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The open-loop transfer function of a plant is given as $G(s)=\dfrac{1}{s^{2}-1}$. If the plant is operated in a unity feedback configuration, then the lead compensator that can stabilize this control system is

  1. $\frac{10(s-1)}{s+2}$
  2. $\frac{10(s+4)}{s+2}$
  3. $\frac{10(s+2)}{s+10}$
  4. $\frac{2(s+2)}{s+10}$

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