Real and complex stability radii of polynomial matrices

Genin, Yves;Stefan, R;Van Dooren, Paul
(2002) Linear Algebra and Its Applications — Vol. 351, p. 381-410 (2002)

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  • Genin, YvesUCLouvain
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  • Stefan, R
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  • Van Dooren, PaulUCLouvain
    Author
Abstract
Analytic expressions are derived for the complex and real stability radii of non-monic polynomial matrices with respect to an arbitrary stability region of the complex plane. Numerical issues for computing these radii for different perturbation structures are also considered with application to robust stability of Hurwitz and Schur polynomial matrices. (C) 2002 Elsevier Science Inc. All rights reserved.
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Genin, Y., Stefan, R., & Van Dooren, P. (2002). Real and complex stability radii of polynomial matrices. Linear Algebra and Its Applications, 351, 381-410. https://doi.org/10.1016/S0024-3795(02)00278-1 (Original work published 2002)