1986International Journal of ControlRequires access

Allowable coefficient perturbations with preserved stability of a Hurwitz polynomial†

M.B. Argoun

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Abstract

Given a polynomial P(s) = ansn + an−11Sn−1 + … -+ a1s + a0 which satisfies the Routh-Hurwitz criterion, a procedure is given for finding non-conservative upper bounds on the allowable variations of the coefficients such that the perturbed polynomial maintains the stability property.

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What this paper is about

Given a polynomial P(s) = ansn + an−11Sn−1 + … -+ a1s + a0 which satisfies the Routh-Hurwitz criterion, a procedure is given for finding non-conservative upper bounds on the allowable variations of the coefficients such that the perturbed polynomial maintains the stability property.

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Available abstract

Given a polynomial P(s) = ansn + an−11Sn−1 + … -+ a1s + a0 which satisfies the Routh-Hurwitz criterion, a procedure is given for finding non-conservative upper bounds on the allowable variations of the coefficients such that the perturbed polynomial maintains the stability property.

Key concepts: Routh–Hurwitz stability criterion, Hurwitz polynomial, Kharitonov's theorem, Mathematics, Polynomial, Stability (learning theory), Stable polynomial, Property (philosophy)

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