The development of algorithms needed for the analytic solution of stat
e space design equations using a computer algebra system (MapleV) is p
resented in this article. These calculations involve matrix manipulati
ons, eigenvalue-eigenvector determinations, Laplace and Inverse Laplac
e transformations, Z and Inverse Z transformations, which are complex,
tedious, and error prone, even for simple examples. The process of pr
ogramming with MapleV encourages appreciation of the important aspects
of mathematical investigation, because there is one-to-one correspond
ence between the symbolic code and the mathematical algorithms being p
rogrammed. The use of MapleV has provided symbolic and numerical resul
ts, quickly and efficiently, with a tremendous gain in time and with m
inimal effort.