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bhuvi
why laplace transform is used in control systems rather than fourier transform????
The Fourier transform is a very specific version of the LaPlace transform. I think the LaPlace transform also includes information of the damping of signals (which can be important for control system engineering) and the Fourier transform does not.
http://mathoverflow.net/questions/16274/fourier-vs-laplace-transforms
If you have an initial value problem at t=0 , It's easy to get time domain from Laplace transform.