Find the state-space form of the mathematical model. (left{begin{array}{l}ddot{z}_{1}+frac{3}{4}left(z_{1}-z_{2} ight)+2 dot{z}_{1}+z_{1}=F(t) dot{z}_{2}+frac{3}{4}left(z_{2}-z_{1} ight)=0end{array} ight.), outputs are

Find the state-space form of the mathematical model.

\(\left\{\begin{array}{l}\ddot{z}_{1}+\frac{3}{4}\left(z_{1}-z_{2}\right)+2 \dot{z}_{1}+z_{1}=F(t) \\ \dot{z}_{2}+\frac{3}{4}\left(z_{2}-z_{1}\right)=0\end{array}\right.\), outputs are \(z_{1}\) and \(z_{2}\).