Allowable coefficient perturbations with preserved stability of a Hurwitz polynomial†

DOI10.1080/00207178608933643zbMath0594.93053OpenAlexW2054556934WikidataQ126246057 ScholiaQ126246057MaRDI QIDQ3725978

Mohammad B. Argoun

Publication date: 1986

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178608933643

zbMATH Keywords

Routh-Hurwitz criterionHurwitz polynomialallowable variations of the coefficients

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Real polynomials: analytic properties, etc. (26C05) Stability of control systems (93D99)

Related Items (7)

Stability analysis of interval matrices: improved bounds ⋮ New sufficient conditions for the stability of continuous and discrete time-delay interval systems ⋮ On sufficient conditions for the stability of interval matrices ⋮ Sufficient condition for the positive definiteness of symmetric interval matrices ⋮ Stability of a Hurwitz polynomial under coefficient perturbations: necessary and sufficient conditions ⋮ Stability of perturbed polynomials based on the argument principle and Nyquist criterion ⋮ Reduced conservatism in stability analysis of interval matrices

Cites Work

• Invariance of the strict Hurwitz property for polynomials with perturbed coefficients
• Linear system stability under parameter uncertainties
• Strictly Hurwitz property invariance of quartics under coefficient perturbation

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