A system has the third-order characteristic equation 5 3 + as 2 + bs + c = 0, where a

Chapter 0, Problem P6.12

(choose chapter or problem)

A system has the third-order characteristic equation 5 3 + as 2 + bs + c = 0, where a, b, and c are constant parameters. Determine the necessary and sufficient conditions for the system to be stable. Is it possible to determine stability of the system by just inspecting the coefficients of the characteristic equation?

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