Electric Circuits and Networks, Ist Edition by Pearson

12.3.7 Zero-Input Response by Convolution Integral

We had observed that the convolution integral gives the zero-state response for a right-sided

input. That raises the question – can we not bring the zero-input response also under the

convolution integral?

The zero-input response arises from the non-zero initial energy storage in the inductors

and capacitors. We remember that the inductors and capacitors with non-zero initial condition

can be replaced with elements with zero initial condition along with suitably connected

impulse sources to account for the initial conditions. Thus, we can reduce any circuit problem

with non-zero initial energy storage ...