In conclusion, when given a feedback system, the steps involved in determining the output are set up the transfer function, get it in the form of Y(Z) = H(Z)X(Z) and use the inverse z transform to determine the output.
Sources [1] z transform in system analysis, http://web.eecs.utk.edu/~roberts/ECE503/PresentationSlides/Chapter12Slides.pdf [2] Homework 8 from 438
