The transfer function relating the output engine fan speed (rpm) to the input main burner fuel flow rate (lb/h) in a short takeoff and landing (STOL) fighter aircraft, ignoring the coupling between engine fan speed and the pitch control command, is (Schierman, 1992)

a. Find how many poles are in the right half-plane, in the left half-plane, and on the jω-axis.

b. Is this open-loop system stable?

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1.3s7 + 90.5s6 + 1970s + 15,000s +3120s – 41, 300s? – 5000s – 1840 + 103s7 + 1180s6 + 4040ss + 2150s4 – 8960s3 – 10, 600s2 – 1550s- 415 G(s) :