What is the purpose of Laplace Transform
-transforms an LTI from time domain to frequency domain
-allows us to solve differential equations (frequency response)
Define a transfer function
The ratio of Y(s)/U(s) = G(s)
Define a characteristic equation
setting the denominator polynomial to 0
What is forced response?
the way a system responds to changes in the forcing input
What is a natural response?
depends only on the system and initial conditions