Real and complex stability radii of polynomial matrices

DOI10.1016/S0024-3795(02)00278-1zbMath1004.15019MaRDI QIDQ1611909

Y. Genin, Radu Ştefan, Paul Van Dooren

Publication date: 28 August 2002

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

robustness analysisrobust stabilitystability radiuspolynomial matrixstructured matrix perturbation

Mathematics Subject Classification ID

Robust stability (93D09) Inequalities involving eigenvalues and eigenvectors (15A42) Matrices over function rings in one or more variables (15A54)

Related Items (13)

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 ⋮ Approximating the nearest stable discrete-time system ⋮ On the stability radius for linear time-delay systems ⋮ Exponential Stability and Robust Stability for Linear Time-Varying Singular Systems of Second Order Difference Equations ⋮ A bisection method for measuring the distance of a quadratic matrix polynomial to the quadratic matrix polynomials that are singular on the unit circle ⋮ D-stability robustness for linear discrete uncertain singular systems with delayed perturbations ⋮ Robust stability of delay difference systems under fractional perturbations in infinite-dimensional spaces ⋮ A predictor-corrector type algorithm for the pseudospectral abscissa computation of time-delay systems ⋮ Stability radii of positive higher order difference systems under fractional perturbations ⋮ Stability radii of higher order positive difference systems ⋮ On the distance to instability of quadratic matrix polynomials ⋮ Stability radii of higher order linear difference systems under multi-perturbations

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