The state-transition matrix of a closed-loop control system with a negative unity feedback is as follows: Herein,

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The state-transition matrix of a closed-loop control system with a negative unity feedback is as follows:

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Herein, \(k\) is the forward gain of the system. Determine the break-away/break-in point and the asymptotes intersection on the real axis.


1) \(\frac{-6+\sqrt{3}}{3},-6\)
2) \(\frac{-6+\sqrt{3}}{3},-2\)
3) \(\frac{-6-\sqrt{3}}{3},-2\)
4) \(\frac{-6-\sqrt{3}}{3},-6\)

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