Open problems related to the Hurwitz stability of polynomials segments

DOI10.1155/2018/2075903zbMath1426.93247OpenAlexW2792948101MaRDI QIDQ1720552

Eric Campos-Cantón, Baltazar Aguirre-Hernández, Raúl Villafuerte-Segura, Carlos-Arturo Loredo-Villalobos, Faustino-Ricardo García-Sosa

Publication date: 8 February 2019

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/2075903

Mathematics Subject Classification ID

Robust stability (93D09) Algebraic methods (93B25) Real polynomials: location of zeros (26C10)

Related Items (3)

A panoramic sketch about the robust stability of time-delay systems and its applications ⋮ Stabilization on input time-varying delay for linear switched systems with truncated predictor control ⋮ A non-conservative state feedback control methodology for linear systems with state delay

Cites Work

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• Variational formulation of pre-stressed solid-fluid mixture theory, with an application to wave phenomena
• A necessary and sufficient condition for the stability of convex combinations of stable polynomials or matrices
• Maximal unidirectional perturbation bounds for stability of polynomials and matrices
• Sufficient algebraic conditions for stability of cones of polynomials
• Properties of the set of hadamardized Hurwitz polynomials
• Stability of polynomials with conic uncertainty
• Hadamard products of stable polynomials are stable
• Necessary conditions for Hadamard factorizations of Hurwitz polynomials
• Linear plane wave propagation and normal transmission and reflection at discontinuity surfaces in second gradient 3D continua
• Fast stability checking for the convex combination of stable polynomials
• An alternative proof of Kharitonov's theorem
• Stability conditions for polytopes of polynomials
• Argument conditions for Hurwitz and Schur polynomials from network theory
• On the stability of a segment 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.

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