Control Systems
Consider the function F(s) = ω/(s²+ω²). Where F(s) = Laplace transform of f(t). The final value of f(t) is equal to

 zero
 a value between -1 and +1
 infinite
 finite constant

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Control Systems
In the integral control of the single area system frequency error is reduced to zero. Then

  integrator output and speed changer position attain a constant value.
 integrator o/p increases but speed changer position comes down.
 integrator o/p decreases and speed changer position comes down.
 integrator o/p decreases but speed changer position moves up.

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