Construct simulation diagram in phase variable form for systems with following transfer functions and develop state space

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Construct simulation diagram in phase variable form for systems with following transfer functions and develop state space model in matrix form.

(a) \(\mathrm{T}(s)=\frac{\mathrm{Y}(s)}{\mathrm{U}(s)}=\frac{11 s}{s^{3}+4 s^{2}+3 s+2}\)

(b) \(\mathrm{T}_{11}(s)=\frac{\mathrm{Y}_{1}(s)}{\mathrm{U}(s)}=\frac{-s^{2}+4}{s^{3}+3 s^{2}+s+2}\)

\[
\mathrm{T}_{21}(s)=\frac{\mathrm{Y}_{2}(s)}{\mathrm{U}(s)}=\frac{s^{2}+s+5}{s^{3}+3 s^{2}+s+2}
\]

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