Given the difference equation a. with x(n)= b. C. y(n + 2)-y(n+1)->(n)= x(n), -(()*. 0, n20 nz0 and initial conditions (0)=0,1)=1 n<0 Applying the z-transform to both sides of the equation find the expression for Y(z) Using the fractional representation of Y(z) find the original sequence y(n) Determine whether the discrete control system described by the equation above is stable or unstable

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Could someone solv.e this problem? It is from control theory

Given the difference equation
a.
with x(n)=
b.
C.
y(n + 2)-y(n+1)->(n)= x(n),
-(()*.
0,
n20
nz0 and initial conditions (0)=0,1)=1
n<0
Applying the z-transform to both sides of the equation find the expression
for Y(z)
Using the fractional representation of Y(z) find the original sequence y(n)
Determine whether the discrete control system described by the equation above
is stable or unstable
Transcribed Image Text:Given the difference equation a. with x(n)= b. C. y(n + 2)-y(n+1)->(n)= x(n), -(()*. 0, n20 nz0 and initial conditions (0)=0,1)=1 n<0 Applying the z-transform to both sides of the equation find the expression for Y(z) Using the fractional representation of Y(z) find the original sequence y(n) Determine whether the discrete control system described by the equation above is stable or unstable
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