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

DOI10.1016/j.laa.2011.07.042zbMath1246.30011OpenAlexW2061843682MaRDI QIDQ665937

Michał Góra, Stanisław Białas

Publication date: 7 March 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.07.042

zbMATH Keywords

robust stabilityzeros of polynomialsHurwitz stabilitypolytopes of polynomials

Mathematics Subject Classification ID

Robust stability (93D09) 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) Real polynomials: location of zeros (26C10)

Related Items (1)

LMI-based robust control of uncertain nonlinear systems via polytopes of polynomials

Cites Work

• Guardian maps and the generalized stability of parametrized families of matrices and polynomials
• Some properties of zeros of polynomials with vanishing coefficients
• A necessary and sufficient condition for the stability of convex combinations of stable polynomials or matrices
• 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
• Robust stability of convex and compact sets of complex polynomials
• Robust Schur stability of a polytope of polynomials
• Tests for Hurwitz and Schur properties of convex combination of complex polynomials
• The use of Routh array for testing the Hurwitz property of a segment of polynomials.
• Comment on ``The use of Routh array for testing the Hurwitz property of a segment of polynomials.
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