None of the poles of a linear control system lie in the right half of $$s$$-plane. For a bounded input, the output of this system

The number of roots on the equation $$2{s^4} + {s^3} + 3{s^2} + 5s + 7 = 0$$ that lie in the right half of $$S$$ plane is:

The asymptotic magnitude Body plot of a system is given in Figure. Find the transfer function of the system analytically. It is known that the system is minimal phase system.

The phase lead compensation is used to