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Determine the corresponding z -transform gz and the

Consider the forward loop transfer function in the sampled-data system as:

G(s) = K / s(s + 4)

(a) Determine the corresponding z -transform G(z) and the characteristic equation for this system.

(b) Using the bilinear transformation and Routh's Stability Criterion, determine the range of K for stability when the sampling time T = 0.25 s.

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