Initial part of a response in Simulink: how to fade in?

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Hello forum, I am trying to simulate the behavior of a 1x1 dynamic system, giving as input a sinusoidal signal (constant amplitude) with a variable frequency (from 0 Hz to 100 Hz, with a sweep rate of 2 Hz/s). The problem is that, not knowing the initial conditions of the output, the response of the system shows oscillations in the first part (see picture below):
How to avoid this? I would like to see a very clean response, similar to the input signal

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