Zero location of polynomials with respect to the unit-circle unhampered by nonessential singularities

DOI10.1109/81.989164zbMath1368.30003OpenAlexW2138695984MaRDI QIDQ5349492

Yuval Bistritz

Publication date: 25 August 2017

Published in: IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/81.989164

Mathematics Subject Classification ID

Eigenvalue problems (93B60) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Polynomials and rational functions of one complex variable (30C10)

Related Items (13)

Fraction-free unit circle stability tests ⋮ Bounds for resultants of univariate and bivariate polynomials ⋮ A Polynomial Method for Stability Analysis of LTI Systems Independent of Delays ⋮ Stability regions for synchronized τ-periodic orbits of coupled maps with coupling delay τ ⋮ A fraction-free unit-circle zero location test for a polynomial with any singularity profile ⋮ On Newman and Littlewood polynomials with a prescribed number of zeros inside the unit disk ⋮ A New Delay-Independent Stability Test for LTI Systems with Single Delay ⋮ Properties of interpolatory quadrature with equidistant nodes on the unit circle ⋮ Certified non-conservative tests for the structural stability of discrete multidimensional systems ⋮ Fraction-free computation of the unit-circle resultant with any singularity profile ⋮ Counting and Testing Dominant Polynomials ⋮ Stability and stabilisation of linear multidimensional discrete systems in the frequency domain ⋮ Direct bilinear Routh stability criteria for discrete systems

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