Question: Transfer function of a complex control system is given below. T(s): = 30s + 3s + s s6+3s5+4s + 6s + 5s +3s+2 a) Observe system's stability according to coefficient tests and mention your findings. b) Design the Routh array for stability of this system with Routh Hurwitz stability criterion. c) Mention the number of characteristic roots on all significant locations of s-plane. d) Specify this system as stable, unstable, or marginally stable and mention the reason for your claim.