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

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.<
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