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On Lipschitz continuity of the joint spectral radius
Author(s) -
Wirth F.
Publication year - 2002
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/1617-7061(200203)1:1<109::aid-pamm109>3.0.co;2-f
Subject(s) - lipschitz continuity , mathematics , radius , spectral radius , joint (building) , mathematical analysis , exponential function , pure mathematics , lipschitz domain , space (punctuation) , physics , computer science , eigenvalues and eigenvectors , quantum mechanics , architectural engineering , operating system , computer security , engineering
Exponential stability of a discrete linear inclusion is characterized by the value of the joint (or generalized) spectral radius. This quantity is locally Lipschitz continuous on the space of compact irreducible sets of matrices. We give a brief outline of the proof.