<p>This article is mainly devoted to the investigation of output synchronization for multi-weighted complex networks under fixed-time impulsive control and impulse-dependent Lyapunov technique. To start with, a more flexible and universal fixed-time stability theorem for nonlinear impulsive models is established, and a more accurate estimate for the convergence time is acquired by the aid of optimal value analysis, which improves some known results. Subsequently, based on output information of multi-weighted network models, through designing a class of fixed-time impulsive control protocol and introducing an impulsive-time dependent Lyapunov function, some less conservative conditions are obtained to guarantee the fixed-time output synchronization for the addressed models, and the upper bound of synchronization time is accurately estimated by employing the results of developed fixed-time stability theory. Note that the restrictions on impulsive control gain and output matrix here are greatly relaxed compared with the existing research. The superiority of the obtained results eventually are validated by two typical examples.</p>