GATE EC 2021 Set 1 Q33 — Control Systems

The electrical system shown in the figure converts input source current $i_{s}(t)$ to output voltage $v_{o}(t)$

Current i $i_{L}(t)$ in the inductor and voltage $v_{c}(t)$ across the capacitor are taken as the state variables, both assumed to be initially equal to zero, i.e., $i_{L}(0) =0$ and $v_{c}(0)=0$. The system is