A system model and its inputs and outputs are provided Find the appropriate transfer function or matrix ( left begin array l ddot x 1 x 1 left(x 2 x 1 ight) left( dot x 2 dot x 1 ight) f 1 2 ddot x 2 left(x 2 x 1 ight) left( dot x 2 dot x 1 ight) f 2 (t), f 2 (t) text inputs, x 1 , x 2 text outputs...

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A system model and its inputs and outputs are provided. Find the appropriate transfer function or matrix.

Question:

A system model and its inputs and outputs are provided. Find the appropriate transfer function or matrix.

$\left\{\begin{array}{l}\ddot{x}_{1}+x_{1}-\left(x_{2}-x_{1}\right)-\left(\dot{x}_{2}-\dot{x}_{1}\right)=f_{1} \\ 2 \ddot{x}_{2}+\left(x_{2}-x_{1}\right)+\left(\dot{x}_{2}-\dot{x}_{1}\right)=f_{2}(t), f_{2}(t)=\text { inputs, } x_{1}, x_{2}=\text { outputs }\end{array}\right.$

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