On the stability radius of a Schur polynomial

DOI10.1016/0167-6911(93)90030-AzbMath0784.93079OpenAlexW2045499615MaRDI QIDQ687681

Juan-Miguel Gracia

Publication date: 28 October 1993

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(93)90030-a

zbMATH Keywords

Chebyshev polynomialsSchur stabilitystability hypersphere

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05)

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On the stability hyperellipsoid of a Schur polynomial ⋮ Robust pole placement in discrete-time systems ⋮ Computation of the stability radius of a Schur polynomial: An orthogonal projection approach ⋮ Concise estimate of allowable perturbations for Schur property of real polynomials ⋮ Stable polytopes for discrete systems by using box coefficients ⋮ An iterative method for computing robustness of polynomial stability

Cites Work

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• Robust stabilization against structured perturbations
• Inertia characteristics of self-adjoint matrix polynomials
• On the stability properties of polynomials with perturbed coefficients
• Robustness measures for linear systems with application to stability radii of Hurwitz and Schur polynomials
• A canonical parameter space for linear systems design

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