The I/O equation of a system is derived as [2 dddot{y}+frac{1}{2} ddot{y}+y=dddot{u}+frac{1}{3} dot{u}+u] a. Find the state-space

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The I/O equation of a system is derived as

\[2 \dddot{y}+\frac{1}{2} \ddot{y}+y=\dddot{u}+\frac{1}{3} \dot{u}+u\]

a. Find the state-space representation.

b. Find the transfer function from the state-space form.

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