Robust stability of linear systems described by higher-order dynamic equations

DOI10.1109/9.237662zbMath0788.93069OpenAlexW2135923462MaRDI QIDQ3143012

Georgios Pappas, Diederich Hinrichsen

Publication date: 20 December 1993

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/9.237662

zbMATH Keywords

stability radiusHurwitz polynomialSchur polynomialscomplex affine perturbationsmonic matrix polynomials

Mathematics Subject Classification ID

Robust stability (93D09)

Related Items (13)

On the Stability Radius of Matrix Polynomials ⋮ Structured stability radii and exponential stability tests for Volterra difference systems ⋮ Pseudospectra and stability radii for analytic matrix functions with application to time-delay systems ⋮ Computing the distance to continuous-time instability of quadratic matrix polynomials ⋮ The structured controllability radii of higher order systems ⋮ On the stability radius for linear time-delay systems ⋮ A bisection method for measuring the distance of a quadratic matrix polynomial to the quadratic matrix polynomials that are singular on the unit circle ⋮ Structured pseudospectra for nonlinear eigenvalue problems ⋮ D-stability robustness for linear discrete uncertain singular systems with delayed perturbations ⋮ On the computation of structured singular values and pseudospectra ⋮ Stability radii of higher order positive difference systems ⋮ Stability Analysis of Implicit Difference Equations Under Restricted Perturbations ⋮ Real and complex stability radii of polynomial matrices

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