A system has a characteristic equation q(s) = s 6 + 9s5 + 31.25s4 + 61.25s3 + 67.75s2 +

Chapter 0, Problem E6.15

(choose chapter or problem)

A system has a characteristic equation q(s) = s 6 + 9s5 + 31.25s4 + 61.25s3 + 67.75s2 + 14.75s + 15 = 0. (a) Determine whether the system is stable, using the Routh-Hurwitz criterion, (b) Determine the roots of the characteristic equation. Answer: (a) The system is marginally stable. (b)s = -3 , -4,- 1 2/, 0.5;

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