A feedback system has a forward-path transfer function 
and a feedback-path transfer function 
. Is there a finite, positive value of K that makes this system unstable?
Explain how you know.
Yes
T (s) has a zero at s = 3 . Therefore as K is increased from zero, one branch of the root locus approaches this point which is in the right half-plane. Therefore, before K reaches infinity, a pole of H (s) is in the right half-plane.
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