Stability and \(D\)-stability of the family of real polynomials

DOI10.1016/j.laa.2012.11.015zbMath1277.12001OpenAlexW2068899133MaRDI QIDQ1938582

Elizabeth A. Kalinina

Publication date: 21 February 2013

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.11.015

zbMATH Keywords

stability\(D\)-stabilityfamily of polynomialssingularities of differential mapsdiscriminant manifold

Mathematics Subject Classification ID

Related Items (2)

Stability and distance to instability for polynomial matrix families. Complex perturbations ⋮ A panoramic sketch about the robust stability of time-delay systems and its applications

Cites Work

• Sur la théorie des enveloppes
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• The method of symmetric and Hermitian forms in the theory of the separation of the roots of algebraic equations
• Value sets of polynomial families with coefficients depending nonlinearly on perturbed parameters
• Robustness analysis of polynomials with polynomial parameter dependency using Bernstein expansion
• Robust Stability via Sign-Definite Decomposition
• Polytopic families of quasi-polynomials: vertex-type stability conditions
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