Question: A feedback control system has a characteristic equation s3 + (1 + K)s2 + 10s + (5 + 15K) = 0. The parameter K must

A feedback control system has a characteristic equation
s3 + (1 + K)s2 + 10s + (5 + 15K) = 0.
The parameter K must be positive. What is the maximum value K can assume before the system becomes unstable? When K is equal to the maximum value, the system oscillates. Determine the frequency of oscillation.

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