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Electrical Engineering Question

Question
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Step 1

(a)

Any system is BIBO stable if its poles lie in left side of s-plane or its pole having negative real part.

Step 2

Laplace transform of given system is –

(D2 7D+10)y(t) = (D-1)xt)
Laplace transform is -
(S2 7S 10)Y(s) = (S -1).X(s)
Y(s)
S-1
s2 7S10
X(s)
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(D2 7D+10)y(t) = (D-1)xt) Laplace transform is - (S2 7S 10)Y(s) = (S -1).X(s) Y(s) S-1 s2 7S10 X(s)

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Step 3

Poles of system a...

s2 7S10 0
-7 +72 -4x1x 10
2x1
-7 3
2
S -5,-2
Poles having negative real parts so that this system is BIBO stable.
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s2 7S10 0 -7 +72 -4x1x 10 2x1 -7 3 2 S -5,-2 Poles having negative real parts so that this system is BIBO stable.

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