Results on positive pairs of polynomials and their application to the construction of stability domains

DOI10.1080/00207178708933889zbMath0624.93058OpenAlexW2001440843MaRDI QIDQ3026874

Huang Lin, Christopher V. Hollot

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/00207178708933889

zbMATH Keywords

stability domainslinear inequalitiesHurwitz polynomialpositive pair of polynomials

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Asymptotic stability in control theory (93D20) Real polynomials: location of zeros (26C10)

Related Items (5)

On the complete instability of interval polynomials ⋮ Multidimensional stability domain of special polynomial families ⋮ Real and complex polynomial stability and stability domain construction via network realizability theory ⋮ Geometry of the multidimensional stability domain in the space of even (odd) coefficients of the characteristic polynomial of linear systems ⋮ \(D\)-decomposition technique state-of-the-art

Cites Work

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• Convex combinations of stable polynomials
• Stability of families of polynomials: geometric considerations in coefficient space
• Ein neues Verfahren zur Beurteilung der Stabilität linearer Regelungs‐Systeme

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