Control Systems
The impulse response of a system is c(t) = -te-t + 2 e-t (t>0). Its closed loop transfer function is

 (2s+1)/(s+1)²
 (2s+2)/(s+1)²
 (2s+1)/s²
 (2s+2)/s²

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Control Systems
When deriving the transfer function of linear element

 initial conditions are assumed to be zero but loading is taken into account.
 initial conditions are taken into account but the element is assumed to be not loaded.
 both initial conditions and loading are taken into account.
 initial conditions are assumed to be zero and the element is assumed to be not loaded.

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