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Stability radii of positive discrete-time systems under affine parameter perturbations
Authors:D Hinrichsen  N K Son
Abstract:In this paper we study stability radii of positive linear discrete-time systems under affine parameter perturbations. It is shown that real and complex stability radii of positive systems coincide for arbitrary perturbation structures, in particular, for blockdiagonal disturbances as considered in μ-analysis. Estimates and computable formulae are derived for these stability radii. The results are derived for arbitrary perturbation norms induced by monotonic vector norms (e.g. p-norms, 1⩽p⩽∞). © 1998 John Wiley & Sons, Ltd.
Keywords:positive system  blockdiagonal perturbation  stability radius  μ  -analysis  structured singular value
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