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IMA Journal of Mathematical Control and Information 1994 11(3):253-276; doi:10.1093/imamci/11.3.253
© 1994 by Institute of Mathematics and its Applications
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On stability radii of infinite–dimensional time–varying discrete––time systems

FABIAN WIRTH and DIEDERICH HINRICHSEN

Institut für Dynamische Systeme, Universität Bremen D–28334 Bremen, Germany

This note introduces a stability radius for discrete–time linear time–varying systems on Banach spaces under structured time–varying perturbations of multiple–output feedback type. Additive perturbations are considered which can be represented as a series of infinitely many perturbation terms. We derive counterparts to some results established for time–varying differentiable systems in [5, 7] and apply the results to periodic systems.


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