P12.12 Consider a control system with the plant’s model

== x(t) = Ax(t) + Bu(t) y(t) = Cx(t), 0 1 0 where A = 0 0 1-8- -9-6-4 C=[010] B=0 and The system uses output feedback u(t) = r(t) - Ky(t), where r(t) is the reference input. Plot the root locus. Derive the transfer function of the closed-loop system and its sensitivity to variations in parameter K.