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Stability radii of positive discrete‐time systems under affine parameter perturbations
Author(s) -
Hinrichsen D.,
Son N. K.
Publication year - 1998
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/(sici)1099-1239(1998110)8:13<1169::aid-rnc381>3.0.co;2-#
Subject(s) - affine transformation , stability (learning theory) , control theory (sociology) , discrete time and continuous time , mathematics , computer science , pure mathematics , control (management) , statistics , artificial intelligence , machine learning
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.