Necessary and sufficient conditions for the robustness of time-varying systems with applications to sampled-data systems

1 January 1993

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control

Vol. 38 (1) , 49-57
https://doi.org/10.1109/9.186311

Abstract

Necessary and sufficient conditions for robustness of time-varying systems with structured norm-bounded uncertainty are provided. The L/sup infinity / signal norm is used and the conditions are given in terms of the spectral radii of certain matrices obtained from the kernel representation of the time-varying system at hand. The derived conditions are then applied to continuous time linear time-invariant systems and for sampled-data systems.

Keywords

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