A system is stable if the poles of the overall transfer function lie in the left half plane; these poles are the same as the eigenvalues of the state matrix. Consider the block diagram representation of a system shown in Figure 4.44, where \(k>0\) is a parameter. Determine the range of values of \(k\) for which the system is stable.

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U(s) FIGURE 4.44 Problem 17. 12 1 2s+1 ks+1 3 1 13 US Y(s)