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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