Any Laplace transform can be inverted by evaluating the synthesis integral in Eqn. 15.2-2
on a suitably selected vertical line extending from –∞ to ∞ in the s-plane within the ROC
of the transform being inverted. But simpler methods based on Residue Theorem in
Complex Analysis exist for special Laplace transforms. We do not take up the detailed
analysis based on Residue Theorem here. However, the reader has to bear in mind the fact
that the ‘method of partial fractions’ for inverting certain special types of Laplace transforms
is based on Residue Theorem in Complex Analysis.
Linear time-invariant ...
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