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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

1. completely state controllable as well as completely observable
2. completely state controllable but not observable
3. completely observable but not state controllable
4. neither state controllable nor observable