Consider the closed-loop feedback control system shown in Fig. P4.8 Use Routh-Hurwitz criterion to determine the range

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Consider the closed-loop feedback control system shown in Fig. P4.8

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Use Routh-Hurwitz criterion to determine the range of \(\mathrm{K}\) for which the system is stable. Find also the number of roots of the characteristic equation that are in the right half of \(s\)-plane for \(\mathrm{K}=0.5\).

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