Question: Problem 1 The second-order system state-space representation is shown below x˙=[−1010∗k2k−1]×x(t)+[1k]×u(t)y(t)=k×x(t)+u(t) where k∈R. –

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• Obtain the possible set of values of k in which the system is asymptotically stable?
• Obtain the possible set of values of k in which the system is unstable?
• Obtain the possible set of values of k in which the system is marginally stable?
• Find the closed-loop transfer function of this system?
• Sketch the Mikhailov plot for different values of k and obtain the stability
• Sketch the Nyqusit plot for different values of k and obtain the stability

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