Discrete Time State Equations

Obtain the state space representation of the following pulse transfer function in observable canonical form.

$\frac{Y(z)}{U(z)}=\frac{0.368z^{-1}+0.264z^{-2}}{1-1.368z^{-1}+0.368z^{-2}}$

Obtain the state space representation of the system shown below in Jordan canonical form:

$\frac{Y(z)}{U(z)}=\frac{2z^{3}+6z+5}{(z+2)^{2}(z+3)}$

Represent $X(z)=\frac{3z^{2}+7z+1}{z^{2}+2z+4}$ in observable canonical form.