Abstract
Abstract The robustness of asymptotic hyperstabiIity for the perturbation caused by parasitic dynamics is analyzed by using the singular perturbation method. Since the strictly positive realness of a transfer function is not robust for such perturbations, it is required that some kind of limitations must be set to the hyperstabiIity problem. In this paper we introduce the limited hyperstabiIity problem which has Iimited feedback blocks in the feedback loop. By considering the Iimited hyperstable problem, we can give a limitation on the hyperstabiIity problem and analyze the robustness of the asymptotic hyperstabiIity.
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