Routh Hurwitz Stability Criterion

High Quality Content by WIKIPEDIA articles! The Routh Hurwitz stability criterion is a necessary method to establish the stability of a single-input, single-output, linear time invariant control system. More generally, given a polynomial, some calculations using only the coefficients of that polynomial can lead to the conclusion that it is not stable. For the discrete case, see the Jury test equivalent. The criterion establishes a systematic way to show that the linearized equations of motion of a system have only stable solutions exp, that is where all p have negative real parts. It can be performed using either polynomial divisions or determinant calculus.

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High Quality Content by WIKIPEDIA articles! The Routh-Hurwitz stability criterion is a necessary method to establish the stability of a single-input, single-output, linear time invariant control system. More generally, given a polynomial, some calculations using only the coefficients of that polynomial can lead to the conclusion that it is not stable. For the discrete case, see the Jury test equivalent. The criterion establishes a systematic way to show that the linearized equations of motion of a system have only stable solutions exp, that is where all p have negative real parts. It can be performed using either polynomial divisions or determinant calculus.