proposes two novel event-triggered pulse control schemes incorporating prescribed performance constraints. First, an event-triggered impulsive control based on a prescribed performance function is designed, which achieves practical synchronization of the complex network and ensures that synchronization errors remain strictly within a tunable range. The proposed triggering mechanism is proven to effectively eliminate Zeno behavior. Additionally, to achieve complete synchronization, forced pulses are incorporated into the control scheme. By combining an error transformation function and using Lyapunov stability theory, sufficient conditions for complete synchronization are derived, while Zeno behavior is also eliminated. Finally, numerical simulations validate the effectiveness of both strategies, demonstrating the advantages of the proposed methods in terms of performance tuning and resource conservation.
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