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About Bode Plot gain at high frequency

Hello,

we generally use bode plot to check stability with phase margin.

Gain slope can be affected to the stability? (for example, Is there any condition whether  -40dB/dec gain slope is unstable or not )

I have seen that the gain should be low at high frequency, so should use pole at high frequency to make gain down.

Why the gain should be low at high frequency, and what is the condition of gain at high frequency?

Thank you