Fabian Wirth
On Lipschitz continuity of the joint spectral radius.
Preprint series: Jahrestagung der Gesellschaft für angewandte Mathematik und Mechanik GAMM 2001, Zürich, Switzerland
MSC:
47D03 Groups and semigroups of linear operators
15A60 Norms of matrices
Abstract:

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.

Keywords: discrete inclusion, joint spectral radius, Lipschitz continuity

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Zentrum für Technomathematik (German)
Institute for Dynamical Systems
The Maths Department
The University of Bremen