The transfer function that corresponds to the inlet volumetric flowrate $Fi{n}_{in}(t)$ and the

outlet volumetric flowrate $F_{ou}(t)$ of two mixing tanks in parallel is given below:

$G(s)=\frac{[(1-a)A_1{R}_1+a{A}_2{R}_2]s+1}{(A_1{R}_{1}s)(A_2{R}_{2}s+1)}$

What are the poles and zeros of the system? Are there any common factors? And under what

conditions?

$(11)$