State variable equations are,=Ax+Bu

Verification

y = Cr+Du

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Where.

A = [[0, 1, 0], [0, 0, 1], [- k, - k, - k]]B = [[0], [0], [1]]C = [[1, 0, 0]]D = [0]

Determine the value of K such that the system is stable.

(a) K>0

(b) K > 1

(c) K<1

(d) k < 0