(Solved): (a) Describe, with the aid of diagrams the different pole positions on the splane and their effects ...

(a) Describe, with the aid of diagrams the different pole positions on the splane and their effects on system response. [8 marks] (b) Find the transfer function \\( C(s) / R(s) \\) for the system shown in FIGO3a. [12 marks] FIG Q3a (c) Using the Routh Hurwitz criteria and the transfer functions below, determine how many roots the system has in the right hand plane. Comment on the result. \\[ \\begin{array}{c} G_{1}=\\frac{1}{s^{2}+10} \\\\ G_{2}=\\frac{1}{s+2} \\\\ G_{3}=\\frac{4}{s} \\\\ G_{4}=\\frac{1}{s+3} \\end{array} \\]