Consider the systems with the transfer functions GA(s) = 1 5s , GB(s) = 1 s + 0.5 , GC(s) = 1 s + 0.5 , GD(s) = 0.5 s + 0.5 GE(s) = 1 2s , GF (s) = (s + 1) (s 2 + s + 1), GG(s) = (s + 1) (s 2 + s + 1), GH(s) = (s + 1) (s 2 + 0.5s + 1) a) What is the static gain of the systems? b) What is the time constant(s) and/or undamped eigenfrequency? c) What is the damping factor? d) What is the numerator time constant? e) Based on the above, what is the most characteristic property for each system? How would you recognize the system based on the step response? And how would you tell the difference between systems of same type? All questions might not be relevant for all systems, motivate why if that is the case.