Fabian Wirth, Diederich Hinrichsen
On stability radii of infinite dimensional time-varying discrete-time systems
The paper is published: IMA Journal of Mathematical Control and Information, 11:253-276, 1994
93D09 Robust stability
93C55 Discrete-time
This note introduces a stability radius for discrete-time
linear time-varying systems on Banach spaces under structured
time-varying perturbations of multi--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 recent papers by Hinrichsen and Pritchard and apply the
results to periodic systems.

Keywords: Stability radius, time-varying, infinite dimensional system, discrete-time, periodic systems