Complete root distribution with respect to parabolas and some results with respect to hyperbolas and sectors

DOI10.1080/00207178208932912zbMath0489.30006OpenAlexW1996495722MaRDI QIDQ3950780

Ezra Zeheb, David Hertz

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1080/00207178208932912

zbMATH Keywords

characteristic polynomialHurwitz polynomialparabolasroot clusteringroot exclusionhyperbolascomplete root distributionrelationships between root distribution and physical properties of the systemSturm test

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials and rational functions of one complex variable (30C10) Stability of control systems (93Dxx)

Related Items

Root exclusion from complex polydomains and some of its applications ⋮ An algebraic algorithm for determining the desired gain of multivariable feedback systems ⋮ Robust control of the characteristic values of systems with possible parameter variations ⋮ Root clustering for rational convex regions

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