Using the Laplace transform, find and graph the time-domain response y(t) of the systems with these transfer functions to the sinusoidal excitation, x(t) = cos (10?t)u(t) .
»X
Transfer function:
s
---------
s^2 + 987
»H
Transfer function:
s - 2
--------------
s^2 - 4 s + 20
»Y
Transfer function:
s^2 - 2 s
------------------------------------------
s^4 - 4 s^3 + 1007 s^2 - 3948 s + 1.974e04
»[z,p,k] = zpkdata(Y,'v') ;
»z
z =
0
2
»p
p =
-0.00000000000000 +31.41592653589795i
-0.00000000000000 -31.41592653589795i
2.00000000000000 + 4.00000000000000i
2.00000000000000 - 4.00000000000000i
r =
-0.00105906221326 - 0.01610704734047i
-0.00105906221326 + 0.01610704734047i
0.00105906221326 + 0.00203398509622i
0.00105906221326 - 0.00203398509622i
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