Given is a transfer function of a system: s + 1 H(s) s2 + 4s + 8 a) Is this system stable? Justify b) Find the impulse response of the system h(t) c) Assuming the unit-step input to this system, what...

Extracted text: Given is a transfer function of a system: s + 1 H(s) s2 + 4s + 8 a) Is this system stable? Justify b) Find the impulse response of the system h(t) c) Assuming the unit-step input to this system, what is the final value of the output y(t) of this system i.e. lim y(t) ? (hint: no need to derive y(t) i.e. the inverse Laplace Transform)? d) Assume you place a unity (negative) feed-back loop around the system. Derive the equivalent transfer function of the closed-loop system Heg (s). Ignoring any zeros and based only on the poles of the closed-loop system- what are the values of the relative damping factor 3, the relative undamped natural frequency and the relative damped natural frequency of the closed-loop system? Ignoring any zeros and based only on the poles of the closed-loop system - would you expect an overshoot when unit step input is applied to the closed-loop system Heq(s) (Justify) ?