Some properties of zeros of polynomials with vanishing coefficients

DOI10.1016/j.laa.2008.11.008zbMath1173.30004OpenAlexW2020424385MaRDI QIDQ1014462

Michał Góra, Stanisław Białas

Publication date: 29 April 2009

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2008.11.008

zbMATH Keywords

robust stabilityroots of polynomialsHurwitz polynomialconvex combinations of polynomials

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)

Related Items (1)

A few results concerning the Hurwitz stability of polytopes of complex polynomials

Cites Work

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• Root locations of an entire polytope of polynomials: It suffices to check the edges
• An edge theorem for polytopes of polynomials which can drop in degree
• Making a polynomial Hurwitz-invariant by choice of feedback gains†
• Application of Kharitonov's theorem to robustly increase the degree of Hurwitz polynomials
• Continuity and Location of Zeros of Linear Combinations of Polynomials
• On the Total Nonnegativity of the Hurwitz Matrix

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