A unified approach for the stability robustness of polynomials in a convex set

DOI10.1016/0005-1098(92)90147-8zbMath0766.93065OpenAlexW2175993482MaRDI QIDQ1194901

Edward Joseph Davison, Li Qiu

Publication date: 6 October 1992

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0005-1098(92)90147-8

zbMATH Keywords

gaugestability robustness

Mathematics Subject Classification ID

Robust stability (93D09)

Related Items (4)

Stability of polynomials with conic uncertainty ⋮ An iterative method for computing robustness of polynomial stability ⋮ A unified approach for the stability robustness of polynomials in a convex set ⋮ A simple procedure for the exact stability robustness computation of polynomials with affine coefficient perturbations

Cites Work

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• A simple procedure for the exact stability robustness computation of polynomials with affine coefficient perturbations
• Root locations of an entire polytope of polynomials: It suffices to check the edges
• Maximal unidirectional perturbation bounds for stability of polynomials and matrices
• A unified approach for the stability robustness of polynomials in a convex set
• Stability of polynomials under coefficient perturbation
• Robustness analysis for linear dynamical systems with linearly correlated parametric uncertainties
• A generalization of Kharitonov's theorem; Robust stability of interval plants
• A generalization of Kharitonov's four-polynomial concept for robust stability problems with linearly dependent coefficient perturbations
• Gershgorin Theory for the Generalized Eigenvalue Problem Ax = λBx

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