Control Systems
The transfer function of the control system depends on

 initial conditions of input and output.
 the system parameters alone.
 nature of the input.
 nature of the output.

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Control Systems
When deriving the transfer function of linear element

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

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