Article ID Journal Published Year Pages File Type
7151839 Systems & Control Letters 2014 7 Pages PDF
Abstract
Recent results in equivalence between classes of multipliers for slope-restricted nonlinearities are extended to multipliers for bounded and monotone nonlinearities. This extension requires a slightly modified version of the Zames-Falb theorem and a more general definition of phase-substitution. The results in this paper resolve apparent contradictions in the literature on classes of multipliers for bounded and monotone nonlinearities.
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Physical Sciences and Engineering Engineering Control and Systems Engineering
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On multipliers for bounded and monotone nonlinearities
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