Algebraic test for the Hurwitz stability of a given segment of polynomials

zbMath1141.93043MaRDI QIDQ2469338

Baltazar Aguirre

Publication date: 5 February 2008

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

zbMATH Keywords

matrix inequalitiesHurwitz stable polynomialsminimum left extremesegments of polynomials

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Robust stability (93D09) Stability theory for ordinary differential equations (34D99)

Related Items (14)

Robustness properties preservation in suboptimal T1DM H_∞ control: ω‐SPR substitutions ⋮ Properties of the set of hadamardized Hurwitz polynomials ⋮ Polynomials in control theory parametrized by their roots ⋮ A new guardian map and boundary theorems applied to the stabilization of initialized fractional control systems ⋮ Stable polynomial curves and some properties with application in control ⋮ A panoramic sketch about the robust stability of time-delay systems and its applications ⋮ Conditions for the Schur stability of segments of polynomials of the same degree ⋮ Maximal unstable dissipative interval to preserve multi-scroll attractors via multi-saturated functions ⋮ Stability and multiscroll attractors of control systems via the abscissa ⋮ Robust stability by path-connectivity of fractional order polynomials ⋮ The boundary crossing theorem and the maximal stability interval ⋮ Smooth trivial vector bundle structure of the space of Hurwitz polynomials ⋮ A polynomial approach for generating a monoparametric family of chaotic attractors via switched linear systems ⋮ On the relation between Hurwitz stability of matrix polynomials and matrix-valued Stieltjes functions

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